4.5: Working With Decimals 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 & 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 in Table 4.5.1. The first two are done for you as examples.
    Table 4.5.1: Question 5 Fill In 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 [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

4.5: Review Answers

  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 (see Table 4.5.2).
    Table 4.5.2: Question 5 Answers
    # 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 thousandth.
      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

Attribution

This chapter has been adapted from Unit 1 Review in Adult Literacy Fundamental Mathematics: Book 4 – 2nd Edition (BCcampus) by Katherine Arendt, Mercedes de la Nuez, and Lix Girard (2023), which is under a CC BY 4.0 license.

License

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Intermediate PreAlgebra: Building Success Copyright © 2024 by Kim Tamblyn, TRU Open Press is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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