{"id":432,"date":"2020-08-21T19:40:49","date_gmt":"2020-08-21T23:40:49","guid":{"rendered":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/systems-of-measurement\/"},"modified":"2021-03-24T10:53:02","modified_gmt":"2021-03-24T14:53:02","slug":"systems-of-measurement","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/systems-of-measurement\/","title":{"raw":"3.1 Systems of Measurement","rendered":"3.1 Systems of Measurement"},"content":{"raw":"[latexpage]\n<div class=\"textbox textbox--learning-objectives\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nBy the end of this section, you will be able to:\n<ul>\n \t<li>Make unit conversions in the imperial system<\/li>\n \t<li>Use mixed units of measurement in the imperial system<\/li>\n \t<li>Make unit conversions in the metric system<\/li>\n \t<li>Use mixed units of measurement in the metric system<\/li>\n \t<li>Convert between the imperial and the metric systems of measurement<\/li>\n \t<li>Convert between Fahrenheit and Celsius temperatures<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Make Unit Conversions in the Imperial System<\/h1>\n<p id=\"fs-id1170653740434\">There are two systems of measurement commonly used around the world. Most countries use the metric system. Canada uses the metric system, and the United States use the imperial system of measurement. However, people in Canada often use imperial measurements as well. We will look at the imperial system first.<\/p>\n<p id=\"fs-id1170653846703\">The imperial system of measurement uses units of inch, foot, yard, and mile to measure length and pound and ton to measure weight. For capacity, the units used are cup, pint, quart, and gallons. Both the imperial system and the metric system measure time in seconds, minutes, and hours.<\/p>\n<p id=\"fs-id1170653916421\">The equivalencies of measurements are shown in the table below. The table also shows, in parentheses, the common abbreviations for each measurement.<\/p>\n\n<table id=\"fs-id1170654027716\" class=\"grid\" style=\"width: 100%;\" summary=\"This table shows the US System of Measurement. Each cell contains information about length, weight, volume, and time, respectively. The length cell notes that foot (ft.) equals inches (in.), yard (yd.) equals feet (ft.), and mile (mi.) equals feet (ft.). The volume cell notes that 3 teaspoons (t) equals 1 tablespoon (T), 16 tablespoons (T) equals 1 cup (C), 1 cup (C) equals 8 fluid ounces (fl. oz.), 1 pint (pt.) equals 2 cups (C), 1 quart (qt.) equals 2 pints (pt.), and 1 gallon (gal) equals 4 quarts (qt.). The weight cell notes that 1 pound (lb.) equals 16 ounces (oz.) and 1 ton equals 2000 pounds (lb.). Finally, the time cell notes that 1 minute (min) equals 60 seconds (sec), 1 hour (hr) equals 60 minutes (min), 1 day equals 24 hours (hr), 1 week (wk) equals 7 days, and 1 year (yr) equals 365 days.\"><caption>Imperial System of Measurement<\/caption>\n<tbody>\n<tr valign=\"top\">\n<td style=\"width: 297.906px;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{ccc}\\mathbf{\\text{Length}}\\hfill &amp; &amp; \\begin{array}{ccc}1\\phantom{\\rule{0.2em}{0ex}}\\text{foot}\\phantom{\\rule{0.2em}{0ex}}\\text{(ft.)}\\hfill &amp; =\\hfill &amp; 12\\phantom{\\rule{0.2em}{0ex}}\\text{inches}\\phantom{\\rule{0.2em}{0ex}}\\text{(in.)}\\hfill \\\\ 1\\phantom{\\rule{0.2em}{0ex}}\\text{yard}\\phantom{\\rule{0.2em}{0ex}}\\text{(yd.)}\\hfill &amp; =\\hfill &amp; 3\\phantom{\\rule{0.2em}{0ex}}\\text{feet}\\phantom{\\rule{0.2em}{0ex}}\\text{(ft.)}\\hfill \\\\ 1\\phantom{\\rule{0.2em}{0ex}}\\text{mile}\\phantom{\\rule{0.2em}{0ex}}\\text{(mi.)}\\hfill &amp; =\\hfill &amp; 5,280\\phantom{\\rule{0.2em}{0ex}}\\text{feet}\\phantom{\\rule{0.2em}{0ex}}\\text{(ft.)}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\n<td style=\"width: 357.906px;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{ccc}\\mathbf{\\text{Volume}}\\hfill &amp; &amp; \\begin{array}{ccc}3\\phantom{\\rule{0.2em}{0ex}}\\text{teaspoons}\\phantom{\\rule{0.2em}{0ex}}\\text{(t)}\\hfill &amp; =\\hfill &amp; 1\\phantom{\\rule{0.2em}{0ex}}\\text{tablespoon}\\phantom{\\rule{0.2em}{0ex}}\\text{(T)}\\hfill \\\\ \\text{16 tablespoons}\\phantom{\\rule{0.2em}{0ex}}\\text{(T)}\\hfill &amp; =\\hfill &amp; \\text{1 cup}\\phantom{\\rule{0.2em}{0ex}}\\text{(C)}\\hfill \\\\ \\text{1 cup}\\phantom{\\rule{0.2em}{0ex}}\\text{(C)}\\hfill &amp; =\\hfill &amp; \\text{8 fluid ounces}\\phantom{\\rule{0.2em}{0ex}}\\text{(fl. oz.)}\\hfill \\\\ \\text{1 pint}\\phantom{\\rule{0.2em}{0ex}}\\text{(pt.)}\\hfill &amp; =\\hfill &amp; \\text{2 cups}\\phantom{\\rule{0.2em}{0ex}}\\text{(C)}\\hfill \\\\ \\text{1 quart}\\phantom{\\rule{0.2em}{0ex}}\\text{(qt.)}\\hfill &amp; =\\hfill &amp; \\text{2 pints}\\phantom{\\rule{0.2em}{0ex}}\\text{(pt.)}\\hfill \\\\ \\text{1 gallon}\\phantom{\\rule{0.2em}{0ex}}\\text{(gal)}\\hfill &amp; =\\hfill &amp; \\text{4 quarts}\\phantom{\\rule{0.2em}{0ex}}\\text{(qt.)}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 297.906px;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{ccc}\\mathbf{\\text{Weight}}\\hfill &amp; &amp; \\begin{array}{ccc}\\text{1 pound}\\phantom{\\rule{0.2em}{0ex}}\\text{(lb.)}\\hfill &amp; =\\hfill &amp; \\text{16 ounces}\\phantom{\\rule{0.2em}{0ex}}\\text{(oz.)}\\hfill \\\\ \\text{1 ton}\\hfill &amp; =\\hfill &amp; \\text{2000 pounds}\\phantom{\\rule{0.2em}{0ex}}\\text{(lb.)}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\n<td style=\"width: 357.906px;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{ccc}\\mathbf{\\text{Time}}\\hfill &amp; &amp; \\phantom{\\rule{1em}{0ex}}\\begin{array}{ccc}\\text{1 minute}\\phantom{\\rule{0.2em}{0ex}}\\text{(min)}\\hfill &amp; =\\hfill &amp; \\text{60 seconds}\\phantom{\\rule{0.2em}{0ex}}\\text{(sec)}\\hfill \\\\ \\text{1 hour}\\phantom{\\rule{0.2em}{0ex}}\\text{(hr)}\\hfill &amp; =\\hfill &amp; \\text{60 minutes}\\phantom{\\rule{0.2em}{0ex}}\\text{(min)}\\hfill \\\\ \\text{1 day}\\hfill &amp; =\\hfill &amp; \\text{24 hours}\\phantom{\\rule{0.2em}{0ex}}\\text{(hr)}\\hfill \\\\ \\text{1 week}\\phantom{\\rule{0.2em}{0ex}}\\text{(wk)}\\hfill &amp; =\\hfill &amp; \\text{7 days}\\hfill \\\\ \\text{1 year}\\phantom{\\rule{0.2em}{0ex}}\\text{(yr)}\\hfill &amp; =\\hfill &amp; \\text{365 days}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170654047456\">In many real-life applications, we need to convert between units of measurement, such as feet and yards, minutes and seconds, quarts and gallons, etc. We will use the identity property of multiplication to do these conversions. We\u2019ll restate the identity property of multiplication here for easy reference.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Identity Property of Multiplication<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nFor any real number \\(a\\):\n\n\\(a\\cdot1=a\\)\n\n\\(1\\cdot a=a\\)\n\n1 is the <strong>multiplicative identity<\/strong>.\n\n<\/div>\n<\/div>\n<p id=\"fs-id1170653791367\">To use the identity property of multiplication, we write 1 in a form that will help us convert the units. For example, suppose we want to change inches to feet. We know that 1 foot is equal to 12 inches, so we will write 1 as the fraction \\(\\dfrac{1\\text{ foot}}{12\\text{ inches}}\\). When we multiply by this fraction we do not change the value, but just change the units.<\/p>\n<p id=\"fs-id1170653875590\">But \\(\\dfrac{12\\text{ inches}}{1\\text{ foot}}\\) also equals 1. How do we decide whether to multiply by \\(\\dfrac{1\\text{ foot}}{12\\text{ inches}}\\) or \\(\\dfrac{12\\text{ inches}}{1\\text{ foot}}\\)? We choose the fraction that will make the units we want to convert <em data-effect=\"italics\">from<\/em> divide out. Treat the unit words like <span class=\"no-emphasis\" data-type=\"term\">factors<\/span> and \u201cdivide out\u201d common units like we do common factors. If we want to convert \\(66\\) inches to feet, which multiplication will eliminate the inches?<\/p>\n<span id=\"fs-id1170653895402\" data-type=\"media\" data-alt=\"Two expressions are given: 66 inches times the fraction (1 foot) over (12 inches), and 66 inches times the fraction (12 inches) over (1 foot). This second expression is crossed out. Below this, it is stated that \u201cThe first form works since 66 inches times the fraction (1 foot) over (12 inches), with inches crossed off in both instances.\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2020\/08\/CNX_ElemAlg_Figure_01_10_016_img_new.jpg\" alt=\"Two expressions are given: 66 inches times the fraction (1 foot) over (12 inches), and 66 inches times the fraction (12 inches) over (1 foot). This second expression is crossed out. Below this, it is stated that \u201cThe first form works since 66 inches times the fraction (1 foot) over (12 inches), with inches crossed off in both instances.\" data-media-type=\"image\/jpeg\"><\/span>\n<p id=\"fs-id1170653851306\">The inches divide out and leave only feet. The second form does not have any units that will divide out and so will not help us.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653749262\" data-type=\"exercise\">\n<div id=\"fs-id1170652619424\" data-type=\"problem\">\n\nMaryAnne is 66 inches tall. Convert her height into feet.\n\n<\/div>\n<div id=\"fs-id1170653806518\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<span id=\"fs-id1170654071984\" data-type=\"media\" data-alt=\"A table is given with three columns. In the first column are directions. The second column has exposition, and the third column has the mathematical steps. In the first row, the direction is \u201cStep 1. Multiply the measurement to be converted by; write as a fraction relating the units given and the units needed.\u201d The exposition is \u201cMultiply inches by, writing as a fraction relating inches and feet. We need inches in the denominator so that the inches will divide out!\u201d The mathematical step is 66 inches times the fraction (1 foot) over (12 inches).\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_017a_img_new.jpg\" alt=\"A table is given with three columns. In the first column are directions. The second column has exposition, and the third column has the mathematical steps. In the first row, the direction is \u201cStep 1. Multiply the measurement to be converted by; write as a fraction relating the units given and the units needed.\u201d The exposition is \u201cMultiply inches by, writing as a fraction relating inches and feet. We need inches in the denominator so that the inches will divide out!\u201d The mathematical step is 66 inches times the fraction (1 foot) over (12 inches).\" data-media-type=\"image\/jpeg\"><\/span><span id=\"fs-id1170654026865\" data-type=\"media\" data-alt=\"In the following row, we have \u201cStep 2. Multiply.\u201d The hint is \u201cThink of 66 inches as the quantity 66 inches divided by 1.\u201d The math portion is the fraction (66 inches times 1 foot) over 12 inches.\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_017b_img_new.jpg\" alt=\"In the following row, we have \u201cStep 2. Multiply.\u201d The hint is \u201cThink of 66 inches as the quantity 66 inches divided by 1.\u201d The math portion is the fraction (66 inches times 1 foot) over 12 inches.\" data-media-type=\"image\/jpeg\"><\/span><span id=\"fs-id1170654030491\" data-type=\"media\" data-alt=\"In the following row, we have \u201cStep 3. Simplify the fraction.\u201d The hint is that \u201cNotice: inches divide out.\u201d We obtain 66 feet divided by 12.\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_017c_img_new.jpg\" alt=\"In the following row, we have \u201cStep 3. Simplify the fraction.\u201d The hint is that \u201cNotice: inches divide out.\u201d We obtain 66 feet divided by 12.\" data-media-type=\"image\/jpeg\"><\/span><span id=\"fs-id1170653797102\" data-type=\"media\" data-alt=\"Then the last step is \u201cStep 4. Simplify.\u201d The hint is \u201cDivide 66 by 12.\u201d Hence, our final mathematical statement is 5.5 feet.\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_017d_img_new.jpg\" alt=\"Then the last step is \u201cStep 4. Simplify.\u201d The hint is \u201cDivide 66 by 12.\u201d Hence, our final mathematical statement is 5.5 feet.\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<\/div>\n&nbsp;\n\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653845964\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1170654069080\" data-type=\"problem\">\n<p id=\"fs-id1170654235450\">Lexie is 30 inches tall. Convert her height to feet.<\/p>\n\n<\/div>\n<div id=\"fs-id1170654202421\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653768687\">2.5 feet<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654075151\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654037129\" data-type=\"exercise\">\n<div data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170654012903\">Rene bought a hose that is 18 yards long. Convert the length to feet.<\/p>\n\n<\/div>\n<div id=\"fs-id1170654030911\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653849545\">54 feet<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Make unit conversions<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ol>\n \t<li>Multiply the measurement to be converted by 1; write 1 as a fraction relating the units given and the units needed.<\/li>\n \t<li>Multiply.<\/li>\n \t<li>Simplify the fraction.<\/li>\n \t<li>Simplify.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653814859\">When we use the identity property of multiplication to convert units, we need to make sure the units we want to change from will divide out. Usually this means we want the conversion fraction to have those units in the denominator.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654016452\" data-type=\"problem\">\n<p id=\"fs-id1170654237975\">A female orca in the Salish Sea weighs almost 3.2 tons. Convert her weight to pounds.<\/p>\n\n<\/div>\n&nbsp;\n<div id=\"fs-id1170654026793\" data-type=\"solution\">\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654284514\">We will convert 3.2 tons into pounds. We will use the identity property of multiplication, writing 1 as the fraction \\(\\dfrac{2000\\text{ pounds}}{1\\text{ ton}}\\).<\/p>\n\n<table id=\"eip-id1169750866374\" class=\"unnumbered unstyled\" summary=\"A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cMultiply the measurement to be converted by.\u201d To the right of this we have 3.2 tons, and below that we have 3.2 tons times 1. In the following row, we have \u201cWrite 1 as a fraction relating tons and pounds.\u201d The math portion is 3.2 tons times the fraction (2,000 pounds) over 1 ton. In the following row, we have \u201cSimplify.\u201d To the right of this we have the fraction (3.2 tons times 2,000 pounds) over (1 ton), with the words tons and ton crossed out. The final step is \u201cMultiply.\u201d And the final mathematical statement is 6,400 pounds. Hence, Ndula weighs almost 6,400 pounds.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">\\(\\text{3.2 tons}\\)<\/td>\n<\/tr>\n<tr>\n<td>Multiply the measurement to be converted, by 1.<\/td>\n<td data-align=\"center\">\\(\\text{3.2 tons}\\cdot 1\\)<\/td>\n<\/tr>\n<tr>\n<td>Write 1 as a fraction relating tons and pounds.<\/td>\n<td data-align=\"center\">\\(\\text{3.2 tons}\\cdot \\dfrac{\\text{2,000 pounds}}{\\text{1 ton}}\\)<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1169750866446\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_018_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\">\\(\\text{6,400 pounds}\\)<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td data-align=\"center\">The female orca weighs almost 6,400 pounds.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653805697\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653875525\" data-type=\"exercise\">\n<div id=\"fs-id1170653909784\" data-type=\"problem\">\n<p id=\"fs-id1170653894637\">Arnold\u2019s SUV weighs about 4.3 tons. Convert the weight to pounds.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653832701\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653906365\" data-type=\"exercise\">\n<div id=\"fs-id1170653737164\" data-type=\"problem\"><\/div>\n<div id=\"fs-id1170654031734\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653905491\">8,600 pounds<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653737164\" data-type=\"problem\">\n\nThe Carnival <em data-effect=\"italics\">Destiny<\/em> cruise ship weighs 51,000 tons. Convert the weight to pounds.\n\n<\/div>\n<div id=\"fs-id1170654031734\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653905491\">102,000,000 pounds<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653892484\">Sometimes, to convert from one unit to another, we may need to use several other units in between, so we will need to multiply several fractions.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654078868\" data-type=\"problem\">\n<p id=\"fs-id1170653906724\">Juliet is going with her family to their summer home. She will be away from her boyfriend for 9 weeks. Convert the time to minutes.<\/p>\n<strong>Solution<\/strong>\nTo convert weeks into minutes we will convert weeks into days, days into hours, and then hours into minutes. To do this we will multiply by conversion factors of 1.\n<table id=\"eip-id1169753123087\" class=\"unnumbered unstyled\" summary=\"We are given the quantity 9 weeks. A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cWrite 1 as 7 days over 1 week, 24 hours over 1 day, and 60 minutes over 1 hour.\u201d To the right of this we have (9 weeks over 1) times (7 days over 1 week) times (24 hours over 1 day) times (60 minutes over 1 hour). In the following row, we have \u201cCancel common units.\u201d The math portion is again (9 weeks over 1) times (7 days over 1 week) times (24 hours over 1 day) times (60 minutes over 1 hour), but with the weeks, days, and hours cancelled. In the following row, we have \u201cMultiply.\u201d To the right of this we have the fraction (9 times 7 times 24 times 60 minutes) over (1 times 1 times 1 times 1). The final step is \u201cSimplify.\u201d And the final mathematical statement is 90,720 minutes.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">9 weeks<\/td>\n<\/tr>\n<tr>\n<td>Write 1 as \\(\\frac{\\text{7 days}}{\\text{1 week}}\\), \\(\\frac{\\text{24 hours}}{\\text{1 day}}\\), and \\(\\frac{\\text{60 minutes}}{\\text{1 hour}}\\).<\/td>\n<td data-align=\"center\">\\(\\dfrac{\\text{9 wk}}{1}\\cdot \\dfrac{\\text{7 days}}{\\text{1 wk}}\\cdot \\dfrac{\\text{24 hr}}{\\text{1 day}}\\cdot \\dfrac{\\text{60 min}}{\\text{1 hr}}\\)<\/td>\n<\/tr>\n<tr>\n<td data-align=\"left\">Divide out the common units.<\/td>\n<td data-align=\"center\">\\(\\dfrac{\\text{9 \\cancel{ wk}}}{1}\\cdot \\dfrac{\\text{7\\cancel{ days}}}{\\text{1\\cancel{ wk}}}\\cdot \\dfrac{\\text{24 \\cancel{hr}}}{\\text{1\\cancel{ day}}}\\cdot \\dfrac{\\text{60 min}}{\\text{1 \\cancel{hr}}}\\)<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\">\\(\\dfrac{9\\cdot 7\\cdot 24\\cdot \\text{60 min}}{1\\cdot 1\\cdot 1\\cdot 1}\\)<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\">\\(\\text{90,720 min}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170654066877\">Juliet and her boyfriend will be apart for 90,720 minutes (although it may seem like an eternity!).<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654190201\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653913514\" data-type=\"exercise\">\n<div id=\"fs-id1170654026286\" data-type=\"problem\">\n<p id=\"fs-id1170654010958\">The distance between the earth and the moon is about 250,000 miles. Convert this length to yards.<\/p>\n\n<\/div>\n<div data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170654026042\">440,000,000 yards<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653791122\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653899856\" data-type=\"exercise\">\n<div data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653923366\">The astronauts of Expedition 28 on the International Space Station spend 15 weeks in space. Convert the time to minutes.<\/p>\n\n<\/div>\n<div id=\"fs-id1170654037785\" data-type=\"solution\"><details><summary>Show answer<\/summary>151,200 minutes\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654190201\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653913514\" data-type=\"exercise\">\n<div id=\"fs-id1170654026286\" data-type=\"problem\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653889570\" data-type=\"problem\">\n<p id=\"fs-id1170653915966\">How many ounces are in 1 gallon?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653868720\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654027574\">We will convert gallons to ounces by multiplying by several conversion factors. Refer to the <a class=\"autogenerated-content\" href=\"#fs-id1170654027716\">table on Imperial Systems of Measurement<\/a>.<\/p>\n\n<table id=\"eip-id1169754171774\" class=\"unnumbered unstyled\" summary=\"We are given the quantity 1 gallon. A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cMultiply the measurement to be converted by 1.\u201d To the right of this we have (1 gallon over 1) times (4 quarts over 1 gallon) times (2 pints over 1 quart) times (2 cups over 1 pint) times (8 ounces over 1 cup). In the following row, we have \u201cUse conversion factors to get to the right unit and simplify.\u201d The math portion is again (1 gallon over 1) times (4 quarts over 1 gallon) times (2 pints over 1 quart) times (2 cups over 1 pint) times (8 ounces over 1 cup), but with the gallons, quarts, pints, and cups cancelled. In the following row, we have \u201cMultiply.\u201d To the right of this we have the fraction (1 times 4 times 2 times 2 times 8 ounces) over (1 times 1 times 1 times 1 times 1). The final step is \u201cSimplify.\u201d And the final mathematical statement is 128 ounces. There are 128 ounces in a gallon.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">1 gallon<\/td>\n<\/tr>\n<tr>\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td data-align=\"center\">\\(\\dfrac{\\text{1 gallon}}{1}\\cdot \\dfrac{\\text{4 quarts}}{\\text{1 gallon}}\\cdot \\dfrac{\\text{2 pints}}{\\text{1 quart}}\\cdot \\dfrac{\\text{2 cups}}{\\text{1 pint}}\\cdot \\dfrac{\\text{8 ounces}}{\\text{1 cup}}\\)<\/td>\n<\/tr>\n<tr>\n<td data-align=\"left\">Use conversion factors to get to the right unit.\nSimplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1169750758852\" data-type=\"media\" data-alt=\".\"><span id=\"eip-id1169753123179\" data-type=\"media\" data-alt=\".\">\\(\\dfrac{\\text{1\\cancel{ gallon}}}{1}\\cdot \\dfrac{\\text{4\\cancel{ quarts}}}{\\text{1\\cancel{ gallon}}}\\cdot \\dfrac{\\text{2 \\cancel{pints}}}{\\text{1 \\cancel{quart}}}\\cdot \\dfrac{\\text{2 \\cancel{cups}}}{\\text{1 \\cancel{pint}}}\\cdot \\dfrac{\\text{8 ounces}}{\\text{1 \\cancel{cup}}}\\)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\">\\(\\dfrac{1\\cdot 4\\cdot 2\\cdot 2\\cdot \\text{8 ounces}}{1\\cdot 1\\cdot 1\\cdot 1\\cdot 1}\\)<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\">\\(\\text{128 ounces}\\)\nThere are 128 ounces in a gallon.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653791122\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653899856\" data-type=\"exercise\">\n<div id=\"fs-id1170654037785\" data-type=\"solution\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653773881\" data-type=\"exercise\">\n<div id=\"fs-id1170653904288\" data-type=\"problem\">\n<p id=\"fs-id1170653886975\">How many cups are in 1 gallon?<\/p>\n\n<\/div>\n<div id=\"fs-id1170654026872\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170654060119\">16 cups<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653773259\" data-type=\"problem\">\n<p id=\"fs-id1170653890266\">How many teaspoons are in 1 cup?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653753162\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653834434\">48 teaspoons<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Use Mixed Units of Measurement in the Imperial System<\/h1>\n<p id=\"fs-id1170654192559\">We often use mixed units of measurement in everyday situations. Suppose Joe is 5 feet 10 inches tall, stays at work for 7 hours and 45 minutes, and then eats a 1 pound 2 ounce steak for dinner\u2014all these measurements have mixed units.<\/p>\nPerforming arithmetic operations on measurements with mixed units of measures requires care. Be sure to add or subtract like units!\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654014673\" data-type=\"problem\">\n<p id=\"fs-id1170653741175\">Seymour bought three steaks for a barbecue. Their weights were 14 ounces; 1 pound, 2 ounces; and 1 pound, 6 ounces. How many total pounds of steak did he buy?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653795707\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170653762858\">We will add the weights of the steaks to find the total weight of the steaks.<\/p>\n\n<table id=\"eip-id1169750704484\" style=\"width: 100%;\" summary=\"We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cAdd the ounces. Then add the pounds.\u201d To the right, we have a summation of 14 ounces, 1 pound 2 ounces, and 1 pound 6 ounces, with the ounces lined up and the pounds lined up. The result is 2 pounds 22 ounces. On the next line, we are told to \u201cConvert 22 ounces to pounds and ounces.\u201d And below that we are told to add the pounds. To the right we have 2 pounds plus 1 pound, 6 ounces, which gives 3 pounds, 6 ounces. Seymour bought 3 pounds and 6 ounces of steak.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Add the ounces. Then add the pounds.<\/td>\n<td><img class=\"wp-image-405 alignleft\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/steak.jpg\" alt=\"\" width=\"200\" height=\"117\"><\/td>\n<\/tr>\n<tr>\n<td>Convert 22 ounces to pounds and ounces.<\/td>\n<td>1 pound, 6 ounces<\/td>\n<\/tr>\n<tr>\n<td>Add the pounds and ounces.<\/td>\n<td>2 pounds + 1 pound + 6 ounces<\/td>\n<\/tr>\n<tr>\n<td>Answer<\/td>\n<td>Seymour bought 3 pounds 6 ounces of steak.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653867884\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654034426\" data-type=\"exercise\">\n<div data-type=\"problem\">\n\nLaura gave birth to triplets weighing 3 pounds 3 ounces, 3 pounds 3 ounces, and 2 pounds 9 ounces. What was the total birth weight of the three babies?\n\n<\/div>\n<div data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653832216\">9 lbs. 8 oz<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654127576\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653758700\" data-type=\"exercise\">\n<div id=\"fs-id1170653900357\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653900357\" data-type=\"problem\">\n<p id=\"fs-id1170653894981\">Stan cut two pieces of crown molding for his family room that were 8 feet 7 inches and 12 feet 11 inches. What was the total length of the molding?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653775359\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653860902\">21 ft. 6 in.<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653908540\" data-type=\"problem\">\n<p id=\"fs-id1170654008782\">Anthony bought four planks of wood that were each 6 feet 4 inches long. What is the total length of the wood he purchased?<\/p>\n\n<\/div>\n<div id=\"fs-id1170652622776\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170653833248\">We will multiply the length of one plank to find the total length.<\/p>\n\n<table id=\"eip-id1169750705411\" style=\"width: 100%;\" summary=\"We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the inches and then the feet.\u201d To the right, we have a multiplication set up with 6 feet 4 inches being multiplied by 4. There is a long horizontal line below the 4, and below that is the quantity 24 feet 16 inches. On the next line, we are told to \u201cConvert the 16 inches to feet.\u201d Below that, we are told to \u201cAdd the feet.\u201d To the right, we have 24 feet plus 1 foot 4 inches. Hence, Anthony bought 25 feet and 4 inches of wood.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Multiply the inches and then the feet.<\/td>\n<td><span id=\"eip-id1169750705429\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_015a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert the 16 inches to feet.\nAdd the feet.<\/td>\n<td><span id=\"eip-id1169750705447\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_015b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Anthony bought 25 feet and 4 inches of wood.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654127576\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653758700\" data-type=\"exercise\">\n<div id=\"fs-id1170653775359\" data-type=\"solution\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654067973\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1170653913548\" data-type=\"problem\">\n\nHenri wants to triple his vegan spaghetti sauce recipe that uses 1 pound 8 ounces of black beans. How many pounds of black beans will he need?\n\n<\/div>\n<div data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653815807\">4 lbs. 8 oz.<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653896355\" data-type=\"problem\">\n<p id=\"fs-id1170653903490\">Joellen wants to double a solution of 5 gallons 3 quarts. How many gallons of solution will she have in all?<\/p>\n\n<\/div>\n<div id=\"fs-id1170654246112\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170654069199\">11 gallons 2 qt.<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Make Unit Conversions in the Metric System<\/h1>\n<p id=\"fs-id1170653741424\">In the metric system, units are related by powers of 10. The roots words of their names reflect this relation. For example, the basic unit for measuring length is a metre. One kilometre is 1,000 metres; the prefix <em data-effect=\"italics\">kilo<\/em> means <em data-effect=\"italics\">thousand<\/em>. One centimetre is \\(\\dfrac{1}{100}\\) of a metre, just like one cent is \\(\\dfrac{1}{100}\\) of one dollar.<\/p>\n<p id=\"fs-id1170652648089\">The equivalencies of measurements in the metric system are shown in the table below. The common abbreviations for each measurement are given in parentheses.<\/p>\n\n<table class=\"grid\" style=\"border-collapse: collapse; width: 100%;\" border=\"0\"><caption>Metric System of Measurement<\/caption>\n<tbody>\n<tr>\n<th style=\"width: 33.3333%;\" scope=\"col\">Length<\/th>\n<th style=\"width: 33.3333%;\" scope=\"col\">Mass<\/th>\n<th style=\"width: 33.3333%;\" scope=\"col\">Capacity<\/th>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 kilometre (km) = 1,000 m\n\n1 hectometre (hm) = 100 m\n\n1 dekametre (dam) = 10 m\n\n1 metre (m) = 1 m\n\n1 decimetre (dm) = 0.1 m\n\n1 centimetre (cm) = 0.01 m\n\n1 millimetre (mm) = 0.001 m<\/td>\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 kilogram (kg) = 1,000 g\n\n1 hectogram (hg) = 100 g\n\n1 dekagram (dag) = 10 g\n\n1 gram (g) = 1 g\n\n1 decigram (dg) = 0.1 g\n\n1 centigram (cg) = 0.01 g\n\n1 milligram (mg) = 0.001 g<\/td>\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 kilolitre (kL) = 1,000 L\n\n1 hectolitre (hL) = 100 L\n\n1 dekalitre (daL) = 10 L\n\n1 litre (L) = 1 L\n\n1 decilitre (dL) = 0.1 L\n\n1 centilitre (cL) = 0.01 L\n\n1 millilitre (mL) = 0.001 L<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 metre = 100 centimetres\n\n1 metre = 1,000 millimetres<\/td>\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 gram = 100 centigrams\n\n1 gram = 1,000 milligrams<\/td>\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 litre = 100 centilitre s\n\n1 litre = 1,000 millilitre s<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653833801\">To make conversions in the metric system, we will use the same technique we did in the Imperial system. Using the identity property of multiplication, we will multiply by a conversion factor of one to get to the correct units.<\/p>\n<p id=\"fs-id1170654013407\">Have you ever run a 5K or 10K race? The length of those races are measured in kilometres. The metric system is commonly used in Canada when talking about the length of a race.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653832767\">Nick ran a 10K race. How many metres did he run?<\/p>\n\n<\/div>\n<div id=\"fs-id1170654176791\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\nWe will convert kilometres to metres using the identity property of multiplication.\n<table id=\"eip-id1169752203306\" class=\"unnumbered unstyled\" summary=\"We have the quantity 10 kilometres. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the measurement to be converted by 1.\u201d To the right, we have 10 km times 1. On the next line, we are told to \u201cWrite 1 as a fraction relating kilometres and metres.\u201d To the right, we have 10 km times the fraction 1000 metres over 1 kilometre. Below that, we are told to \u201cSimplify.\u201d To the right, we have the fraction (10 km times 1000 metres) over 1 kilometre, but the kilometre units are crossed off. Finally, our last instruction is to \u201cMultiply.\u201d Hence, we obtain 10,000 m.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">10 kilometres<\/td>\n<\/tr>\n<tr>\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td><span id=\"eip-id1169752203335\" data-type=\"media\" data-alt=\".\">10 kilometres \u00d7 1<\/span><\/td>\n<\/tr>\n<tr>\n<td>Write 1 as a fraction relating kilometres and metres.<\/td>\n<td>\\(10\\text{ kilometres}\\times\\dfrac{1,000\\text{ metres}}{1\\text{ kilometres}}\\)<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1169752202952\" data-type=\"media\" data-alt=\".\">\\(10\\text{ \\cancel{kilometres}}\\times\\dfrac{1,000\\text{ metres}}{1\\text{ \\cancel{kilometres}}}\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>10,000 metres<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Nick ran 10,000 metres.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653895512\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654232032\" data-type=\"exercise\">\n<div id=\"fs-id1170653924000\" data-type=\"problem\">\n<p id=\"fs-id1170653790645\">Sandy completed her first 5K race! How many metres did she run?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653761027\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170654027507\">5,000 metres<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653774088\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653838422\" data-type=\"exercise\">\n<div id=\"fs-id1170653741057\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653741057\" data-type=\"problem\">\n<p id=\"fs-id1170653985161\">Herman bought a rug 2.5 metres in length. How many centimetres is the length?<\/p>\n\n<\/div>\n<div id=\"fs-id1170654016694\" data-type=\"solution\"><details><summary>Show answer<\/summary>250 centimetres\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653774088\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653838422\" data-type=\"exercise\">\n<div id=\"fs-id1170654016694\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 8<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654203077\" data-type=\"problem\">\n<p id=\"fs-id1170653870855\">Eleanor\u2019s newborn baby weighed 3,200 grams. How many kilograms did the baby weigh?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653834770\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654016052\">We will convert grams into kilograms.<\/p>\n\n<table id=\"eip-id1169750760364\" class=\"unnumbered unstyled\" style=\"height: 158px;\" summary=\"We have the quantity 3200 grams. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the measurement to be converted by 1.\u201d To the right, we have 3200 g times 1. On the next line, we are told to \u201cWrite 1 as a fraction relating kilograms and grams.\u201d To the right, we have 3200 g times the fraction 1 kg over 1000 g. Below that, we are told to \u201cSimplify.\u201d To the right, we again have 3200 g times the fraction 1 kg over 1000 g, but the gram units are crossed off. Our next instruction is to \u201cMultiply.\u201d To the right we have 3200 kilograms over 1000. Finally, our last instruction is to \u201cDivide.\u201d Hence, we obtain 3.2 kilograms.\" data-label=\"\">\n<tbody>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 359.406px;\"><\/td>\n<td style=\"height: 18px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760384\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_004a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td style=\"height: 18px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760403\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_004b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr style=\"height: 39px;\">\n<td>Write 1 as a function relating kilograms and grams.<\/td>\n<td style=\"height: 39px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760421\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_004c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr style=\"height: 39px;\">\n<td style=\"height: 39px; width: 359.406px;\">Simplify.<\/td>\n<td style=\"height: 39px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760440\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_004d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 359.406px;\">Multiply.<\/td>\n<td style=\"height: 14px; width: 290.406px;\" data-align=\"center\">\\(\\dfrac{\\text{3,200 kilograms}}{1,000}\\)<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"height: 30px; width: 359.406px;\">Divide.<\/td>\n<td style=\"height: 30px; width: 290.406px;\" data-align=\"center\">3.2 kilograms\nThe baby weighed 3.2 kilograms.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654235809\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653898632\" data-type=\"exercise\">\n<div id=\"fs-id1170653881980\" data-type=\"problem\">\n<p id=\"fs-id1170654047447\">Kari\u2019s newborn baby weighed 2,800 grams. How many kilograms did the baby weigh?<\/p>\n\n<\/div>\n<div id=\"fs-id1170654012324\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653907924\">2.8 kilograms<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654015378\" data-type=\"problem\">\n<p id=\"fs-id1170653903912\">Anderson received a package that was marked 4,500 grams. How many kilograms did this package weigh?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653791953\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170654215841\">4.5 kilograms<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653850159\">As you become familiar with the metric system you may see a pattern. Since the system is based on multiples of ten, the calculations involve multiplying by multiples of ten. We have learned how to simplify these calculations by just moving the decimal.<\/p>\nTo multiply by 10, 100, or 1,000, we move the decimal to the right one, two, or three places, respectively. To multiply by 0.1, 0.01, or 0.001, we move the decimal to the left one, two, or three places, respectively.\n<p id=\"fs-id1170653792025\">We can apply this pattern when we make measurement conversions in the metric system. In Example 8, we changed 3,200 grams to kilograms by multiplying by \\(\\dfrac{1}{1000}\\) (or 0.001). This is the same as moving the decimal three places to the left.<\/p>\n\n\n[caption id=\"\" align=\"aligncenter\" width=\"272\"]<img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_005_img_new.jpg\" alt=\"We have the statement 3200 g times the fraction 1 kg over 1000 g, with the g\u2019s crossed out. Below this, we have 3.2. We also have the statement 3200 times 1\/1000, with an arrow drawn from the right of the final 0 in 3200 to the space between the 0\u2019s, to the space between the 2 and the 0, and then to the space between the 3 and the 2. Below this, we have 3.2.\" width=\"272\" height=\"95\" data-media-type=\"image\/jpeg\"> Figure.1[\/caption]\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 9<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653912013\" data-type=\"problem\">\n<p id=\"fs-id1170653741035\">Convert a) 350 L to kilolitres b) 4.1 L to millilitre s.<\/p>\n\n<\/div>\n<div id=\"fs-id1170654080821\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<ol id=\"fs-id1166422551215\" class=\"circled\" type=\"a\">\n \t<li>We will convert litres to kilolitres. In the <a class=\"autogenerated-content\" href=\"#fs-id1170653789448\">Metric System of Measurement<\/a> table, we see that \\(1\\phantom{\\rule{0.2em}{0ex}}\\text{kilolitre}=\\text{1,000 litres.}\\)\n<table id=\"eip-id1169754143940\" class=\"unnumbered unstyled can-break\" style=\"height: 187px;\" summary=\"We have the quantity 350 L. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply by 1, writing 1 as a fraction relating litres to kilolitres.\u201d To the right, we have 350 L times the fraction 1 kL over 1000 L. On the next line, we are told to \u201cSimplify.\u201d To the right, we have we have 350 L times the fraction 1 kL over 1000 L, with the L\u2019s crossed out and an arrow drawn from the right of the final 0 in 350 to the space between the 5 and the 0, to the space between the 3 and the 5, and finally to the space to the left of the 3. Below that, we are told to \u201cMove the decimal 3 units to the left. (350.)\u201d where there is an arrow drawn from the decimal place in 350. to the space between the 5 and the 0, to the space between the 3 and the 5, and finally to the space to the left of the 3. To the right, we have 0.35 kL.\" data-label=\"\">\n<tbody>\n<tr style=\"height: 16px;\">\n<td style=\"height: 16px; width: 269.717px;\"><\/td>\n<td style=\"height: 16px; width: 297.95px;\">\\(\\text{350 L}\\)<\/td>\n<\/tr>\n<tr style=\"height: 33px;\">\n<td style=\"height: 33px; width: 269.717px;\">Multiply by 1, writing 1 as a fraction relating litres to kilolitres.<\/td>\n<td style=\"height: 33px; width: 297.95px;\">\\(\\text{350 L}\\cdot \\dfrac{\\text{1 kL}}{\\text{1,000 L}}\\)<\/td>\n<\/tr>\n<tr style=\"height: 33px;\">\n<td style=\"height: 33px; width: 269.717px;\">Simplify.<\/td>\n<td style=\"height: 33px; width: 297.95px;\">\\(350\\cancel{\\text{L}}\\cdot \\dfrac{\\text{1 kL}}{1,000\\cancel{\\text{L}}}\\)<\/td>\n<\/tr>\n<tr style=\"height: 105px;\">\n<td style=\"height: 105px; width: 269.717px;\"><span id=\"eip-id1169754197015\" data-type=\"media\" data-alt=\".\">Move the decimal 3 units to the left.<\/span><\/td>\n<td style=\"height: 105px; width: 297.95px;\">\\(\\text{0.35 kL}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n \t<li>We will convert litres to millilitre s. From <a class=\"autogenerated-content\" href=\"#fs-id1170653789448\">Metric System of Measurement<\/a> table we see that \\(\\text{1 litre}=\\text{1,000 millilitre s.}\\)\n<table id=\"eip-id1169748340002\" class=\"unnumbered unstyled can-break\" summary=\"We have the quantity 4.1 L. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply by 1, writing 1 as a fraction relating litres to millilitre s.\u201d To the right, we have 4.1 L times the fraction 1000 mL over 1 L. On the next line, we are told to \u201cSimplify.\u201d To the right, we have we have 4.1 L times the fraction 1000 mL over 1 L, with the L\u2019s crossed out. Below that, we are told to \u201cMove the decimal 3 units to the right.\u201d To the right of this, we have 4.100 mL where there is an arrow drawn from the decimal place in 4.100 to the space between the 1 and the 0, to the space between the 0\u2019s, and finally to the space to the right of the final 0. Below this, we have 4100 mL.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1169748340021\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply by 1, writing 1 as a fraction relating litres to millilitre s.<\/td>\n<td><span id=\"eip-id1169748340038\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1169748340054\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Move the decimal 3 units to the right.<\/td>\n<td><span id=\"eip-id1169748340071\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1169748340087\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653833635\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653934363\" data-type=\"exercise\">\n<div id=\"fs-id1170653743925\" data-type=\"problem\">\n<p id=\"fs-id1170653832489\">Convert: a) 725 L to kilolitres b) 6.3 L to millilitre s<\/p>\n\n<\/div>\n<div id=\"fs-id1170653924052\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170654013885\">a) 7,250 kilolitres b) 6,300 millilitre s<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653887890\" data-type=\"problem\">\n<p id=\"fs-id1170653905800\">Convert: a) 350 hL to litres b) 4.1 L to centilitre s<\/p>\n\n<\/div>\n<div id=\"fs-id1170653888910\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170654022506\">a) 35,000 litres b) 410 centilitre s<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Use Mixed Units of Measurement in the Imperial System<\/h1>\n<p id=\"fs-id1170654035773\">Performing arithmetic operations on measurements with mixed units of measures in the imperial system requires the same care we used in the Canadian system. Make sure to add or subtract like units.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 10<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654068967\" data-type=\"problem\">\n<p id=\"fs-id1170653832101\">Ryland is 1.6 metres tall. His younger brother is 85 centimetres tall. How much taller is Ryland than his younger brother?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653737171\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654150871\">We can convert both measurements to either centimetres or metres. Since metres is the larger unit, we will subtract the lengths in metres. We convert 85 centimetres to metres by moving the decimal 2 places to the left.<\/p>\n\n<table id=\"eip-765\" summary=\".\">\n<tbody>\n<tr>\n<td>Write the 85 centimetres as metres.<\/td>\n<td>\\(\\begin{array}{r}1.60\\text{m}\\\\ \\underline{-0.85\\text{m}} \\\\ 0.75\\text{m}\\hfill \\end{array}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653869873\">Ryland is 0.75 m taller than his brother.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653890431\" data-type=\"exercise\">\n<div id=\"fs-id1170653753016\" data-type=\"problem\">\n<p id=\"fs-id1170654030763\">Mariella is 1.58 metres tall. Her daughter is 75 centimetres tall. How much taller is Mariella than her daughter? Write the answer in centimetres.<\/p>\n\n<\/div>\n<div id=\"fs-id1170653769757\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170653903354\">83 centimetres<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653930864\">The fence around Hank\u2019s yard is 2 metres high. Hank is 96 centimetres tall. How much shorter than the fence is Hank? Write the answer in metres.<\/p>\n\n<\/div>\n<div id=\"fs-id1170653889337\" data-type=\"solution\"><details><summary>Show answer<\/summary>1.04 metres\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653902329\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654075164\" data-type=\"exercise\">\n<div id=\"fs-id1170653889337\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 11<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653740148\">Dena\u2019s recipe for lentil soup calls for 150 millilitre s of olive oil. Dena wants to triple the recipe. How many litres of olive oil will she need?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653769748\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\nWe will find the amount of olive oil in millileters then convert to litres.\n<table id=\"eip-270\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>Triple 150 mL<\/td>\n<\/tr>\n<tr>\n<td>Translate to algebra.<\/td>\n<td>\\(3 \\cdot 150 \\text{ mL}\\)<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>450 mL<\/td>\n<\/tr>\n<tr>\n<td>Convert to litres.<\/td>\n<td>\\(450\\cdot \\dfrac{0.001\\text{ L}}{1\\text{ mL}}\\)<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>0.45 L<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Dena needs 0.45 litres of olive oil.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nA recipe for Alfredo sauce calls for 250 millilitre s of milk. Renata is making pasta with Alfredo sauce for a big party and needs to multiply the recipe amounts by 8. How many litres of milk will she need?\n<div id=\"fs-id1170653868239\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654242692\" data-type=\"exercise\">\n<div id=\"fs-id1170653915614\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1170654009181\">2 litres<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653834634\" data-type=\"problem\">\n\nTo make one pan of baklava, Dorothea needs 400 grams of filo pastry. If Dorothea plans to make 6 pans of baklava, how many kilograms of filo pastry will she need?\n\n<\/div>\n<div id=\"fs-id1170653791989\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170653902147\">2.4 kilograms<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Convert Between the Imperial and the Metric Systems of Measurement<\/h1>\nMany measurements in Canada are made in metric units. Our soda may come in 2-litre bottles, our calcium may come in 500-mg capsules, and we may run a 5K race. To work easily in both systems, we need to be able to convert between the two systems.\n<p id=\"fs-id1170654236427\">The table below shows some of the most common conversions.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\"><caption>Conversion Factors Between Imperial and Metric Systems<\/caption>\n<tbody>\n<tr valign=\"top\">\n<th style=\"width: 37.3708%;\" data-valign=\"middle\" data-align=\"center\">Length<\/th>\n<th style=\"width: 31.0192%;\" data-valign=\"middle\" data-align=\"center\">Mass<\/th>\n<th style=\"width: 31.4623%;\" data-valign=\"middle\" data-align=\"center\">Capacity<\/th>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 37.3708%;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{c}\\begin{array}{ccc}\\text{1 in.}\\hfill &amp; =\\hfill &amp; \\text{2.54 cm}\\hfill \\\\ \\text{1 ft.}\\hfill &amp; =\\hfill &amp; \\text{0.305 m}\\hfill \\\\ \\text{1 yd.}\\hfill &amp; =\\hfill &amp; \\text{0.914 m}\\hfill \\\\ \\text{1 mi.}\\hfill &amp; =\\hfill &amp; \\text{1.61 km}\\hfill \\\\ \\text{1 m}\\hfill &amp; =\\hfill &amp; \\text{3.28 ft.}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\n<td style=\"width: 31.0192%;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{c}\\begin{array}{ccc}\\text{1 lb.}\\hfill &amp; =\\hfill &amp; \\text{0.45 kg}\\hfill \\\\ \\text{1 oz.}\\hfill &amp; =\\hfill &amp; \\text{28 g}\\hfill \\\\ \\text{1 kg}\\hfill &amp; =\\hfill &amp; \\text{2.2 lb.}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\n<td style=\"width: 31.4623%;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{c}\\begin{array}{ccc}\\text{1 qt.}\\hfill &amp; =\\hfill &amp; \\text{0.95 L}\\hfill \\\\ \\text{1 fl. oz.}\\hfill &amp; =\\hfill &amp; \\text{30 mL}\\hfill \\\\ \\text{1 L}\\hfill &amp; =\\hfill &amp; \\text{1.06 qt.}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653893032\"><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_008\">(Figure.2)<\/a> shows how inches and centimetres are related on a ruler.<\/p>\n\n<div id=\"CNX_ElemAlg_Figure_01_10_008\" class=\"bc-figure figure\">\n\n[caption id=\"\" align=\"aligncenter\" width=\"419\"]<img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_008_img_new.jpg\" alt=\"A ruler with inches and centimetres.\" width=\"419\" height=\"73\" data-media-type=\"image\/jpeg\"> Figure.2[\/caption]\n\n<a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_009\">(Figure.3)<\/a> shows the ounce and millilitre markings on a measuring cup.\n<div id=\"CNX_ElemAlg_Figure_01_10_009\" class=\"bc-figure figure\">\n\n[caption id=\"\" align=\"aligncenter\" width=\"266\"]<img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_009_img_new.jpg\" alt=\"A measuring cup showing millilitre s and ounces.\" width=\"266\" height=\"221\" data-media-type=\"image\/jpeg\"> Figure.3[\/caption]\n<p id=\"fs-id1170653736108\"><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_010\">(Figure.4)<\/a> shows how pounds and kilograms marked on a bathroom scale.<\/p>\n\n<div id=\"CNX_ElemAlg_Figure_01_10_010\" class=\"bc-figure figure\">\n\n[caption id=\"\" align=\"aligncenter\" width=\"527\"]<img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_010_img_new.jpg\" alt=\"We are given an image of a bathroom scale showing pounds.\" width=\"527\" height=\"258\" data-media-type=\"image\/jpeg\"> Figure.4[\/caption]\n<p id=\"fs-id1170653876302\">We make conversions between the systems just as we do within the systems\u2014by multiplying by unit conversion factors.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 12<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653899040\" data-type=\"problem\">\n<p id=\"fs-id1170654149168\">Lee\u2019s water bottle holds 500 mL of water. How many ounces are in the bottle? Round to the nearest tenth of an ounce.<\/p>\n\n<\/div>\n<div id=\"fs-id1170654011769\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-461\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>500 mL<\/td>\n<\/tr>\n<tr>\n<td>Multiply by a unit conversion factor relating mL and ounces.<\/td>\n<td>\\(500\\text{ millilitre s}\\cdot \\dfrac{1\\text{ ounce}}{30\\text{ millilitre s}}\\)<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>\\(\\dfrac{\\text{50 ounce}}{30}\\)<\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>16.7 ounces.<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>The water bottle has 16.7 ounces.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 12.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653771275\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654008678\" data-type=\"exercise\">\n<div id=\"fs-id1170654036019\" data-type=\"problem\">\n<p id=\"fs-id1170653752524\">How many quarts of soda are in a 2-L bottle?<\/p>\n\n<\/div>\n<div id=\"fs-id1170652789213\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170653846740\">2.12 quarts<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 12.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170652928456\" data-type=\"problem\">\n<p id=\"fs-id1170654150165\">How many litres are in 4 quarts of milk?<\/p>\n\n<\/div>\n<div id=\"fs-id1170653889769\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170652665046\">3.8 litres<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170652938147\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170652928454\" data-type=\"exercise\">\n<div id=\"fs-id1170653889769\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 13<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653768884\" data-type=\"problem\">\n<p id=\"fs-id1170653769448\">Soleil was on a road trip and saw a sign that said the next rest stop was in 100 kilometres. How many miles until the next rest stop?<\/p>\n\n<\/div>\n<div id=\"fs-id1170652658229\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-310\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>100 kilometres<\/td>\n<\/tr>\n<tr>\n<td>Multiply by a unit conversion factor relating km and mi.<\/td>\n<td>\\(100\\text{ kilometres}\\cdot \\dfrac{1\\text{ mile}}{1.61\\text{ kilometre}}\\)<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>\\(\\dfrac{\\text{100 miles}}{1.61}\\)<\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>62 ounces.<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Soleil will travel 62 miles.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 13.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653797640\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653871535\" data-type=\"exercise\">\n<div id=\"fs-id1170654053808\" data-type=\"problem\">\n<p id=\"fs-id1170654053811\">The height of Mount Kilimanjaro is 5,895 metres. Convert the height to feet.<\/p>\n\n<\/div>\n<div id=\"fs-id1170654068833\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170654068835\">19,335.6 feet<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 13.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654022158\" data-type=\"problem\">\n<p id=\"fs-id1170654149655\">The flight distance from Toronto to Vancouver is 3,364 kilometres. Convert the distance to miles.<\/p>\n\n<\/div>\n<div id=\"fs-id1170652640987\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170653874813\">2,090 miles<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Convert between Fahrenheit and Celsius Temperatures<\/h1>\n<p id=\"fs-id1170654141793\">Have you ever been in a foreign country and heard the weather forecast? If the forecast is for \\(71\\)\u00b0F what does that mean?<\/p>\n<p id=\"fs-id1170653807898\">The Canadian and imperial systems use different scales to measure temperature. The Canadian system uses degrees\u00a0Celsius, written\u00a0\u00b0C. The imperial system uses degrees\u00a0Fahrenheit, written\u00b0F.\u00a0<a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_011\">(Figure.5)<\/a> shows the relationship between the two systems.<\/p>\n\n<div id=\"CNX_ElemAlg_Figure_01_10_011\" class=\"bc-figure figure\">\n<div class=\"bc-figcaption figcaption\">The diagram shows normal body temperature, along with the freezing and boiling temperatures of water in degrees Fahrenheit and degrees Celsius.<\/div>\n\n[caption id=\"\" align=\"aligncenter\" width=\"363\"]<img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_011_img_new.jpg\" alt=\"Two thermometres are shown, one in Celsius (\u00b0C) and another in Fahrenheit (\u00b0F). They are marked \u201cWater boils\u201d at 100\u00b0C and 212\u00b0F. They are marked \u201cNormal body temperature\u201d at 37\u00b0C and 98.6\u00b0F. They are marked \u201cWater freezes\u201d at 0\u00b0C and 32\u00b0F.\" width=\"363\" height=\"614\" data-media-type=\"image\/jpeg\"> Figure.5[\/caption]\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Temperature Conversion<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1170654200442\">To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula<\/p>\n\\(C=\\dfrac{5}{9}\\left(F-32\\right)\\).\n<p id=\"fs-id1170654230844\">To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula<\/p>\n\\(F=\\dfrac{9}{5}C+32\\).\n\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654115235\" data-type=\"note\">\n<div data-type=\"equation\" data-label=\"\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 14<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653930602\" data-type=\"problem\">\n<p id=\"fs-id1170653930604\">Convert 50\u00b0 Fahrenheit into degrees Celsius.<\/p>\n<strong>Solution<\/strong>\n\n<\/div>\n<div id=\"fs-id1170653755791\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654232177\">We will substitute 50\u00b0F into the formula to find C.<\/p>\n\n<table id=\"eip-id1169749562678\" style=\"width: 100%;\" summary=\"We are given the formula for converting \u00b0F to \u00b0C: C equals 5\/9 times the quantity (F minus 32). On the next line, we are told to \u201cSubstitute 50 for F.\u201d Hence, we obtain C equals 5\/9 times the quantity (50 minus 32). In the next step, we are told to \u201cSimplify in parentheses.\u201d Hence, we obtain C equals 5\/9 times 18. Finally, we are told to \u201cMultiply,\u201d and we obtain C equals 10.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1169752086556\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><span id=\"eip-id1169752086570\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<td><span id=\"eip-id1169752086580\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify in parentheses.<\/td>\n<td><span id=\"eip-id1169752086596\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1169752086613\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>So we found that 50\u00b0F is equivalent to 10\u00b0C.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 14.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654125384\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653772087\" data-type=\"exercise\">\n<div id=\"fs-id1170653772089\" data-type=\"problem\">\n<p id=\"fs-id1170653867974\">Convert the Fahrenheit temperature to degrees Celsius: 59\u00b0 Fahrenheit.<\/p>\n\n<\/div>\n<div id=\"fs-id1170654032787\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170654032789\">15\u00b0C<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654060534\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654239366\" data-type=\"exercise\">\n<div id=\"fs-id1170654239368\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 14.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654239368\" data-type=\"problem\">\n<p id=\"fs-id1170653748922\">Convert the Fahrenheit temperature to degrees Celsius: 41\u00b0 Fahrenheit.<\/p>\n\n<\/div>\n<div id=\"fs-id1170653748995\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170654069280\">5\u00b0C<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654060534\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654239366\" data-type=\"exercise\">\n<div id=\"fs-id1170653748995\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 15<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653798022\" data-type=\"problem\">\n<p id=\"fs-id1170654067027\">While visiting Paris, Woody saw the temperature was 20\u00b0 Celsius. Convert the temperature into degrees Fahrenheit.<\/p>\n<strong>Solution<\/strong>\n\n<\/div>\n<div id=\"fs-id1170653769463\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170653769466\">We will substitute 20\u00b0C into the formula to find F.<\/p>\n\n<table id=\"eip-id1169750701791\" style=\"width: 100%;\" summary=\"We are given the formula for converting \u00b0C to \u00b0F: F equals 9\/5 times C plus 32. On the next line, we are told to \u201cSubstitute 20 for C.\u201d Hence, we obtain that F equals 9\/5 times 20 plus 32. In the next step, we are told to \u201cMultiply.\u201d Hence, we obtain F equals 36 plus 32. Finally, we are told to \u201cAdd,\u201d and we obtain F equals 68.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1169750701810\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><span id=\"eip-id1169750701824\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<td><span id=\"eip-id1169750701834\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1169750701850\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Add.<\/td>\n<td><span id=\"eip-id1169750701867\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>So we found that 20\u00b0C is equivalent to 68\u00b0F.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 15.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653875549\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653875552\" data-type=\"exercise\">\n<div id=\"fs-id1170653791656\" data-type=\"problem\">\n<p id=\"fs-id1170653791658\">Convert the Celsius temperature to degrees Fahrenheit: the temperature in Helsinki, Finland, was 15\u00b0 Celsius.<\/p>\n\n<\/div>\n<div id=\"fs-id1170654237812\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170654238722\">59\u00b0F<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170652620855\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654201794\" data-type=\"exercise\">\n<div id=\"fs-id1170654201796\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 15.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654201796\" data-type=\"problem\">\n<p id=\"fs-id1170654237375\">Convert the Celsius temperature to degrees Fahrenheit: the temperature in Sydney, Australia, was 10\u00b0 Celsius.<\/p>\n\n<\/div>\n<div id=\"fs-id1170653809204\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1170653809207\">50\u00b0 F<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Key Concepts<\/h1>\n<ul id=\"fs-id1170653748210\" data-bullet-style=\"bullet\">\n \t<li><strong data-effect=\"bold\">Metric System of Measurement<\/strong>\n<ul id=\"fs-id1170653893604\" data-bullet-style=\"open-circle\">\n \t<li><strong data-effect=\"bold\">Length<\/strong>\n\\(\\begin{array}{lcl}\\text{1 kilometre (km)} &amp; = &amp; \\text{1,000 m} \\\\ \\text{1 hectometre (hm)} &amp; = &amp; \\text{100 m} \\\\ \\text{1 dekametre (dam)} &amp; = &amp; \\text{10 m} \\\\ \\text{1 metre (m)} &amp; = &amp; \\text{1 m} \\\\ \\text{1 decimetre (dm)} &amp; = &amp; \\text{0.1 m} \\\\ \\text{1 centimetre (cm)} &amp; = &amp; \\text{0.01 m}\\hfill \\\\ \\text{1 millimetre (mm)} &amp; = &amp; \\text{0.001 m} \\\\ \\text{1 metre} &amp; = &amp; \\text{100 centimetres} \\\\ \\text{1 metre} &amp; = &amp; \\text{1,000 millimetres} \\end{array}\\)<\/li>\n \t<li><strong data-effect=\"bold\">Mass<\/strong>\n\\(\\begin{array}{lcl}\\text{1 kilogram (kg)} &amp; = &amp; \\text{1,000 g} \\\\ \\text{1 hectogram (hg)} &amp; = &amp; \\text{100 g} \\\\ \\text{1 dekagram (dag)} &amp; = &amp; \\text{10 g} \\\\ \\text{1 gram (g)} &amp; = &amp; \\text{1 g} \\\\ \\text{1 decigram (dg)} &amp; = &amp; \\text{0.1 g} \\\\ \\text{1 centigram (cg)} &amp; = &amp; \\text{0.01 g} \\\\ \\text{1 milligram (mg)} &amp; = &amp; \\text{0.001 g} \\\\ \\text{1 gram} &amp; = &amp; \\text{100 centigrams} \\\\ \\text{1 gram} &amp; = &amp; \\text{1,000 milligrams} \\end{array}\\)<\/li>\n \t<li><strong data-effect=\"bold\">Capacity<\/strong>\n\\(\\begin{array}{lcl}\\text{1 kilolitre (kL)} &amp; = &amp; \\text{1,000 L} \\\\ \\text{1 hectolitre (hL)} &amp; = &amp; \\text{100 L} \\\\ \\text{1 dekalitre (daL)} &amp; = &amp; \\text{10 L} \\\\ \\text{1 litre (L)} &amp; = &amp; \\text{1 L} \\\\ \\text{1 decilitre (dL)} &amp; = &amp; \\text{0.1 L} \\\\ \\text{1 centilitre (cL)} &amp; = &amp; \\text{0.01 L} \\\\ \\text{1 millilitre (mL)} &amp; = &amp; \\text{0.001 L} \\\\ \\text{1 litre} &amp; = &amp; \\text{100 centilitre s} \\\\ \\text{1 litre} &amp; = &amp; \\text{1,000 millilitre s}\\end{array}\\)<\/li>\n<\/ul>\n<\/li>\n \t<li><strong data-effect=\"bold\">Temperature Conversion<\/strong>\n<ul id=\"fs-id1170653750836\" data-bullet-style=\"open-circle\">\n \t<li>To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula \\(\\text{C}=\\dfrac{5}{9}\\left(\\text{F}-32\\right)\\)<\/li>\n \t<li>To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula \\(\\text{F}=\\dfrac{9}{5}\\text{C}+32\\)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h1 style=\"text-align: left;\" data-type=\"title\">Practice Makes Perfect<\/h1>\n<h2 id=\"fs-id1170654080058\">Make Unit Conversions in the Imperial System<\/h2>\n<p id=\"fs-id1166424788676\">In the following exercises, convert the units.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%; height: 174px;\" border=\"0\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">1. A park bench is 6 feet long. Convert the length to inches.<\/td>\n<td style=\"width: 50%; height: 14px;\">2. A floor tile is 2 feet wide. Convert the width to inches.<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">3. A ribbon is 18 inches long. Convert the length to feet.<\/td>\n<td style=\"width: 50%; height: 14px;\">4. Carson is 45 inches tall. Convert his height to feet.<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"width: 50%; height: 30px;\">5. A football field is 160 feet wide. Convert the width to yards.<\/td>\n<td style=\"width: 50%; height: 30px;\">6. On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"width: 50%; height: 30px;\">7. Ulises lives 1.5 miles from school. Convert the distance to feet.<\/td>\n<td style=\"width: 50%; height: 30px;\">8. Denver, Colorado, is 5,183 feet above sea level. Convert the height to miles.<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"width: 50%; height: 30px;\">9. A killer whale weighs 4.6 tons. Convert the weight to pounds.<\/td>\n<td style=\"width: 50%; height: 30px;\">10. Blue whales can weigh as much as 150 tons. Convert the weight to pounds.<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">11. An empty bus weighs 35,000 pounds. Convert the weight to tons.<\/td>\n<td style=\"width: 50%; height: 14px;\">12. At take-off, an airplane weighs 220,000 pounds. Convert the weight to tons.<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">13. Rocco waited \\(1\\dfrac{1}{2}\\) hours for his appointment. Convert the time to seconds.<\/td>\n<td style=\"width: 50%; height: 14px;\">14. Misty\u2019s surgery lasted \\(2\\dfrac{1}{4}\\) hours. Convert the time to seconds.<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">15. How many teaspoons are in a pint?<\/td>\n<td style=\"width: 50%; height: 14px;\">16. How many tablespoons are in a gallon?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">17. JJ\u2019s cat, Posy, weighs 14 pounds. Convert her weight to ounces.<\/td>\n<td style=\"width: 50%; height: 14px;\">18. April\u2019s dog, Beans, weighs 8 pounds. Convert his weight to ounces.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">19. Crista will serve 20 cups of juice at her son\u2019s party. Convert the volume to gallons.<\/td>\n<td style=\"width: 50%;\">20. Lance needs 50 cups of water for the runners in a race. Convert the volume to gallons.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">21. Jon is 6 feet 4 inches tall. Convert his height to inches.<\/td>\n<td style=\"width: 50%;\">22. Faye is 4 feet 10 inches tall. Convert her height to inches.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">23. The voyage of the <em data-effect=\"italics\">Mayflower<\/em> took 2 months and 5 days. Convert the time to days.<\/td>\n<td style=\"width: 50%;\">24. Lynn\u2019s cruise lasted 6 days and 18 hours. Convert the time to hours.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">25. Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces.<\/td>\n<td style=\"width: 50%;\">26. Baby Audrey weighted 6 pounds 15 ounces at birth. Convert her weight to ounces.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170654236813\">Use Mixed Units of Measurement in the Imperial System<\/h2>\n<p id=\"fs-id1166425265812\">In the following exercises, solve.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">27. Eli caught three fish. The weights of the fish were 2 pounds 4 ounces, 1 pound 11 ounces, and 4 pounds 14 ounces. What was the total weight of the three fish?<\/td>\n<td style=\"width: 50%;\">28. Judy bought 1 pound 6 ounces of almonds, 2 pounds 3 ounces of walnuts, and 8 ounces of cashews. How many pounds of nuts did Judy buy?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">29. One day Anya kept track of the number of minutes she spent driving. She recorded 45, 10, 8, 65, 20, and 35. How many hours did Anya spend driving?<\/td>\n<td style=\"width: 50%;\">30. Last year Eric went on 6 business trips. The number of days of each was 5, 2, 8, 12, 6, and 3. How many weeks did Eric spend on business trips last year?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">31. Renee attached a 6 feet 6 inch extension cord to her computer\u2019s 3 feet 8 inch power cord. What was the total length of the cords?<\/td>\n<td style=\"width: 50%;\">32. Fawzi\u2019s SUV is 6 feet 4 inches tall. If he puts a 2 feet 10 inch box on top of his SUV, what is the total height of the SUV and the box?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">33. Leilani wants to make 8 placemats. For each placemat she needs 18 inches of fabric. How many yards of fabric will she need for the 8 placemats?<\/td>\n<td style=\"width: 50%;\">34. Mireille needs to cut 24 inches of ribbon for each of the 12 girls in her dance class. How many yards of ribbon will she need altogether?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170654075429\" style=\"text-align: left;\">Make Unit Conversions in the Metric System<\/h2>\n<p id=\"fs-id1166420323132\">In the following exercises, convert the units.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">35. Ghalib ran 5 kilometres. Convert the length to metres.<\/td>\n<td style=\"width: 50%;\">36. Kitaka hiked 8 kilometres. Convert the length to metres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">37. Estrella is 1.55 metres tall. Convert her height to centimetres.<\/td>\n<td style=\"width: 50%;\">38. The width of the wading pool is 2.45 metres. Convert the width to centimetres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">39. Mount Whitney is 3,072 metres tall. Convert the height to kilometres.<\/td>\n<td style=\"width: 50%;\">40. The depth of the Mariana Trench is 10,911 metres. Convert the depth to kilometres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">41. June\u2019s multivitamin contains 1,500 milligrams of calcium. Convert this to grams.<\/td>\n<td style=\"width: 50%;\">42. A typical ruby-throated hummingbird weights 3 grams. Convert this to milligrams.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">43. One stick of butter contains 91.6 grams of fat. Convert this to milligrams.<\/td>\n<td style=\"width: 50%;\">44. One serving of gourmet ice cream has 25 grams of fat. Convert this to milligrams.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">45. The maximum mass of an airmail letter is 2 kilograms. Convert this to grams.<\/td>\n<td style=\"width: 50%;\">46. Dimitri\u2019s daughter weighed 3.8 kilograms at birth. Convert this to grams.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">47. A bottle of wine contained 750 millilitre s. Convert this to litres.<\/td>\n<td style=\"width: 50%;\">48. A bottle of medicine contained 300 millilitre s. Convert this to litres.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170653916569\">Use Mixed Units of Measurement in the Metric System<\/h2>\n<p id=\"fs-id1166424959232\">In the following exercises, solve.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%; height: 194px;\" border=\"0\">\n<tbody>\n<tr style=\"height: 30px;\">\n<td style=\"width: 50%; height: 30px;\">49. Matthias is 1.8 metres tall. His son is 89 centimetres tall. How much taller is Matthias than his son?<\/td>\n<td style=\"width: 50%; height: 30px;\">50. Stavros is 1.6 metres tall. His sister is 95 centimetres tall. How much taller is Stavros than his sister?<\/td>\n<\/tr>\n<tr style=\"height: 46px;\">\n<td style=\"width: 50%; height: 46px;\">51. A typical dove weighs 345 grams. A typical duck weighs 1.2 kilograms. What is the difference, in grams, of the weights of a duck and a dove?<\/td>\n<td style=\"width: 50%; height: 46px;\">52. Concetta had a 2-kilogram bag of flour. She used 180 grams of flour to make biscotti. How many kilograms of flour are left in the bag?<\/td>\n<\/tr>\n<tr style=\"height: 62px;\">\n<td style=\"width: 50%; height: 62px;\">53. Harry mailed 5 packages that weighed 420 grams each. What was the total weight of the packages in kilograms?<\/td>\n<td style=\"width: 50%; height: 62px;\">54. One glass of orange juice provides 560 milligrams of potassium. Linda drinks one glass of orange juice every morning. How many grams of potassium does Linda get from her orange juice in 30 days?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">55. Jonas drinks 200 millilitre s of water 8 times a day. How many litres of water does Jonas drink in a day?<\/td>\n<td style=\"width: 50%; height: 14px;\">56. One serving of whole grain sandwich bread provides 6 grams of protein. How many milligrams of protein are provided by 7 servings of whole grain sandwich bread?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170653773654\" style=\"text-align: left;\">Convert Between the Imperial and the Metric Systems of Measurement<\/h2>\n<p id=\"fs-id1166424799920\">In the following exercises, make the unit conversions. Round to the nearest tenth.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">57. Bill is 75 inches tall. Convert his height to centimetres.<\/td>\n<td style=\"width: 50%;\">58. Frankie is 42 inches tall. Convert his height to centimetres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">59. Marcus passed a football 24 yards. Convert the pass length to metres<\/td>\n<td style=\"width: 50%;\">60. Connie bought 9 yards of fabric to make drapes. Convert the fabric length to metres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">61. According to research conducted by the CRC, Canadians regrettably produce more garbage per capita than any other country on earth, at 2,172.6 pounds per person annually. Convert the waste to kilograms.<\/td>\n<td style=\"width: 50%;\">62. An average Canadian will throw away 163,000 pounds of trash over his or her lifetime. Convert this weight to kilograms.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">63. A 5K run is 5 kilometres long. Convert this length to miles.<\/td>\n<td style=\"width: 50%;\">64. Kathryn is 1.6 metres tall. Convert her height to feet.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">65. Dawn\u2019s suitcase weighed 20 kilograms. Convert the weight to pounds.<\/td>\n<td style=\"width: 50%;\">66. Jackson\u2019s backpack weighed 15 kilograms. Convert the weight to pounds.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">67. Ozzie put 14 gallons of gas in his truck. Convert the volume to litres.<\/td>\n<td style=\"width: 50%;\">68. Bernard bought 8 gallons of paint. Convert the volume to litres.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170654204869\">Convert between Fahrenheit and Celsius Temperatures<\/h2>\n<p id=\"fs-id1166422524475\">In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">69. 86\u00b0 Fahrenheit<\/td>\n<td style=\"width: 50%;\">70. 77\u00b0 Fahrenheit<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">71. 104\u00b0 Fahrenheit<\/td>\n<td style=\"width: 50%;\">72. 14\u00b0 Fahrenheit<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">73. 72\u00b0 Fahrenheit<\/td>\n<td style=\"width: 50%;\">74. 4\u00b0 Fahrenheit<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">75. 0\u00b0 Fahrenheit<\/td>\n<td style=\"width: 50%;\">76. 120\u00b0 Fahrenheit<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653742219\">In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">77. 5\u00b0 Celsius<\/td>\n<td style=\"width: 50%;\">78. 25\u00b0 Celsius<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">79. -10\u00b0 Celsius<\/td>\n<td style=\"width: 50%;\">80. -15\u00b0 Celsius<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">81. 22\u00b0 Celsius<\/td>\n<td style=\"width: 50%;\">82. 8\u00b0 Celsius<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">83. 43\u00b0 Celsius<\/td>\n<td style=\"width: 50%;\">84. 16\u00b0 Celsius<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 data-type=\"title\">Everyday Math<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">85.<strong data-effect=\"bold\"> Nutrition<\/strong> Julian drinks one can of soda every day. Each can of soda contains 40 grams of sugar. How many kilograms of sugar does Julian get from soda in 1 year?<\/td>\n<td style=\"width: 50%;\">86.<strong data-effect=\"bold\"> Reflectors<\/strong> The reflectors in each lane-marking stripe on a highway are spaced 16 yards apart. How many reflectors are needed for a one mile long lane-marking stripe?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 data-type=\"title\">Writing Exercises<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">\n<p id=\"fs-id1170654143671\">87. Some people think that 65\u00b0 to 75\u00b0 Fahrenheit is the ideal temperature range.<\/p>\na) What is your ideal temperature range? Why do you think so?\n\nb) Convert your ideal temperatures from Fahrenheit to Celsius.<\/td>\n<td style=\"width: 50%;\">88.\n\na) Did you grow up using the Canadian. or the Imperial system of measurement?\n\nb) Describe two examples in your life when you had to convert between the two systems of measurement.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Answers<\/h1>\n<table style=\"border-collapse: collapse; width: 100%; height: 288px;\" border=\"0\">\n<tbody>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">1. 72 inches<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">3. 1.5 feet<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">5. \\(53\\dfrac{1}{3}\\) yards<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">7. 7,920 feet<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">9. 9,200 pounds<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">11. \\(17\\dfrac{1}{2}\\) tons<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">13. 5,400 s<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">15. \\(96\\) teaspoons<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">17. \\(224\\) ounces<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">19. \\(1\\dfrac{1}{4}\\) gallons<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">21. 76 in.<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">23. 65 days<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">25. 115 ounces<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">27. 8 lbs. 13 oz.<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">29. 3.05 hours<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">31. 10 ft. 2 in.<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">33. 4 yards<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">35. 5,000 metres<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">37. 155 centimetres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">39. 3.072 kilometres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">41. 1.5 grams<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">43. 91,600 milligrams<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">45. 2,000 grams<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">47. 0.75 litres<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">49. 91 centimetres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">49. 91 centimetres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">49. 91 centimetres<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">53. 2.1 kilograms<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">55. 1.6 litres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">57. 190.5 centimetres<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">59. 21.9 metres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">61. 985.5 kilograms<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">63. 3.1 miles<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">65. 44 pounds<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">67. 53.2 litres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">69. 30\u00b0C<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">71. 40\u00b0C<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">73. 22.2\u00b0C<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">75. -17.8\u00b0C<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">77. 41\u00b0F<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">79. 14\u00b0F<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">81. 71.6\u00b0F<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">83. 109.4\u00b0F<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">85. 14.6 kilograms<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">87. Answers may vary.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Attributions<\/h1>\nThis chapter has been adapted from \u201cSystems of Measurement\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/elementary-algebra\"><em>Elementary Algebra<\/em><\/a> (OpenStax) by Lynn Marecek and MaryAnne Anthony-Smith, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.","rendered":"<div class=\"textbox textbox--learning-objectives\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li>Make unit conversions in the imperial system<\/li>\n<li>Use mixed units of measurement in the imperial system<\/li>\n<li>Make unit conversions in the metric system<\/li>\n<li>Use mixed units of measurement in the metric system<\/li>\n<li>Convert between the imperial and the metric systems of measurement<\/li>\n<li>Convert between Fahrenheit and Celsius temperatures<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Make Unit Conversions in the Imperial System<\/h1>\n<p id=\"fs-id1170653740434\">There are two systems of measurement commonly used around the world. Most countries use the metric system. Canada uses the metric system, and the United States use the imperial system of measurement. However, people in Canada often use imperial measurements as well. We will look at the imperial system first.<\/p>\n<p id=\"fs-id1170653846703\">The imperial system of measurement uses units of inch, foot, yard, and mile to measure length and pound and ton to measure weight. For capacity, the units used are cup, pint, quart, and gallons. Both the imperial system and the metric system measure time in seconds, minutes, and hours.<\/p>\n<p id=\"fs-id1170653916421\">The equivalencies of measurements are shown in the table below. The table also shows, in parentheses, the common abbreviations for each measurement.<\/p>\n<table id=\"fs-id1170654027716\" class=\"grid\" style=\"width: 100%;\" summary=\"This table shows the US System of Measurement. Each cell contains information about length, weight, volume, and time, respectively. The length cell notes that foot (ft.) equals inches (in.), yard (yd.) equals feet (ft.), and mile (mi.) equals feet (ft.). The volume cell notes that 3 teaspoons (t) equals 1 tablespoon (T), 16 tablespoons (T) equals 1 cup (C), 1 cup (C) equals 8 fluid ounces (fl. oz.), 1 pint (pt.) equals 2 cups (C), 1 quart (qt.) equals 2 pints (pt.), and 1 gallon (gal) equals 4 quarts (qt.). The weight cell notes that 1 pound (lb.) equals 16 ounces (oz.) and 1 ton equals 2000 pounds (lb.). Finally, the time cell notes that 1 minute (min) equals 60 seconds (sec), 1 hour (hr) equals 60 minutes (min), 1 day equals 24 hours (hr), 1 week (wk) equals 7 days, and 1 year (yr) equals 365 days.\">\n<caption>Imperial System of Measurement<\/caption>\n<tbody>\n<tr valign=\"top\">\n<td style=\"width: 297.906px;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8eae1d2949434e36633af9eb3065e3b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" 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alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#87;&#101;&#105;&#103;&#104;&#116;&#125;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#38;&#32;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#112;&#111;&#117;&#110;&#100;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#108;&#98;&#46;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#54;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#111;&#122;&#46;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#116;&#111;&#110;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#48;&#48;&#48;&#32;&#112;&#111;&#117;&#110;&#100;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#108;&#98;&#46;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"376\" style=\"vertical-align: -15px;\" \/><\/td>\n<td style=\"width: 357.906px;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c35232aadb5b3a43fbf8d78354b4c283_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#84;&#105;&#109;&#101;&#125;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#38;&#32;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#49;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#109;&#105;&#110;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#115;&#101;&#99;&#111;&#110;&#100;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#115;&#101;&#99;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#111;&#117;&#114;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#104;&#114;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#109;&#105;&#110;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#52;&#32;&#104;&#111;&#117;&#114;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#104;&#114;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#119;&#101;&#101;&#107;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#119;&#107;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#32;&#100;&#97;&#121;&#115;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#121;&#101;&#97;&#114;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#121;&#114;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#54;&#53;&#32;&#100;&#97;&#121;&#115;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"106\" width=\"391\" style=\"vertical-align: -48px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170654047456\">In many real-life applications, we need to convert between units of measurement, such as feet and yards, minutes and seconds, quarts and gallons, etc. We will use the identity property of multiplication to do these conversions. We\u2019ll restate the identity property of multiplication here for easy reference.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Identity Property of Multiplication<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>For any real number <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\" \/>:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f664e9f03677e02e5ee810ab152ee0a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#92;&#99;&#100;&#111;&#116;&#49;&#61;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"64\" style=\"vertical-align: 0px;\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c340e9b431a9ae2d99f2b115d441bb7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#97;&#61;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"63\" style=\"vertical-align: -1px;\" \/><\/p>\n<p>1 is the <strong>multiplicative identity<\/strong>.<\/p>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653791367\">To use the identity property of multiplication, we write 1 in a form that will help us convert the units. For example, suppose we want to change inches to feet. We know that 1 foot is equal to 12 inches, so we will write 1 as the fraction <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-91db025e02d61eb758eb0b714e6f4336_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#102;&#111;&#111;&#116;&#125;&#125;&#123;&#49;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#105;&#110;&#99;&#104;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"71\" style=\"vertical-align: -12px;\" \/>. When we multiply by this fraction we do not change the value, but just change the units.<\/p>\n<p id=\"fs-id1170653875590\">But <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b8996ea25a0a2106cc0e88c6e5eb8cb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#105;&#110;&#99;&#104;&#101;&#115;&#125;&#125;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#102;&#111;&#111;&#116;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"71\" style=\"vertical-align: -12px;\" \/> also equals 1. How do we decide whether to multiply by <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-91db025e02d61eb758eb0b714e6f4336_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#102;&#111;&#111;&#116;&#125;&#125;&#123;&#49;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#105;&#110;&#99;&#104;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"71\" style=\"vertical-align: -12px;\" \/> or <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b8996ea25a0a2106cc0e88c6e5eb8cb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#105;&#110;&#99;&#104;&#101;&#115;&#125;&#125;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#102;&#111;&#111;&#116;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"71\" style=\"vertical-align: -12px;\" \/>? We choose the fraction that will make the units we want to convert <em data-effect=\"italics\">from<\/em> divide out. Treat the unit words like <span class=\"no-emphasis\" data-type=\"term\">factors<\/span> and \u201cdivide out\u201d common units like we do common factors. If we want to convert <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2ea33956dc54e5d69c0bdc4ec3467097_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> inches to feet, which multiplication will eliminate the inches?<\/p>\n<p><span id=\"fs-id1170653895402\" data-type=\"media\" data-alt=\"Two expressions are given: 66 inches times the fraction (1 foot) over (12 inches), and 66 inches times the fraction (12 inches) over (1 foot). This second expression is crossed out. Below this, it is stated that \u201cThe first form works since 66 inches times the fraction (1 foot) over (12 inches), with inches crossed off in both instances.\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2020\/08\/CNX_ElemAlg_Figure_01_10_016_img_new.jpg\" alt=\"Two expressions are given: 66 inches times the fraction (1 foot) over (12 inches), and 66 inches times the fraction (12 inches) over (1 foot). This second expression is crossed out. Below this, it is stated that \u201cThe first form works since 66 inches times the fraction (1 foot) over (12 inches), with inches crossed off in both instances.\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<p id=\"fs-id1170653851306\">The inches divide out and leave only feet. The second form does not have any units that will divide out and so will not help us.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653749262\" data-type=\"exercise\">\n<div id=\"fs-id1170652619424\" data-type=\"problem\">\n<p>MaryAnne is 66 inches tall. Convert her height into feet.<\/p>\n<\/div>\n<div id=\"fs-id1170653806518\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p><span id=\"fs-id1170654071984\" data-type=\"media\" data-alt=\"A table is given with three columns. In the first column are directions. The second column has exposition, and the third column has the mathematical steps. In the first row, the direction is \u201cStep 1. Multiply the measurement to be converted by; write as a fraction relating the units given and the units needed.\u201d The exposition is \u201cMultiply inches by, writing as a fraction relating inches and feet. We need inches in the denominator so that the inches will divide out!\u201d The mathematical step is 66 inches times the fraction (1 foot) over (12 inches).\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_017a_img_new.jpg\" alt=\"A table is given with three columns. In the first column are directions. The second column has exposition, and the third column has the mathematical steps. In the first row, the direction is \u201cStep 1. Multiply the measurement to be converted by; write as a fraction relating the units given and the units needed.\u201d The exposition is \u201cMultiply inches by, writing as a fraction relating inches and feet. We need inches in the denominator so that the inches will divide out!\u201d The mathematical step is 66 inches times the fraction (1 foot) over (12 inches).\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170654026865\" data-type=\"media\" data-alt=\"In the following row, we have \u201cStep 2. Multiply.\u201d The hint is \u201cThink of 66 inches as the quantity 66 inches divided by 1.\u201d The math portion is the fraction (66 inches times 1 foot) over 12 inches.\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_017b_img_new.jpg\" alt=\"In the following row, we have \u201cStep 2. Multiply.\u201d The hint is \u201cThink of 66 inches as the quantity 66 inches divided by 1.\u201d The math portion is the fraction (66 inches times 1 foot) over 12 inches.\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170654030491\" data-type=\"media\" data-alt=\"In the following row, we have \u201cStep 3. Simplify the fraction.\u201d The hint is that \u201cNotice: inches divide out.\u201d We obtain 66 feet divided by 12.\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_017c_img_new.jpg\" alt=\"In the following row, we have \u201cStep 3. Simplify the fraction.\u201d The hint is that \u201cNotice: inches divide out.\u201d We obtain 66 feet divided by 12.\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170653797102\" data-type=\"media\" data-alt=\"Then the last step is \u201cStep 4. Simplify.\u201d The hint is \u201cDivide 66 by 12.\u201d Hence, our final mathematical statement is 5.5 feet.\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_017d_img_new.jpg\" alt=\"Then the last step is \u201cStep 4. Simplify.\u201d The hint is \u201cDivide 66 by 12.\u201d Hence, our final mathematical statement is 5.5 feet.\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653845964\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1170654069080\" data-type=\"problem\">\n<p id=\"fs-id1170654235450\">Lexie is 30 inches tall. Convert her height to feet.<\/p>\n<\/div>\n<div id=\"fs-id1170654202421\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653768687\">2.5 feet<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654075151\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654037129\" data-type=\"exercise\">\n<div data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170654012903\">Rene bought a hose that is 18 yards long. Convert the length to feet.<\/p>\n<\/div>\n<div id=\"fs-id1170654030911\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653849545\">54 feet<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Make unit conversions<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ol>\n<li>Multiply the measurement to be converted by 1; write 1 as a fraction relating the units given and the units needed.<\/li>\n<li>Multiply.<\/li>\n<li>Simplify the fraction.<\/li>\n<li>Simplify.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653814859\">When we use the identity property of multiplication to convert units, we need to make sure the units we want to change from will divide out. Usually this means we want the conversion fraction to have those units in the denominator.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654016452\" data-type=\"problem\">\n<p id=\"fs-id1170654237975\">A female orca in the Salish Sea weighs almost 3.2 tons. Convert her weight to pounds.<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div id=\"fs-id1170654026793\" data-type=\"solution\">\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654284514\">We will convert 3.2 tons into pounds. We will use the identity property of multiplication, writing 1 as the fraction <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-96399dd2894daa6d2b391b1bdd140a0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#48;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#112;&#111;&#117;&#110;&#100;&#115;&#125;&#125;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#116;&#111;&#110;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"98\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<table id=\"eip-id1169750866374\" class=\"unnumbered unstyled\" summary=\"A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cMultiply the measurement to be converted by.\u201d To the right of this we have 3.2 tons, and below that we have 3.2 tons times 1. In the following row, we have \u201cWrite 1 as a fraction relating tons and pounds.\u201d The math portion is 3.2 tons times the fraction (2,000 pounds) over 1 ton. In the following row, we have \u201cSimplify.\u201d To the right of this we have the fraction (3.2 tons times 2,000 pounds) over (1 ton), with the words tons and ton crossed out. The final step is \u201cMultiply.\u201d And the final mathematical statement is 6,400 pounds. Hence, Ndula weighs almost 6,400 pounds.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bd998a7ecc3d54e29bfc4e227794b6d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#46;&#50;&#32;&#116;&#111;&#110;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"62\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Multiply the measurement to be converted, by 1.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-79dbbc3140550f2eead527d7f4ff2845_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#46;&#50;&#32;&#116;&#111;&#110;&#115;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"82\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Write 1 as a fraction relating tons and pounds.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-274738333fad37cf880d2907f08190e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#46;&#50;&#32;&#116;&#111;&#110;&#115;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#44;&#48;&#48;&#48;&#32;&#112;&#111;&#117;&#110;&#100;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#116;&#111;&#110;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"179\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1169750866446\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_018_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d2f19f86ccaf77f4bff1fb25da0f2e4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#44;&#52;&#48;&#48;&#32;&#112;&#111;&#117;&#110;&#100;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"103\" style=\"vertical-align: -3px;\" \/><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td data-align=\"center\">The female orca weighs almost 6,400 pounds.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653805697\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653875525\" data-type=\"exercise\">\n<div id=\"fs-id1170653909784\" data-type=\"problem\">\n<p id=\"fs-id1170653894637\">Arnold\u2019s SUV weighs about 4.3 tons. Convert the weight to pounds.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653832701\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653906365\" data-type=\"exercise\">\n<div id=\"fs-id1170653737164\" data-type=\"problem\"><\/div>\n<div id=\"fs-id1170654031734\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653905491\">8,600 pounds<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653737164\" data-type=\"problem\">\n<p>The Carnival <em data-effect=\"italics\">Destiny<\/em> cruise ship weighs 51,000 tons. Convert the weight to pounds.<\/p>\n<\/div>\n<div id=\"fs-id1170654031734\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653905491\">102,000,000 pounds<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653892484\">Sometimes, to convert from one unit to another, we may need to use several other units in between, so we will need to multiply several fractions.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654078868\" data-type=\"problem\">\n<p id=\"fs-id1170653906724\">Juliet is going with her family to their summer home. She will be away from her boyfriend for 9 weeks. Convert the time to minutes.<\/p>\n<p><strong>Solution<\/strong><br \/>\nTo convert weeks into minutes we will convert weeks into days, days into hours, and then hours into minutes. To do this we will multiply by conversion factors of 1.<\/p>\n<table id=\"eip-id1169753123087\" class=\"unnumbered unstyled\" summary=\"We are given the quantity 9 weeks. A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cWrite 1 as 7 days over 1 week, 24 hours over 1 day, and 60 minutes over 1 hour.\u201d To the right of this we have (9 weeks over 1) times (7 days over 1 week) times (24 hours over 1 day) times (60 minutes over 1 hour). In the following row, we have \u201cCancel common units.\u201d The math portion is again (9 weeks over 1) times (7 days over 1 week) times (24 hours over 1 day) times (60 minutes over 1 hour), but with the weeks, days, and hours cancelled. In the following row, we have \u201cMultiply.\u201d To the right of this we have the fraction (9 times 7 times 24 times 60 minutes) over (1 times 1 times 1 times 1). The final step is \u201cSimplify.\u201d And the final mathematical statement is 90,720 minutes.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">9 weeks<\/td>\n<\/tr>\n<tr>\n<td>Write 1 as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2ecc740b6a7fa6888a3f17c6a129bf11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#32;&#100;&#97;&#121;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#119;&#101;&#101;&#107;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"41\" style=\"vertical-align: -7px;\" \/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4f9185080c5088a995087aa2f6682c70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#52;&#32;&#104;&#111;&#117;&#114;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#97;&#121;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"52\" style=\"vertical-align: -9px;\" \/>, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-1e4dc3bdfcb1bd1e1be2169ff1d2c8af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#111;&#117;&#114;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"66\" style=\"vertical-align: -7px;\" \/>.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5a7da2de4f9bb64a45adb37f3ff5e575_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#57;&#32;&#119;&#107;&#125;&#125;&#123;&#49;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#32;&#100;&#97;&#121;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#119;&#107;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#52;&#32;&#104;&#114;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#97;&#121;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#109;&#105;&#110;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#114;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"233\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td data-align=\"left\">Divide out the common units.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4e644d328ec2005c56e95eaf414c7f1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#57;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#119;&#107;&#125;&#125;&#125;&#123;&#49;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#100;&#97;&#121;&#115;&#125;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#119;&#107;&#125;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#52;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#104;&#114;&#125;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#100;&#97;&#121;&#125;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#109;&#105;&#110;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#104;&#114;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"239\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5ba843b287cff1572f8de6585c509ab4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#92;&#99;&#100;&#111;&#116;&#32;&#55;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#52;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#109;&#105;&#110;&#125;&#125;&#123;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"128\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0fc1dd5581e4deb361e79c8b69c87d2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#57;&#48;&#44;&#55;&#50;&#48;&#32;&#109;&#105;&#110;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"85\" style=\"vertical-align: -3px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170654066877\">Juliet and her boyfriend will be apart for 90,720 minutes (although it may seem like an eternity!).<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654190201\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653913514\" data-type=\"exercise\">\n<div id=\"fs-id1170654026286\" data-type=\"problem\">\n<p id=\"fs-id1170654010958\">The distance between the earth and the moon is about 250,000 miles. Convert this length to yards.<\/p>\n<\/div>\n<div data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654026042\">440,000,000 yards<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653791122\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653899856\" data-type=\"exercise\">\n<div data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653923366\">The astronauts of Expedition 28 on the International Space Station spend 15 weeks in space. Convert the time to minutes.<\/p>\n<\/div>\n<div id=\"fs-id1170654037785\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p>151,200 minutes<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654190201\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653913514\" data-type=\"exercise\">\n<div id=\"fs-id1170654026286\" data-type=\"problem\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653889570\" data-type=\"problem\">\n<p id=\"fs-id1170653915966\">How many ounces are in 1 gallon?<\/p>\n<\/div>\n<div id=\"fs-id1170653868720\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654027574\">We will convert gallons to ounces by multiplying by several conversion factors. Refer to the <a class=\"autogenerated-content\" href=\"#fs-id1170654027716\">table on Imperial Systems of Measurement<\/a>.<\/p>\n<table id=\"eip-id1169754171774\" class=\"unnumbered unstyled\" summary=\"We are given the quantity 1 gallon. A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cMultiply the measurement to be converted by 1.\u201d To the right of this we have (1 gallon over 1) times (4 quarts over 1 gallon) times (2 pints over 1 quart) times (2 cups over 1 pint) times (8 ounces over 1 cup). In the following row, we have \u201cUse conversion factors to get to the right unit and simplify.\u201d The math portion is again (1 gallon over 1) times (4 quarts over 1 gallon) times (2 pints over 1 quart) times (2 cups over 1 pint) times (8 ounces over 1 cup), but with the gallons, quarts, pints, and cups cancelled. In the following row, we have \u201cMultiply.\u201d To the right of this we have the fraction (1 times 4 times 2 times 2 times 8 ounces) over (1 times 1 times 1 times 1 times 1). The final step is \u201cSimplify.\u201d And the final mathematical statement is 128 ounces. There are 128 ounces in a gallon.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">1 gallon<\/td>\n<\/tr>\n<tr>\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e387576aca37e21425943db7ad5a6beb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#97;&#108;&#108;&#111;&#110;&#125;&#125;&#123;&#49;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#32;&#113;&#117;&#97;&#114;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#97;&#108;&#108;&#111;&#110;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#32;&#112;&#105;&#110;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#113;&#117;&#97;&#114;&#116;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#32;&#99;&#117;&#112;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#112;&#105;&#110;&#116;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#99;&#117;&#112;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"364\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td data-align=\"left\">Use conversion factors to get to the right unit.<br \/>\nSimplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1169750758852\" data-type=\"media\" data-alt=\".\"><span id=\"eip-id1169753123179\" data-type=\"media\" data-alt=\".\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ff51237ecc0640b257bb26013cbe0848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#103;&#97;&#108;&#108;&#111;&#110;&#125;&#125;&#125;&#123;&#49;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#113;&#117;&#97;&#114;&#116;&#115;&#125;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#103;&#97;&#108;&#108;&#111;&#110;&#125;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#112;&#105;&#110;&#116;&#115;&#125;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#113;&#117;&#97;&#114;&#116;&#125;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#99;&#117;&#112;&#115;&#125;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#112;&#105;&#110;&#116;&#125;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#99;&#117;&#112;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"364\" style=\"vertical-align: -16px;\" \/><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8d44e01b07c084f142a8dbf6c0acb3b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#52;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;&#123;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"153\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ffc3b11c3c60441d2b9bce5e9550c695_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#50;&#56;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"84\" style=\"vertical-align: -1px;\" \/><br \/>\nThere are 128 ounces in a gallon.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653791122\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653899856\" data-type=\"exercise\">\n<div id=\"fs-id1170654037785\" data-type=\"solution\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653773881\" data-type=\"exercise\">\n<div id=\"fs-id1170653904288\" data-type=\"problem\">\n<p id=\"fs-id1170653886975\">How many cups are in 1 gallon?<\/p>\n<\/div>\n<div id=\"fs-id1170654026872\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654060119\">16 cups<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653773259\" data-type=\"problem\">\n<p id=\"fs-id1170653890266\">How many teaspoons are in 1 cup?<\/p>\n<\/div>\n<div id=\"fs-id1170653753162\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653834434\">48 teaspoons<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Use Mixed Units of Measurement in the Imperial System<\/h1>\n<p id=\"fs-id1170654192559\">We often use mixed units of measurement in everyday situations. Suppose Joe is 5 feet 10 inches tall, stays at work for 7 hours and 45 minutes, and then eats a 1 pound 2 ounce steak for dinner\u2014all these measurements have mixed units.<\/p>\n<p>Performing arithmetic operations on measurements with mixed units of measures requires care. Be sure to add or subtract like units!<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654014673\" data-type=\"problem\">\n<p id=\"fs-id1170653741175\">Seymour bought three steaks for a barbecue. Their weights were 14 ounces; 1 pound, 2 ounces; and 1 pound, 6 ounces. How many total pounds of steak did he buy?<\/p>\n<\/div>\n<div id=\"fs-id1170653795707\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170653762858\">We will add the weights of the steaks to find the total weight of the steaks.<\/p>\n<table id=\"eip-id1169750704484\" style=\"width: 100%;\" summary=\"We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cAdd the ounces. Then add the pounds.\u201d To the right, we have a summation of 14 ounces, 1 pound 2 ounces, and 1 pound 6 ounces, with the ounces lined up and the pounds lined up. The result is 2 pounds 22 ounces. On the next line, we are told to \u201cConvert 22 ounces to pounds and ounces.\u201d And below that we are told to add the pounds. To the right we have 2 pounds plus 1 pound, 6 ounces, which gives 3 pounds, 6 ounces. Seymour bought 3 pounds and 6 ounces of steak.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Add the ounces. Then add the pounds.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-405 alignleft\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/steak.jpg\" alt=\"\" width=\"200\" height=\"117\" srcset=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2021\/03\/steak.jpg 321w, https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2021\/03\/steak-300x175.jpg 300w, https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2021\/03\/steak-65x38.jpg 65w, https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2021\/03\/steak-225x131.jpg 225w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/td>\n<\/tr>\n<tr>\n<td>Convert 22 ounces to pounds and ounces.<\/td>\n<td>1 pound, 6 ounces<\/td>\n<\/tr>\n<tr>\n<td>Add the pounds and ounces.<\/td>\n<td>2 pounds + 1 pound + 6 ounces<\/td>\n<\/tr>\n<tr>\n<td>Answer<\/td>\n<td>Seymour bought 3 pounds 6 ounces of steak.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653867884\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654034426\" data-type=\"exercise\">\n<div data-type=\"problem\">\n<p>Laura gave birth to triplets weighing 3 pounds 3 ounces, 3 pounds 3 ounces, and 2 pounds 9 ounces. What was the total birth weight of the three babies?<\/p>\n<\/div>\n<div data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653832216\">9 lbs. 8 oz<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654127576\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653758700\" data-type=\"exercise\">\n<div id=\"fs-id1170653900357\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653900357\" data-type=\"problem\">\n<p id=\"fs-id1170653894981\">Stan cut two pieces of crown molding for his family room that were 8 feet 7 inches and 12 feet 11 inches. What was the total length of the molding?<\/p>\n<\/div>\n<div id=\"fs-id1170653775359\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653860902\">21 ft. 6 in.<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653908540\" data-type=\"problem\">\n<p id=\"fs-id1170654008782\">Anthony bought four planks of wood that were each 6 feet 4 inches long. What is the total length of the wood he purchased?<\/p>\n<\/div>\n<div id=\"fs-id1170652622776\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170653833248\">We will multiply the length of one plank to find the total length.<\/p>\n<table id=\"eip-id1169750705411\" style=\"width: 100%;\" summary=\"We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the inches and then the feet.\u201d To the right, we have a multiplication set up with 6 feet 4 inches being multiplied by 4. There is a long horizontal line below the 4, and below that is the quantity 24 feet 16 inches. On the next line, we are told to \u201cConvert the 16 inches to feet.\u201d Below that, we are told to \u201cAdd the feet.\u201d To the right, we have 24 feet plus 1 foot 4 inches. Hence, Anthony bought 25 feet and 4 inches of wood.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Multiply the inches and then the feet.<\/td>\n<td><span id=\"eip-id1169750705429\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_015a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert the 16 inches to feet.<br \/>\nAdd the feet.<\/td>\n<td><span id=\"eip-id1169750705447\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_015b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Anthony bought 25 feet and 4 inches of wood.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654127576\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653758700\" data-type=\"exercise\">\n<div id=\"fs-id1170653775359\" data-type=\"solution\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654067973\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1170653913548\" data-type=\"problem\">\n<p>Henri wants to triple his vegan spaghetti sauce recipe that uses 1 pound 8 ounces of black beans. How many pounds of black beans will he need?<\/p>\n<\/div>\n<div data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653815807\">4 lbs. 8 oz.<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653896355\" data-type=\"problem\">\n<p id=\"fs-id1170653903490\">Joellen wants to double a solution of 5 gallons 3 quarts. How many gallons of solution will she have in all?<\/p>\n<\/div>\n<div id=\"fs-id1170654246112\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654069199\">11 gallons 2 qt.<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Make Unit Conversions in the Metric System<\/h1>\n<p id=\"fs-id1170653741424\">In the metric system, units are related by powers of 10. The roots words of their names reflect this relation. For example, the basic unit for measuring length is a metre. One kilometre is 1,000 metres; the prefix <em data-effect=\"italics\">kilo<\/em> means <em data-effect=\"italics\">thousand<\/em>. One centimetre is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-951df280440b0d9f791ce619be84151e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"27\" style=\"vertical-align: -13px;\" \/> of a metre, just like one cent is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-951df280440b0d9f791ce619be84151e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"27\" style=\"vertical-align: -13px;\" \/> of one dollar.<\/p>\n<p id=\"fs-id1170652648089\">The equivalencies of measurements in the metric system are shown in the table below. The common abbreviations for each measurement are given in parentheses.<\/p>\n<table class=\"grid\" style=\"border-collapse: collapse; width: 100%;\">\n<caption>Metric System of Measurement<\/caption>\n<tbody>\n<tr>\n<th style=\"width: 33.3333%;\" scope=\"col\">Length<\/th>\n<th style=\"width: 33.3333%;\" scope=\"col\">Mass<\/th>\n<th style=\"width: 33.3333%;\" scope=\"col\">Capacity<\/th>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 kilometre (km) = 1,000 m<\/p>\n<p>1 hectometre (hm) = 100 m<\/p>\n<p>1 dekametre (dam) = 10 m<\/p>\n<p>1 metre (m) = 1 m<\/p>\n<p>1 decimetre (dm) = 0.1 m<\/p>\n<p>1 centimetre (cm) = 0.01 m<\/p>\n<p>1 millimetre (mm) = 0.001 m<\/td>\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 kilogram (kg) = 1,000 g<\/p>\n<p>1 hectogram (hg) = 100 g<\/p>\n<p>1 dekagram (dag) = 10 g<\/p>\n<p>1 gram (g) = 1 g<\/p>\n<p>1 decigram (dg) = 0.1 g<\/p>\n<p>1 centigram (cg) = 0.01 g<\/p>\n<p>1 milligram (mg) = 0.001 g<\/td>\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 kilolitre (kL) = 1,000 L<\/p>\n<p>1 hectolitre (hL) = 100 L<\/p>\n<p>1 dekalitre (daL) = 10 L<\/p>\n<p>1 litre (L) = 1 L<\/p>\n<p>1 decilitre (dL) = 0.1 L<\/p>\n<p>1 centilitre (cL) = 0.01 L<\/p>\n<p>1 millilitre (mL) = 0.001 L<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 metre = 100 centimetres<\/p>\n<p>1 metre = 1,000 millimetres<\/td>\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 gram = 100 centigrams<\/p>\n<p>1 gram = 1,000 milligrams<\/td>\n<td style=\"width: 33.3333%;\" data-valign=\"middle\" data-align=\"left\">1 litre = 100 centilitre s<\/p>\n<p>1 litre = 1,000 millilitre s<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653833801\">To make conversions in the metric system, we will use the same technique we did in the Imperial system. Using the identity property of multiplication, we will multiply by a conversion factor of one to get to the correct units.<\/p>\n<p id=\"fs-id1170654013407\">Have you ever run a 5K or 10K race? The length of those races are measured in kilometres. The metric system is commonly used in Canada when talking about the length of a race.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653832767\">Nick ran a 10K race. How many metres did he run?<\/p>\n<\/div>\n<div id=\"fs-id1170654176791\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p>We will convert kilometres to metres using the identity property of multiplication.<\/p>\n<table id=\"eip-id1169752203306\" class=\"unnumbered unstyled\" summary=\"We have the quantity 10 kilometres. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the measurement to be converted by 1.\u201d To the right, we have 10 km times 1. On the next line, we are told to \u201cWrite 1 as a fraction relating kilometres and metres.\u201d To the right, we have 10 km times the fraction 1000 metres over 1 kilometre. Below that, we are told to \u201cSimplify.\u201d To the right, we have the fraction (10 km times 1000 metres) over 1 kilometre, but the kilometre units are crossed off. Finally, our last instruction is to \u201cMultiply.\u201d Hence, we obtain 10,000 m.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">10 kilometres<\/td>\n<\/tr>\n<tr>\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td><span id=\"eip-id1169752203335\" data-type=\"media\" data-alt=\".\">10 kilometres \u00d7 1<\/span><\/td>\n<\/tr>\n<tr>\n<td>Write 1 as a fraction relating kilometres and metres.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-59e1e60f479473a618c44a2e7cb042dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#107;&#105;&#108;&#111;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#44;&#48;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#125;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#107;&#105;&#108;&#111;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"227\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1169752202952\" data-type=\"media\" data-alt=\".\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-66969d11cc54e0b91ccb00e3b2a6f3be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#107;&#105;&#108;&#111;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#44;&#48;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#125;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#107;&#105;&#108;&#111;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"227\" style=\"vertical-align: -12px;\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>10,000 metres<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Nick ran 10,000 metres.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653895512\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654232032\" data-type=\"exercise\">\n<div id=\"fs-id1170653924000\" data-type=\"problem\">\n<p id=\"fs-id1170653790645\">Sandy completed her first 5K race! How many metres did she run?<\/p>\n<\/div>\n<div id=\"fs-id1170653761027\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654027507\">5,000 metres<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653774088\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653838422\" data-type=\"exercise\">\n<div id=\"fs-id1170653741057\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653741057\" data-type=\"problem\">\n<p id=\"fs-id1170653985161\">Herman bought a rug 2.5 metres in length. How many centimetres is the length?<\/p>\n<\/div>\n<div id=\"fs-id1170654016694\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p>250 centimetres<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653774088\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653838422\" data-type=\"exercise\">\n<div id=\"fs-id1170654016694\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 8<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654203077\" data-type=\"problem\">\n<p id=\"fs-id1170653870855\">Eleanor\u2019s newborn baby weighed 3,200 grams. How many kilograms did the baby weigh?<\/p>\n<\/div>\n<div id=\"fs-id1170653834770\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654016052\">We will convert grams into kilograms.<\/p>\n<table id=\"eip-id1169750760364\" class=\"unnumbered unstyled\" style=\"height: 158px;\" summary=\"We have the quantity 3200 grams. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the measurement to be converted by 1.\u201d To the right, we have 3200 g times 1. On the next line, we are told to \u201cWrite 1 as a fraction relating kilograms and grams.\u201d To the right, we have 3200 g times the fraction 1 kg over 1000 g. Below that, we are told to \u201cSimplify.\u201d To the right, we again have 3200 g times the fraction 1 kg over 1000 g, but the gram units are crossed off. Our next instruction is to \u201cMultiply.\u201d To the right we have 3200 kilograms over 1000. Finally, our last instruction is to \u201cDivide.\u201d Hence, we obtain 3.2 kilograms.\" data-label=\"\">\n<tbody>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 359.406px;\"><\/td>\n<td style=\"height: 18px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760384\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_004a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td style=\"height: 18px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760403\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_004b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr style=\"height: 39px;\">\n<td>Write 1 as a function relating kilograms and grams.<\/td>\n<td style=\"height: 39px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760421\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_004c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr style=\"height: 39px;\">\n<td style=\"height: 39px; width: 359.406px;\">Simplify.<\/td>\n<td style=\"height: 39px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760440\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_004d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 359.406px;\">Multiply.<\/td>\n<td style=\"height: 14px; width: 290.406px;\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bb35deeed966b6a1de4d2ba019f21b3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#44;&#50;&#48;&#48;&#32;&#107;&#105;&#108;&#111;&#103;&#114;&#97;&#109;&#115;&#125;&#125;&#123;&#49;&#44;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"121\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"height: 30px; width: 359.406px;\">Divide.<\/td>\n<td style=\"height: 30px; width: 290.406px;\" data-align=\"center\">3.2 kilograms<br \/>\nThe baby weighed 3.2 kilograms.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654235809\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653898632\" data-type=\"exercise\">\n<div id=\"fs-id1170653881980\" data-type=\"problem\">\n<p id=\"fs-id1170654047447\">Kari\u2019s newborn baby weighed 2,800 grams. How many kilograms did the baby weigh?<\/p>\n<\/div>\n<div id=\"fs-id1170654012324\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653907924\">2.8 kilograms<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654015378\" data-type=\"problem\">\n<p id=\"fs-id1170653903912\">Anderson received a package that was marked 4,500 grams. How many kilograms did this package weigh?<\/p>\n<\/div>\n<div id=\"fs-id1170653791953\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654215841\">4.5 kilograms<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653850159\">As you become familiar with the metric system you may see a pattern. Since the system is based on multiples of ten, the calculations involve multiplying by multiples of ten. We have learned how to simplify these calculations by just moving the decimal.<\/p>\n<p>To multiply by 10, 100, or 1,000, we move the decimal to the right one, two, or three places, respectively. To multiply by 0.1, 0.01, or 0.001, we move the decimal to the left one, two, or three places, respectively.<\/p>\n<p id=\"fs-id1170653792025\">We can apply this pattern when we make measurement conversions in the metric system. In Example 8, we changed 3,200 grams to kilograms by multiplying by <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4d6a998e64dab8aff8370047e0aa531f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"36\" style=\"vertical-align: -12px;\" \/> (or 0.001). This is the same as moving the decimal three places to the left.<\/p>\n<figure style=\"width: 272px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_005_img_new.jpg\" alt=\"We have the statement 3200 g times the fraction 1 kg over 1000 g, with the g\u2019s crossed out. Below this, we have 3.2. We also have the statement 3200 times 1\/1000, with an arrow drawn from the right of the final 0 in 3200 to the space between the 0\u2019s, to the space between the 2 and the 0, and then to the space between the 3 and the 2. Below this, we have 3.2.\" width=\"272\" height=\"95\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.1<\/figcaption><\/figure>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 9<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653912013\" data-type=\"problem\">\n<p id=\"fs-id1170653741035\">Convert a) 350 L to kilolitres b) 4.1 L to millilitre s.<\/p>\n<\/div>\n<div id=\"fs-id1170654080821\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<ol id=\"fs-id1166422551215\" class=\"circled\" type=\"a\">\n<li>We will convert litres to kilolitres. In the <a class=\"autogenerated-content\" href=\"#fs-id1170653789448\">Metric System of Measurement<\/a> table, we see that <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fc946ccf05e3527943fb9101d8c45b94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#107;&#105;&#108;&#111;&#108;&#105;&#116;&#114;&#101;&#125;&#61;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#108;&#105;&#116;&#114;&#101;&#115;&#46;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"184\" style=\"vertical-align: -4px;\" \/><br \/>\n<table id=\"eip-id1169754143940\" class=\"unnumbered unstyled can-break\" style=\"height: 187px;\" summary=\"We have the quantity 350 L. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply by 1, writing 1 as a fraction relating litres to kilolitres.\u201d To the right, we have 350 L times the fraction 1 kL over 1000 L. On the next line, we are told to \u201cSimplify.\u201d To the right, we have we have 350 L times the fraction 1 kL over 1000 L, with the L\u2019s crossed out and an arrow drawn from the right of the final 0 in 350 to the space between the 5 and the 0, to the space between the 3 and the 5, and finally to the space to the left of the 3. Below that, we are told to \u201cMove the decimal 3 units to the left. (350.)\u201d where there is an arrow drawn from the decimal place in 350. to the space between the 5 and the 0, to the space between the 3 and the 5, and finally to the space to the left of the 3. To the right, we have 0.35 kL.\" data-label=\"\">\n<tbody>\n<tr style=\"height: 16px;\">\n<td style=\"height: 16px; width: 269.717px;\"><\/td>\n<td style=\"height: 16px; width: 297.95px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7f876f408a653199c7225c1d7e4f30d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#53;&#48;&#32;&#76;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"44\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 33px;\">\n<td style=\"height: 33px; width: 269.717px;\">Multiply by 1, writing 1 as a fraction relating litres to kilolitres.<\/td>\n<td style=\"height: 33px; width: 297.95px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b9f7180393ca004a11c6c3cfcfd2a2f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#53;&#48;&#32;&#76;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#76;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#76;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"116\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 33px;\">\n<td style=\"height: 33px; width: 269.717px;\">Simplify.<\/td>\n<td style=\"height: 33px; width: 297.95px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e6a0f8684674f9119ff420d8df4b412e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#53;&#48;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#76;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#76;&#125;&#125;&#123;&#49;&#44;&#48;&#48;&#48;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#76;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"107\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 105px;\">\n<td style=\"height: 105px; width: 269.717px;\"><span id=\"eip-id1169754197015\" data-type=\"media\" data-alt=\".\">Move the decimal 3 units to the left.<\/span><\/td>\n<td style=\"height: 105px; width: 297.95px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4bd93004269821e47652676a28240dbd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#51;&#53;&#32;&#107;&#76;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"57\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>We will convert litres to millilitre s. From <a class=\"autogenerated-content\" href=\"#fs-id1170653789448\">Metric System of Measurement<\/a> table we see that <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-652cd730f1c5ad8a44a2753bdcea2861_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#105;&#116;&#114;&#101;&#125;&#61;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#115;&#46;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"198\" style=\"vertical-align: -4px;\" \/><br \/>\n<table id=\"eip-id1169748340002\" class=\"unnumbered unstyled can-break\" summary=\"We have the quantity 4.1 L. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply by 1, writing 1 as a fraction relating litres to millilitre s.\u201d To the right, we have 4.1 L times the fraction 1000 mL over 1 L. On the next line, we are told to \u201cSimplify.\u201d To the right, we have we have 4.1 L times the fraction 1000 mL over 1 L, with the L\u2019s crossed out. Below that, we are told to \u201cMove the decimal 3 units to the right.\u201d To the right of this, we have 4.100 mL where there is an arrow drawn from the decimal place in 4.100 to the space between the 1 and the 0, to the space between the 0\u2019s, and finally to the space to the right of the final 0. Below this, we have 4100 mL.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1169748340021\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply by 1, writing 1 as a fraction relating litres to millilitre s.<\/td>\n<td><span id=\"eip-id1169748340038\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1169748340054\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Move the decimal 3 units to the right.<\/td>\n<td><span id=\"eip-id1169748340071\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1169748340087\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_007e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653833635\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653934363\" data-type=\"exercise\">\n<div id=\"fs-id1170653743925\" data-type=\"problem\">\n<p id=\"fs-id1170653832489\">Convert: a) 725 L to kilolitres b) 6.3 L to millilitre s<\/p>\n<\/div>\n<div id=\"fs-id1170653924052\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654013885\">a) 7,250 kilolitres b) 6,300 millilitre s<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653887890\" data-type=\"problem\">\n<p id=\"fs-id1170653905800\">Convert: a) 350 hL to litres b) 4.1 L to centilitre s<\/p>\n<\/div>\n<div id=\"fs-id1170653888910\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654022506\">a) 35,000 litres b) 410 centilitre s<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Use Mixed Units of Measurement in the Imperial System<\/h1>\n<p id=\"fs-id1170654035773\">Performing arithmetic operations on measurements with mixed units of measures in the imperial system requires the same care we used in the Canadian system. Make sure to add or subtract like units.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 10<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654068967\" data-type=\"problem\">\n<p id=\"fs-id1170653832101\">Ryland is 1.6 metres tall. His younger brother is 85 centimetres tall. How much taller is Ryland than his younger brother?<\/p>\n<\/div>\n<div id=\"fs-id1170653737171\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654150871\">We can convert both measurements to either centimetres or metres. Since metres is the larger unit, we will subtract the lengths in metres. We convert 85 centimetres to metres by moving the decimal 2 places to the left.<\/p>\n<table id=\"eip-765\" summary=\".\">\n<tbody>\n<tr>\n<td>Write the 85 centimetres as metres.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c60a8538b2409cb7ad4e34706e735994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#114;&#125;&#49;&#46;&#54;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#109;&#125;&#92;&#92;&#32;&#92;&#117;&#110;&#100;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#45;&#48;&#46;&#56;&#53;&#92;&#116;&#101;&#120;&#116;&#123;&#109;&#125;&#125;&#32;&#92;&#92;&#32;&#48;&#46;&#55;&#53;&#92;&#116;&#101;&#120;&#116;&#123;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"61\" style=\"vertical-align: -22px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653869873\">Ryland is 0.75 m taller than his brother.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653890431\" data-type=\"exercise\">\n<div id=\"fs-id1170653753016\" data-type=\"problem\">\n<p id=\"fs-id1170654030763\">Mariella is 1.58 metres tall. Her daughter is 75 centimetres tall. How much taller is Mariella than her daughter? Write the answer in centimetres.<\/p>\n<\/div>\n<div id=\"fs-id1170653769757\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653903354\">83 centimetres<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653930864\">The fence around Hank\u2019s yard is 2 metres high. Hank is 96 centimetres tall. How much shorter than the fence is Hank? Write the answer in metres.<\/p>\n<\/div>\n<div id=\"fs-id1170653889337\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p>1.04 metres<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653902329\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654075164\" data-type=\"exercise\">\n<div id=\"fs-id1170653889337\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 11<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653740148\">Dena\u2019s recipe for lentil soup calls for 150 millilitre s of olive oil. Dena wants to triple the recipe. How many litres of olive oil will she need?<\/p>\n<\/div>\n<div id=\"fs-id1170653769748\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p>We will find the amount of olive oil in millileters then convert to litres.<\/p>\n<table id=\"eip-270\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>Triple 150 mL<\/td>\n<\/tr>\n<tr>\n<td>Translate to algebra.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7b6eccec539f270923afcb8c5165da58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#53;&#48;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#76;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"80\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>450 mL<\/td>\n<\/tr>\n<tr>\n<td>Convert to litres.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-96857342a38ebed42abe6d75305b48f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#53;&#48;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#48;&#46;&#48;&#48;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#76;&#125;&#125;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#76;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"99\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>0.45 L<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Dena needs 0.45 litres of olive oil.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>A recipe for Alfredo sauce calls for 250 millilitre s of milk. Renata is making pasta with Alfredo sauce for a big party and needs to multiply the recipe amounts by 8. How many litres of milk will she need?<\/p>\n<div id=\"fs-id1170653868239\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654242692\" data-type=\"exercise\">\n<div id=\"fs-id1170653915614\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654009181\">2 litres<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653834634\" data-type=\"problem\">\n<p>To make one pan of baklava, Dorothea needs 400 grams of filo pastry. If Dorothea plans to make 6 pans of baklava, how many kilograms of filo pastry will she need?<\/p>\n<\/div>\n<div id=\"fs-id1170653791989\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653902147\">2.4 kilograms<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Convert Between the Imperial and the Metric Systems of Measurement<\/h1>\n<p>Many measurements in Canada are made in metric units. Our soda may come in 2-litre bottles, our calcium may come in 500-mg capsules, and we may run a 5K race. To work easily in both systems, we need to be able to convert between the two systems.<\/p>\n<p id=\"fs-id1170654236427\">The table below shows some of the most common conversions.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<caption>Conversion Factors Between Imperial and Metric Systems<\/caption>\n<tbody>\n<tr valign=\"top\">\n<th style=\"width: 37.3708%;\" data-valign=\"middle\" data-align=\"center\">Length<\/th>\n<th style=\"width: 31.0192%;\" data-valign=\"middle\" data-align=\"center\">Mass<\/th>\n<th style=\"width: 31.4623%;\" data-valign=\"middle\" data-align=\"center\">Capacity<\/th>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 37.3708%;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e8312b273579d7c7d75e9fd0517fd0d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#125;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#105;&#110;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#46;&#53;&#52;&#32;&#99;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#102;&#116;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#51;&#48;&#53;&#32;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#121;&#100;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#57;&#49;&#52;&#32;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#46;&#54;&#49;&#32;&#107;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#46;&#50;&#56;&#32;&#102;&#116;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"146\" style=\"vertical-align: -45px;\" \/><\/td>\n<td style=\"width: 31.0192%;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-65da60b38f95e2878772398af2aa5a24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#125;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#98;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#52;&#53;&#32;&#107;&#103;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#111;&#122;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#56;&#32;&#103;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#103;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#46;&#50;&#32;&#108;&#98;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"137\" style=\"vertical-align: -25px;\" \/><\/td>\n<td style=\"width: 31.4623%;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d7d7d2c5ff8e09ebc9a7cf50fb200edb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#125;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#113;&#116;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#57;&#53;&#32;&#76;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#102;&#108;&#46;&#32;&#111;&#122;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#48;&#32;&#109;&#76;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#76;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#46;&#48;&#54;&#32;&#113;&#116;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"162\" style=\"vertical-align: -25px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653893032\"><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_008\">(Figure.2)<\/a> shows how inches and centimetres are related on a ruler.<\/p>\n<div id=\"CNX_ElemAlg_Figure_01_10_008\" class=\"bc-figure figure\">\n<figure style=\"width: 419px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_008_img_new.jpg\" alt=\"A ruler with inches and centimetres.\" width=\"419\" height=\"73\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.2<\/figcaption><\/figure>\n<p><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_009\">(Figure.3)<\/a> shows the ounce and millilitre markings on a measuring cup.<\/p>\n<div id=\"CNX_ElemAlg_Figure_01_10_009\" class=\"bc-figure figure\">\n<figure style=\"width: 266px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_009_img_new.jpg\" alt=\"A measuring cup showing millilitre s and ounces.\" width=\"266\" height=\"221\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.3<\/figcaption><\/figure>\n<p id=\"fs-id1170653736108\"><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_010\">(Figure.4)<\/a> shows how pounds and kilograms marked on a bathroom scale.<\/p>\n<div id=\"CNX_ElemAlg_Figure_01_10_010\" class=\"bc-figure figure\">\n<figure style=\"width: 527px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_010_img_new.jpg\" alt=\"We are given an image of a bathroom scale showing pounds.\" width=\"527\" height=\"258\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.4<\/figcaption><\/figure>\n<p id=\"fs-id1170653876302\">We make conversions between the systems just as we do within the systems\u2014by multiplying by unit conversion factors.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 12<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653899040\" data-type=\"problem\">\n<p id=\"fs-id1170654149168\">Lee\u2019s water bottle holds 500 mL of water. How many ounces are in the bottle? Round to the nearest tenth of an ounce.<\/p>\n<\/div>\n<div id=\"fs-id1170654011769\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-461\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>500 mL<\/td>\n<\/tr>\n<tr>\n<td>Multiply by a unit conversion factor relating mL and ounces.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ee5c7b4c511c00708ec9394456e3cff3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#115;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#111;&#117;&#110;&#99;&#101;&#125;&#125;&#123;&#51;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"229\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-dd7ab75c95bb2edf59a97c8fd8beeda0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#48;&#32;&#111;&#117;&#110;&#99;&#101;&#125;&#125;&#123;&#51;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"69\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>16.7 ounces.<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>The water bottle has 16.7 ounces.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 12.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653771275\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654008678\" data-type=\"exercise\">\n<div id=\"fs-id1170654036019\" data-type=\"problem\">\n<p id=\"fs-id1170653752524\">How many quarts of soda are in a 2-L bottle?<\/p>\n<\/div>\n<div id=\"fs-id1170652789213\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653846740\">2.12 quarts<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 12.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170652928456\" data-type=\"problem\">\n<p id=\"fs-id1170654150165\">How many litres are in 4 quarts of milk?<\/p>\n<\/div>\n<div id=\"fs-id1170653889769\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170652665046\">3.8 litres<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170652938147\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170652928454\" data-type=\"exercise\">\n<div id=\"fs-id1170653889769\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 13<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653768884\" data-type=\"problem\">\n<p id=\"fs-id1170653769448\">Soleil was on a road trip and saw a sign that said the next rest stop was in 100 kilometres. How many miles until the next rest stop?<\/p>\n<\/div>\n<div id=\"fs-id1170652658229\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-310\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>100 kilometres<\/td>\n<\/tr>\n<tr>\n<td>Multiply by a unit conversion factor relating km and mi.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9e22fba10abb61f35895f24de08d4cb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#107;&#105;&#108;&#111;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#105;&#108;&#101;&#125;&#125;&#123;&#49;&#46;&#54;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#107;&#105;&#108;&#111;&#109;&#101;&#116;&#114;&#101;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"236\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c987a96de1bbf7d9b8dd75f1376f69a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#109;&#105;&#108;&#101;&#115;&#125;&#125;&#123;&#49;&#46;&#54;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"72\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>62 ounces.<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Soleil will travel 62 miles.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 13.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653797640\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653871535\" data-type=\"exercise\">\n<div id=\"fs-id1170654053808\" data-type=\"problem\">\n<p id=\"fs-id1170654053811\">The height of Mount Kilimanjaro is 5,895 metres. Convert the height to feet.<\/p>\n<\/div>\n<div id=\"fs-id1170654068833\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654068835\">19,335.6 feet<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 13.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654022158\" data-type=\"problem\">\n<p id=\"fs-id1170654149655\">The flight distance from Toronto to Vancouver is 3,364 kilometres. Convert the distance to miles.<\/p>\n<\/div>\n<div id=\"fs-id1170652640987\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653874813\">2,090 miles<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Convert between Fahrenheit and Celsius Temperatures<\/h1>\n<p id=\"fs-id1170654141793\">Have you ever been in a foreign country and heard the weather forecast? If the forecast is for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-02f9323038ee8eec0414eae81aa8e8a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -1px;\" \/>\u00b0F what does that mean?<\/p>\n<p id=\"fs-id1170653807898\">The Canadian and imperial systems use different scales to measure temperature. The Canadian system uses degrees\u00a0Celsius, written\u00a0\u00b0C. The imperial system uses degrees\u00a0Fahrenheit, written\u00b0F.\u00a0<a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_011\">(Figure.5)<\/a> shows the relationship between the two systems.<\/p>\n<div id=\"CNX_ElemAlg_Figure_01_10_011\" class=\"bc-figure figure\">\n<div class=\"bc-figcaption figcaption\">The diagram shows normal body temperature, along with the freezing and boiling temperatures of water in degrees Fahrenheit and degrees Celsius.<\/div>\n<figure style=\"width: 363px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_011_img_new.jpg\" alt=\"Two thermometres are shown, one in Celsius (\u00b0C) and another in Fahrenheit (\u00b0F). They are marked \u201cWater boils\u201d at 100\u00b0C and 212\u00b0F. They are marked \u201cNormal body temperature\u201d at 37\u00b0C and 98.6\u00b0F. They are marked \u201cWater freezes\u201d at 0\u00b0C and 32\u00b0F.\" width=\"363\" height=\"614\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.5<\/figcaption><\/figure>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Temperature Conversion<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1170654200442\">To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-cc15a644240bfd3cd81653c5142499e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#70;&#45;&#51;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"120\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<p id=\"fs-id1170654230844\">To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0073d36badfd6a1ef0e45782ecc9279b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#70;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#125;&#67;&#43;&#51;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"103\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654115235\" data-type=\"note\">\n<div data-type=\"equation\" data-label=\"\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 14<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653930602\" data-type=\"problem\">\n<p id=\"fs-id1170653930604\">Convert 50\u00b0 Fahrenheit into degrees Celsius.<\/p>\n<p><strong>Solution<\/strong><\/p>\n<\/div>\n<div id=\"fs-id1170653755791\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654232177\">We will substitute 50\u00b0F into the formula to find C.<\/p>\n<table id=\"eip-id1169749562678\" style=\"width: 100%;\" summary=\"We are given the formula for converting \u00b0F to \u00b0C: C equals 5\/9 times the quantity (F minus 32). On the next line, we are told to \u201cSubstitute 50 for F.\u201d Hence, we obtain C equals 5\/9 times the quantity (50 minus 32). In the next step, we are told to \u201cSimplify in parentheses.\u201d Hence, we obtain C equals 5\/9 times 18. Finally, we are told to \u201cMultiply,\u201d and we obtain C equals 10.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1169752086556\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><span id=\"eip-id1169752086570\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<td><span id=\"eip-id1169752086580\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify in parentheses.<\/td>\n<td><span id=\"eip-id1169752086596\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1169752086613\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_012e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>So we found that 50\u00b0F is equivalent to 10\u00b0C.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 14.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654125384\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653772087\" data-type=\"exercise\">\n<div id=\"fs-id1170653772089\" data-type=\"problem\">\n<p id=\"fs-id1170653867974\">Convert the Fahrenheit temperature to degrees Celsius: 59\u00b0 Fahrenheit.<\/p>\n<\/div>\n<div id=\"fs-id1170654032787\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654032789\">15\u00b0C<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654060534\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654239366\" data-type=\"exercise\">\n<div id=\"fs-id1170654239368\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 14.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654239368\" data-type=\"problem\">\n<p id=\"fs-id1170653748922\">Convert the Fahrenheit temperature to degrees Celsius: 41\u00b0 Fahrenheit.<\/p>\n<\/div>\n<div id=\"fs-id1170653748995\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654069280\">5\u00b0C<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654060534\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654239366\" data-type=\"exercise\">\n<div id=\"fs-id1170653748995\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 15<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653798022\" data-type=\"problem\">\n<p id=\"fs-id1170654067027\">While visiting Paris, Woody saw the temperature was 20\u00b0 Celsius. Convert the temperature into degrees Fahrenheit.<\/p>\n<p><strong>Solution<\/strong><\/p>\n<\/div>\n<div id=\"fs-id1170653769463\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170653769466\">We will substitute 20\u00b0C into the formula to find F.<\/p>\n<table id=\"eip-id1169750701791\" style=\"width: 100%;\" summary=\"We are given the formula for converting \u00b0C to \u00b0F: F equals 9\/5 times C plus 32. On the next line, we are told to \u201cSubstitute 20 for C.\u201d Hence, we obtain that F equals 9\/5 times 20 plus 32. In the next step, we are told to \u201cMultiply.\u201d Hence, we obtain F equals 36 plus 32. Finally, we are told to \u201cAdd,\u201d and we obtain F equals 68.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1169750701810\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><span id=\"eip-id1169750701824\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<td><span id=\"eip-id1169750701834\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1169750701850\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Add.<\/td>\n<td><span id=\"eip-id1169750701867\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_01_10_013e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>So we found that 20\u00b0C is equivalent to 68\u00b0F.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 15.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653875549\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653875552\" data-type=\"exercise\">\n<div id=\"fs-id1170653791656\" data-type=\"problem\">\n<p id=\"fs-id1170653791658\">Convert the Celsius temperature to degrees Fahrenheit: the temperature in Helsinki, Finland, was 15\u00b0 Celsius.<\/p>\n<\/div>\n<div id=\"fs-id1170654237812\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654238722\">59\u00b0F<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170652620855\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654201794\" data-type=\"exercise\">\n<div id=\"fs-id1170654201796\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 15.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654201796\" data-type=\"problem\">\n<p id=\"fs-id1170654237375\">Convert the Celsius temperature to degrees Fahrenheit: the temperature in Sydney, Australia, was 10\u00b0 Celsius.<\/p>\n<\/div>\n<div id=\"fs-id1170653809204\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653809207\">50\u00b0 F<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Key Concepts<\/h1>\n<ul id=\"fs-id1170653748210\" data-bullet-style=\"bullet\">\n<li><strong data-effect=\"bold\">Metric System of Measurement<\/strong>\n<ul id=\"fs-id1170653893604\" data-bullet-style=\"open-circle\">\n<li><strong data-effect=\"bold\">Length<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c1bab620c119f7ca7ba0bbcfcf94a91b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#99;&#108;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#105;&#108;&#111;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#107;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#101;&#99;&#116;&#111;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#104;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#107;&#97;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#100;&#97;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#99;&#105;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#100;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#49;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#99;&#101;&#110;&#116;&#105;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#99;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#49;&#32;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#108;&#108;&#105;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#109;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#48;&#49;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#101;&#116;&#114;&#101;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#99;&#101;&#110;&#116;&#105;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#101;&#116;&#114;&#101;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#105;&#108;&#108;&#105;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"194\" width=\"326\" style=\"vertical-align: -92px;\" \/><\/li>\n<li><strong data-effect=\"bold\">Mass<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c30d38fc57cc532350776c0ab3165a8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#99;&#108;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#105;&#108;&#111;&#103;&#114;&#97;&#109;&#32;&#40;&#107;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#101;&#99;&#116;&#111;&#103;&#114;&#97;&#109;&#32;&#40;&#104;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#107;&#97;&#103;&#114;&#97;&#109;&#32;&#40;&#100;&#97;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#114;&#97;&#109;&#32;&#40;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#99;&#105;&#103;&#114;&#97;&#109;&#32;&#40;&#100;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#49;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#99;&#101;&#110;&#116;&#105;&#103;&#114;&#97;&#109;&#32;&#40;&#99;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#49;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#108;&#108;&#105;&#103;&#114;&#97;&#109;&#32;&#40;&#109;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#48;&#49;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#114;&#97;&#109;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#99;&#101;&#110;&#116;&#105;&#103;&#114;&#97;&#109;&#115;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#114;&#97;&#109;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#105;&#108;&#108;&#105;&#103;&#114;&#97;&#109;&#115;&#125;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"194\" width=\"310\" style=\"vertical-align: -92px;\" \/><\/li>\n<li><strong data-effect=\"bold\">Capacity<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ad36e692788d14a039d2209b2db6d3fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#99;&#108;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#105;&#108;&#111;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#107;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#101;&#99;&#116;&#111;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#104;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#107;&#97;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#100;&#97;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#99;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#100;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#49;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#99;&#101;&#110;&#116;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#99;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#49;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#109;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#48;&#49;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#105;&#116;&#114;&#101;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#99;&#101;&#110;&#116;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#115;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#105;&#116;&#114;&#101;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#115;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"194\" width=\"301\" style=\"vertical-align: -92px;\" \/><\/li>\n<\/ul>\n<\/li>\n<li><strong data-effect=\"bold\">Temperature Conversion<\/strong>\n<ul id=\"fs-id1170653750836\" data-bullet-style=\"open-circle\">\n<li>To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9d089fff1131b0867a51e60010ddf6c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#67;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#92;&#116;&#101;&#120;&#116;&#123;&#70;&#125;&#45;&#51;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"116\" style=\"vertical-align: -12px;\" \/><\/li>\n<li>To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d125d58b505de7bc2fe1cde907c2426d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#70;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#67;&#125;&#43;&#51;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"99\" style=\"vertical-align: -12px;\" \/><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h1 style=\"text-align: left;\" data-type=\"title\">Practice Makes Perfect<\/h1>\n<h2 id=\"fs-id1170654080058\">Make Unit Conversions in the Imperial System<\/h2>\n<p id=\"fs-id1166424788676\">In the following exercises, convert the units.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 174px;\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">1. A park bench is 6 feet long. Convert the length to inches.<\/td>\n<td style=\"width: 50%; height: 14px;\">2. A floor tile is 2 feet wide. Convert the width to inches.<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">3. A ribbon is 18 inches long. Convert the length to feet.<\/td>\n<td style=\"width: 50%; height: 14px;\">4. Carson is 45 inches tall. Convert his height to feet.<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"width: 50%; height: 30px;\">5. A football field is 160 feet wide. Convert the width to yards.<\/td>\n<td style=\"width: 50%; height: 30px;\">6. On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"width: 50%; height: 30px;\">7. Ulises lives 1.5 miles from school. Convert the distance to feet.<\/td>\n<td style=\"width: 50%; height: 30px;\">8. Denver, Colorado, is 5,183 feet above sea level. Convert the height to miles.<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"width: 50%; height: 30px;\">9. A killer whale weighs 4.6 tons. Convert the weight to pounds.<\/td>\n<td style=\"width: 50%; height: 30px;\">10. Blue whales can weigh as much as 150 tons. Convert the weight to pounds.<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">11. An empty bus weighs 35,000 pounds. Convert the weight to tons.<\/td>\n<td style=\"width: 50%; height: 14px;\">12. At take-off, an airplane weighs 220,000 pounds. Convert the weight to tons.<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">13. Rocco waited <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-49b7f44cc5919d4f507043c868a2b1ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"19\" style=\"vertical-align: -12px;\" \/> hours for his appointment. Convert the time to seconds.<\/td>\n<td style=\"width: 50%; height: 14px;\">14. Misty\u2019s surgery lasted <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-23ff03d7c0c1cbc928ab6fb19f0d920b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"20\" style=\"vertical-align: -12px;\" \/> hours. Convert the time to seconds.<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">15. How many teaspoons are in a pint?<\/td>\n<td style=\"width: 50%; height: 14px;\">16. How many tablespoons are in a gallon?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">17. JJ\u2019s cat, Posy, weighs 14 pounds. Convert her weight to ounces.<\/td>\n<td style=\"width: 50%; height: 14px;\">18. April\u2019s dog, Beans, weighs 8 pounds. Convert his weight to ounces.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">19. Crista will serve 20 cups of juice at her son\u2019s party. Convert the volume to gallons.<\/td>\n<td style=\"width: 50%;\">20. Lance needs 50 cups of water for the runners in a race. Convert the volume to gallons.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">21. Jon is 6 feet 4 inches tall. Convert his height to inches.<\/td>\n<td style=\"width: 50%;\">22. Faye is 4 feet 10 inches tall. Convert her height to inches.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">23. The voyage of the <em data-effect=\"italics\">Mayflower<\/em> took 2 months and 5 days. Convert the time to days.<\/td>\n<td style=\"width: 50%;\">24. Lynn\u2019s cruise lasted 6 days and 18 hours. Convert the time to hours.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">25. Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces.<\/td>\n<td style=\"width: 50%;\">26. Baby Audrey weighted 6 pounds 15 ounces at birth. Convert her weight to ounces.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170654236813\">Use Mixed Units of Measurement in the Imperial System<\/h2>\n<p id=\"fs-id1166425265812\">In the following exercises, solve.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">27. Eli caught three fish. The weights of the fish were 2 pounds 4 ounces, 1 pound 11 ounces, and 4 pounds 14 ounces. What was the total weight of the three fish?<\/td>\n<td style=\"width: 50%;\">28. Judy bought 1 pound 6 ounces of almonds, 2 pounds 3 ounces of walnuts, and 8 ounces of cashews. How many pounds of nuts did Judy buy?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">29. One day Anya kept track of the number of minutes she spent driving. She recorded 45, 10, 8, 65, 20, and 35. How many hours did Anya spend driving?<\/td>\n<td style=\"width: 50%;\">30. Last year Eric went on 6 business trips. The number of days of each was 5, 2, 8, 12, 6, and 3. How many weeks did Eric spend on business trips last year?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">31. Renee attached a 6 feet 6 inch extension cord to her computer\u2019s 3 feet 8 inch power cord. What was the total length of the cords?<\/td>\n<td style=\"width: 50%;\">32. Fawzi\u2019s SUV is 6 feet 4 inches tall. If he puts a 2 feet 10 inch box on top of his SUV, what is the total height of the SUV and the box?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">33. Leilani wants to make 8 placemats. For each placemat she needs 18 inches of fabric. How many yards of fabric will she need for the 8 placemats?<\/td>\n<td style=\"width: 50%;\">34. Mireille needs to cut 24 inches of ribbon for each of the 12 girls in her dance class. How many yards of ribbon will she need altogether?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170654075429\" style=\"text-align: left;\">Make Unit Conversions in the Metric System<\/h2>\n<p id=\"fs-id1166420323132\">In the following exercises, convert the units.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">35. Ghalib ran 5 kilometres. Convert the length to metres.<\/td>\n<td style=\"width: 50%;\">36. Kitaka hiked 8 kilometres. Convert the length to metres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">37. Estrella is 1.55 metres tall. Convert her height to centimetres.<\/td>\n<td style=\"width: 50%;\">38. The width of the wading pool is 2.45 metres. Convert the width to centimetres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">39. Mount Whitney is 3,072 metres tall. Convert the height to kilometres.<\/td>\n<td style=\"width: 50%;\">40. The depth of the Mariana Trench is 10,911 metres. Convert the depth to kilometres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">41. June\u2019s multivitamin contains 1,500 milligrams of calcium. Convert this to grams.<\/td>\n<td style=\"width: 50%;\">42. A typical ruby-throated hummingbird weights 3 grams. Convert this to milligrams.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">43. One stick of butter contains 91.6 grams of fat. Convert this to milligrams.<\/td>\n<td style=\"width: 50%;\">44. One serving of gourmet ice cream has 25 grams of fat. Convert this to milligrams.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">45. The maximum mass of an airmail letter is 2 kilograms. Convert this to grams.<\/td>\n<td style=\"width: 50%;\">46. Dimitri\u2019s daughter weighed 3.8 kilograms at birth. Convert this to grams.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">47. A bottle of wine contained 750 millilitre s. Convert this to litres.<\/td>\n<td style=\"width: 50%;\">48. A bottle of medicine contained 300 millilitre s. Convert this to litres.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170653916569\">Use Mixed Units of Measurement in the Metric System<\/h2>\n<p id=\"fs-id1166424959232\">In the following exercises, solve.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 194px;\">\n<tbody>\n<tr style=\"height: 30px;\">\n<td style=\"width: 50%; height: 30px;\">49. Matthias is 1.8 metres tall. His son is 89 centimetres tall. How much taller is Matthias than his son?<\/td>\n<td style=\"width: 50%; height: 30px;\">50. Stavros is 1.6 metres tall. His sister is 95 centimetres tall. How much taller is Stavros than his sister?<\/td>\n<\/tr>\n<tr style=\"height: 46px;\">\n<td style=\"width: 50%; height: 46px;\">51. A typical dove weighs 345 grams. A typical duck weighs 1.2 kilograms. What is the difference, in grams, of the weights of a duck and a dove?<\/td>\n<td style=\"width: 50%; height: 46px;\">52. Concetta had a 2-kilogram bag of flour. She used 180 grams of flour to make biscotti. How many kilograms of flour are left in the bag?<\/td>\n<\/tr>\n<tr style=\"height: 62px;\">\n<td style=\"width: 50%; height: 62px;\">53. Harry mailed 5 packages that weighed 420 grams each. What was the total weight of the packages in kilograms?<\/td>\n<td style=\"width: 50%; height: 62px;\">54. One glass of orange juice provides 560 milligrams of potassium. Linda drinks one glass of orange juice every morning. How many grams of potassium does Linda get from her orange juice in 30 days?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">55. Jonas drinks 200 millilitre s of water 8 times a day. How many litres of water does Jonas drink in a day?<\/td>\n<td style=\"width: 50%; height: 14px;\">56. One serving of whole grain sandwich bread provides 6 grams of protein. How many milligrams of protein are provided by 7 servings of whole grain sandwich bread?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170653773654\" style=\"text-align: left;\">Convert Between the Imperial and the Metric Systems of Measurement<\/h2>\n<p id=\"fs-id1166424799920\">In the following exercises, make the unit conversions. Round to the nearest tenth.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">57. Bill is 75 inches tall. Convert his height to centimetres.<\/td>\n<td style=\"width: 50%;\">58. Frankie is 42 inches tall. Convert his height to centimetres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">59. Marcus passed a football 24 yards. Convert the pass length to metres<\/td>\n<td style=\"width: 50%;\">60. Connie bought 9 yards of fabric to make drapes. Convert the fabric length to metres.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">61. According to research conducted by the CRC, Canadians regrettably produce more garbage per capita than any other country on earth, at 2,172.6 pounds per person annually. Convert the waste to kilograms.<\/td>\n<td style=\"width: 50%;\">62. An average Canadian will throw away 163,000 pounds of trash over his or her lifetime. Convert this weight to kilograms.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">63. A 5K run is 5 kilometres long. Convert this length to miles.<\/td>\n<td style=\"width: 50%;\">64. Kathryn is 1.6 metres tall. Convert her height to feet.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">65. Dawn\u2019s suitcase weighed 20 kilograms. Convert the weight to pounds.<\/td>\n<td style=\"width: 50%;\">66. Jackson\u2019s backpack weighed 15 kilograms. Convert the weight to pounds.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">67. Ozzie put 14 gallons of gas in his truck. Convert the volume to litres.<\/td>\n<td style=\"width: 50%;\">68. Bernard bought 8 gallons of paint. Convert the volume to litres.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1170654204869\">Convert between Fahrenheit and Celsius Temperatures<\/h2>\n<p id=\"fs-id1166422524475\">In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">69. 86\u00b0 Fahrenheit<\/td>\n<td style=\"width: 50%;\">70. 77\u00b0 Fahrenheit<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">71. 104\u00b0 Fahrenheit<\/td>\n<td style=\"width: 50%;\">72. 14\u00b0 Fahrenheit<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">73. 72\u00b0 Fahrenheit<\/td>\n<td style=\"width: 50%;\">74. 4\u00b0 Fahrenheit<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">75. 0\u00b0 Fahrenheit<\/td>\n<td style=\"width: 50%;\">76. 120\u00b0 Fahrenheit<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653742219\">In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">77. 5\u00b0 Celsius<\/td>\n<td style=\"width: 50%;\">78. 25\u00b0 Celsius<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">79. -10\u00b0 Celsius<\/td>\n<td style=\"width: 50%;\">80. -15\u00b0 Celsius<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">81. 22\u00b0 Celsius<\/td>\n<td style=\"width: 50%;\">82. 8\u00b0 Celsius<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">83. 43\u00b0 Celsius<\/td>\n<td style=\"width: 50%;\">84. 16\u00b0 Celsius<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 data-type=\"title\">Everyday Math<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">85.<strong data-effect=\"bold\"> Nutrition<\/strong> Julian drinks one can of soda every day. Each can of soda contains 40 grams of sugar. How many kilograms of sugar does Julian get from soda in 1 year?<\/td>\n<td style=\"width: 50%;\">86.<strong data-effect=\"bold\"> Reflectors<\/strong> The reflectors in each lane-marking stripe on a highway are spaced 16 yards apart. How many reflectors are needed for a one mile long lane-marking stripe?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 data-type=\"title\">Writing Exercises<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">\n<p id=\"fs-id1170654143671\">87. Some people think that 65\u00b0 to 75\u00b0 Fahrenheit is the ideal temperature range.<\/p>\n<p>a) What is your ideal temperature range? Why do you think so?<\/p>\n<p>b) Convert your ideal temperatures from Fahrenheit to Celsius.<\/td>\n<td style=\"width: 50%;\">88.<\/p>\n<p>a) Did you grow up using the Canadian. or the Imperial system of measurement?<\/p>\n<p>b) Describe two examples in your life when you had to convert between the two systems of measurement.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Answers<\/h1>\n<table style=\"border-collapse: collapse; width: 100%; height: 288px;\">\n<tbody>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">1. 72 inches<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">3. 1.5 feet<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">5. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ae7b44e3f9c1d04d1942c34b95e213e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#51;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"29\" style=\"vertical-align: -12px;\" \/> yards<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">7. 7,920 feet<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">9. 9,200 pounds<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">11. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-96a75d5a55eb1d47a9d619ffa9eb6421_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"28\" style=\"vertical-align: -12px;\" \/> tons<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">13. 5,400 s<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">15. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-662f6ae8c8d225801ecf7f82bc73ef62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> teaspoons<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">17. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-af2e910759227221f4ba10dddf072bcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#50;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: -1px;\" \/> ounces<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">19. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-44cef02c388f5e6509e833e02deb5c7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"19\" style=\"vertical-align: -12px;\" \/> gallons<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">21. 76 in.<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">23. 65 days<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">25. 115 ounces<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">27. 8 lbs. 13 oz.<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">29. 3.05 hours<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">31. 10 ft. 2 in.<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">33. 4 yards<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">35. 5,000 metres<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">37. 155 centimetres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">39. 3.072 kilometres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">41. 1.5 grams<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">43. 91,600 milligrams<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">45. 2,000 grams<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">47. 0.75 litres<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">49. 91 centimetres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">49. 91 centimetres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">49. 91 centimetres<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">53. 2.1 kilograms<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">55. 1.6 litres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">57. 190.5 centimetres<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">59. 21.9 metres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">61. 985.5 kilograms<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">63. 3.1 miles<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">65. 44 pounds<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">67. 53.2 litres<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">69. 30\u00b0C<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">71. 40\u00b0C<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">73. 22.2\u00b0C<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">75. -17.8\u00b0C<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">77. 41\u00b0F<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">79. 14\u00b0F<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">81. 71.6\u00b0F<\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">83. 109.4\u00b0F<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">85. 14.6 kilograms<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">87. Answers may vary.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Attributions<\/h1>\n<p>This chapter has been adapted from \u201cSystems of Measurement\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/elementary-algebra\"><em>Elementary Algebra<\/em><\/a> (OpenStax) by Lynn Marecek and MaryAnne Anthony-Smith, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.<\/p>\n","protected":false},"author":90,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-432","chapter","type-chapter","status-publish","hentry"],"part":398,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/432","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/432\/revisions"}],"predecessor-version":[{"id":433,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/432\/revisions\/433"}],"part":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/parts\/398"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/432\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/media?parent=432"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=432"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/contributor?post=432"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/license?post=432"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}