Unit 1: Working with Decimals
Unit 1 Review
This section is for extra practice and review. If you are unsure about how to do something, look back at the lesson on that skill.
Reading and Writing Decimals
- Write as decimals:
- [latex]\dfrac{4}{10}[/latex]
- [latex]\dfrac{25}{100}[/latex]
- [latex]\dfrac{37}{100}[/latex]
- [latex]\dfrac{3}{100}[/latex]
- [latex]\dfrac{207}{10000}[/latex]
- [latex]3\dfrac{787}{1000}[/latex]
- [latex]\dfrac{11}{100}[/latex]
- [latex]5\dfrac{12}{10000}[/latex]
- [latex]38\dfrac{12}{100}[/latex]
- [latex]78\dfrac{43}{10000}[/latex]
- Write these decimals as common fractions:
- 0.7
- 0.06
- 0.49
- 3.078
- 47.397
- 2.173
- Write as common fractions and as decimals:
- three tenths
- fifty-one hundredths
- three hundred and sixty-one thousandths
- fifty one thousandths
- four hundred thirty-one ten-thousandths
- seven and seven tenths
- nine hundred seventy and eighty-nine hundredths
- nine and four hundred twelve thousandths
- six hundredths
- Write the amount of money with numerals, using a $ sign:
- Seven dollars and seventy-eight cents
- Eighty-eight cents
- Five hundred dollars and five cents
- Ninety-nine dollars and ninety cents
- Five thousand three hundred twenty-two dollars eighty-nine cents
- Complete the chart. The first two are done for you as examples.
# Decimal Fraction In words a. 0.0005 [latex]\dfrac{5}{10000}[/latex] five ten-thousandths b. 0.07 [latex]\dfrac{7}{100}[/latex] seven hundredths c. [latex]\dfrac{86}{1000}[/latex] d. [latex]7\dfrac{11}{100}[/latex] e. fourteen and seventeen thousandths f. 647.8 g. [latex]103\dfrac{62}{1000}[/latex] h. 75.13 i. forty-two and three tenths j. 0.789 k. ten and five hundred sixty-seven thousandths
Comparing Decimals
- Cross out the zeros that are not needed:
- 0.5060
- 07.0307
- 900.380
- 05.200
- Compare the decimals and then put the correct sign between the decimals (<, >, =):
- 4.3 43
- 78.9 7.89
- 3.5 3.05
- 042.9003 042.9
- 17.34 13.34
- 4.01 5.01
Rounding Decimals
- Round the following decimals:
- To the nearest tenth:
- 3.84
- 0.09
- 3.97
- To the nearest hundredth:
- 2.754
- 4.3856
- 5.9754
- 1.8032
- 37.439
- To the nearest thousandth:
- 0.1376
- 2.7499
- 0.00057
- To the nearest whole number:
- 0.39
- 78.78
- 4.44
- 80.745
- 901.399
- To the nearest tenth:
Answers to Review
- Write as decimals.
- 0.4
- 0.25
- 0.37
- 0.03
- 0.0207
- 3.787
- 0.11
- 5.0012
- 38.12
- 78.0043
- Write these decimals as common fractions.
- [latex]\dfrac{7}{10}[/latex]
- [latex]\dfrac{6}{100}[/latex]
- [latex]\dfrac{49}{100}[/latex]
- [latex]3\dfrac{78}{1000}[/latex]
- [latex]47\dfrac{379}{1000}[/latex]
- [latex]2\dfrac{173}{1000}[/latex]
- Write as common fractions and as decimals.
- [latex]\dfrac{3}{10}[/latex], 0.3
- [latex]\dfrac{51}{100}[/latex], 0.51
- [latex]300\dfrac{61}{1000}[/latex], 300.061
- [latex]\dfrac{51}{1000}[/latex], 0.051
- [latex]\dfrac{431}{10000}[/latex], 0.0431
- [latex]7\dfrac{7}{10}[/latex], 7.7
- [latex]970\dfrac{89}{100}[/latex], 970.89
- [latex]9\dfrac{412}{1000}[/latex]. 9.412
- [latex]\dfrac{6}{100}[/latex], 0.06
- Write the amount of money with numerals, using a $ sign.
- $7.78
- $0.88
- $500.05
- $99.90
- $5 322.89
- Complete the chart.
# Decimal Fraction In words a. 0.0005 [latex]\dfrac{5}{10000}[/latex] five ten-thousandths b. 0.07 [latex]\dfrac{7}{100}[/latex] seven hundredths c. 0.086 [latex]\dfrac{86}{1000}[/latex] eighty-six thousandths d. 7.11 [latex]7\dfrac{11}{100}[/latex] seven and eleven hundredths e. 14.017 [latex]14\dfrac{17}{1000}[/latex] fourteen and seventeen thousandths f. 647.8 [latex]647\dfrac{8}{10}[/latex] six hundred forty-seven and eight tenths g. 103.062 [latex]103\dfrac{62}{1000}[/latex] one hundred three and sixty-two thousandths h. 75.13 [latex]75\dfrac{13}{100}[/latex] seventy-five and thirteen hundredths i. 42.3 [latex]42\dfrac{3}{10}[/latex] forty-two and three tenths j. 0.789 [latex]\dfrac{789}{1000}[/latex] seven hundred eighty-nine thousandths k. 10.567 [latex]10\dfrac{567}{1000}[/latex] ten and five hundred sixty-seven thousandths - Cross out the zeros that are not needed.
- 0.506
- 7.0307
- 900.38
- 5.2
- Compare the decimals and then put the correct sign between the decimals (<, >, =).
- <
- >
- >
- >
- >
- <
- Round the following decimals:
- To the nearest tenth:
- 3.8
- 0.1
- 4.0
- To the nearest hundredth:
- 2.75
- 4.39
- 5.98
- 1.80
- 37.44
- To the nearest thousandth:
- 0.138
- 2.750
- 0.001
- To the nearest whole number:
- 0
- 79
- 4
- 81
- 901
- To the nearest tenth:
Test time!
Please see your instructor to get your Practice Test.
When you are confident, you can write your Unit 1 Test or do the Unit 1 Assignment.
Congratulations!