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

  1. Write as decimals:
    1. [latex]\dfrac{4}{10}[/latex]
    2. [latex]\dfrac{25}{100}[/latex]
    3. [latex]\dfrac{37}{100}[/latex]
    4. [latex]\dfrac{3}{100}[/latex]
    5. [latex]\dfrac{207}{10000}[/latex]
    6. [latex]3\dfrac{787}{1000}[/latex]
    7. [latex]\dfrac{11}{100}[/latex]
    8. [latex]5\dfrac{12}{10000}[/latex]
    9. [latex]38\dfrac{12}{100}[/latex]
    10. [latex]78\dfrac{43}{10000}[/latex]
  2. Write these decimals as common fractions:
    1. 0.7
    2. 0.06
    3. 0.49
    4. 3.078
    5. 47.397
    6. 2.173
  3. Write as common fractions and as decimals:
    1. Three tenths
    2. Fifty- one hundredths
    3. Three hundred and sixty-one thousandths
    4. Fifty one thousandths
    5. Four hundred thirty-one ten thousandths
    6. Seven and seven tenths
    7. Nine hundred seventy and eighty-nine hundredths
    8. Nine and four hundred twelve thousandths
    9. Six hundredths
  4. Write the amount of money with numerals, using a $ sign:
    1. Seven dollars and seventy-eight cents
    2. Eighty-eight cents
    3. Five hundred dollars and five cents
    4. Ninety-nine dollars and ninety cents
    5. Five thousand three hundred twenty-two dollars eighty-nine cents
  5. 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 thousndths
    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

  1. Cross out the zeros that are not needed:
    1. 0.5060
    2. 07.0307
    3. 900.380
    4. 05.200
  2. Compare the decimals and then put the correct sign between the decimals (<, >, =):
    1. 4.3                  43
    2. 78.9                  7.89
    3. 3.5                  3.05
    4. 042.9003                  042.9
    5. 17.34                  13.34
    6. 4.01                  5.01

Rounding Decimals

  1. Round the following decimals:
    1.  To the nearest tenth:
      1. 3.84
      2. 0.09
      3. 3.97
    2. To the nearest hundredth:
      1. 2.754
      2. 4.3856
      3. 5.9754
      4. 1.8032
      5. 37.439
    3. To the nearest thousandth:
      1. 0.1376
      2. 2.7499
      3. 0.00057
    4. To the nearest whole number:
      1. 0.39
      2. 78.78
      3. 4.44
      4. 80.745
      5. 901.399

Answers to Review

  1. Write as decimals.
    1. 0.4
    2. 0.25
    3. 0.37
    4. 0.03
    5. 0.0207
    6. 3.787
    7. 0.11
    8. 5.012
    9. 38.12
    10. 78.0043
  2. Write these decimals as common fractions.
    1. [latex]\dfrac{7}{10}[/latex]
    2. [latex]\dfrac{6}{100}[/latex]
    3. [latex]\dfrac{49}{100}[/latex]
    4. [latex]3\dfrac{78}{1000}[/latex]
    5. [latex]47\dfrac{379}{1000}[/latex]
    6. [latex]2\dfrac{173}{1000}[/latex]
  3. Write as common fractions and as decimals.
    1. [latex]\dfrac{3}{10}[/latex], 0.3
    2. [latex]\dfrac{51}{100}[/latex], 0.51
    3. [latex]300\dfrac{61}{1000}[/latex], 300.061
    4. [latex]\dfrac{51}{1000}[/latex], 0.051
    5. [latex]\dfrac{431}{10000}[/latex], 0.0431
    6. [latex]7\dfrac{7}{10}[/latex], 7.7
    7. [latex]970\dfrac{89}{100}[/latex], 970.89
    8. [latex]9\dfrac{412}{1000}[/latex]. 9.412
    9. [latex]\dfrac{6}{100}[/latex],  0.06
  4. Write the amount of money with numerals, using a $ sign.
    1. $7.78
    2. $0.88
    3. $500.05
    4. $99.90
    5. $5 322.89
  5. 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 forty seven and eight tenths
    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
  6. Cross out the zeros that are not needed.
    1. 0.506
    2. 7.0307
    3. 900.38
    4. 5.2
  7. Compare the decimals and then put the correct sign between the decimals (<, >, =).
    1. <
    2. >
    3. >
    4. >
    5. >
    6. <
  8. Round the following decimals:
    1.  To the nearest tenth:
      1. 3.8
      2. 0.1
      3. 4.0
    2. To the nearest hundredth:
      1. 2.75
      2. 4.39
      3. 5.98
      4. 1.80
      5. 37.44
    3. To the nearest thousandth:
      1. 0.138
      2. 2.750
      3. 0.001
    4. To the nearest whole number:
      1. 0
      2. 79
      3. 4
      4. 81
      5. 901

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!

 

License

Icon for the Creative Commons Attribution 4.0 International License

Adult Literacy Fundamental Mathematics: Book 4 - 2nd Edition Copyright © 2023 by Katherine Arendt; Mercedes de la Nuez; and Liz Girard is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

Share This Book