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1.3.5: Decimals Practice

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    The following set of exercises provides practice for the concepts covered in Module 1.3: Decimals. Complete these problems to reinforce your understanding and build fluency with the skills introduced in this module.

    Section 1.3.1 - Understanding Decimals

    Identify the requested digit of the given number.

    1. Which digit is in the tenths column of the number 9279.0075?

    2. Which digit is in the hundredths column of the number 1743.1634?

    Write the given decimal number in expanded form.

    4. 68.392

    5. 815.64

    Write the decimal in word form.

    6. 974.35

    7. 0.6879

    Convert each decimal to a fraction. Simplify your answer and write it as a mixed number when needed.

    8. 0.74

    9. 1.24

    10. 0.375

    11. 2.125

    12. 3.6

    Fill in < or > for each of the following pairs of numbers.

    13. 8.5934 ___ 8.554

    14. 514.873553 ___ 514.87374

    15. 0.000681 ___ 0.00043174

    Section 1.3.2 - Rounding Whole Numbers and Decimals

    16. Round 56872.21 to the nearest thousand.

    17. Round 42.841 to the nearest tenth.

    18. Round 53.794 to the nearest hundredth.

    Section 1.3.3 - Calculator Skills Involving Decimals

    Estimate each expression by rounding to convenient values. Write the new expression you used to estimate.

    19. 17.45 + 12.974

    20. 59.08 − 4.6

    21. (9.4)(12.15)

    Evaluate each expression using a calculator.

    22. −19.47 − 32.58

    23. 94.69 − (− 12.678)

    24. (− 8.5)(1.69)

    25. 12.04 ÷ 43

    26. −1.15 ÷ (− 0.05)

    27. 35(0.2) + (0.9)2

    28. 1.18(46.22 + 3.71)

    Section 1.3.4 - Fractions and Decimals

    Convert the given fraction to a decimal. Round to the nearest hundredths, if needed.

    29. \(\frac{14}{5}\)

    30. \(\frac{15}{16}\)

    31. \(\frac{8}{9}\)

    32. \(\frac{65}{36}\)

    Simplify the given expression. Answer with a simplified fraction.

    33. \(\frac{3}{2} − 2.73\)

    34. \(\frac{3}{4} + 3.7\)

    35. \(− \frac{11}{6} + 1.12\)

    1.3.5: Decimals Practice is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts.