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1.3E: Exercises

  • Page ID
    104799

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    Practice Makes Perfect

    Round Decimals

    Round each number to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.

    1. \(5.781\)
    2. \(0.299\)
    3. \(63.479\)
    Answer
    1. ⓐ \(5.78\) ⓑ \(5.8\) ⓒ \(6\)
    2. ⓐ \(0.30\) ⓑ \(0.3\) ⓒ \(0\)
    3. ⓐ \(63.48\) ⓑ \(63.5\) ⓒ \(63\)
    Add and Subtract

    In the following exercises, add or subtract.

    1. \(−16.53−24.38\)
    2. \(−38.69+31.47\)
    3. \(72.5-100\)
    4. \(91.75−(−10.462)\)
    5. \(55.01−3.7\)
    6. \(2.51−7.4\)
    Answer
    1. \(−40.91\)
    2. \(−7.22\)
    3. \(-27.5\)
    4. \(102.212\)
    5. \(51.31\)
    6. \(−4.89\)
    Multiply

    In the following exercises, multiply.

    1. \((−5.18)(−65.23)\)
    2. \((0.06)(21.75)\)
    3. \((9.24)(10)\)
    4. \((0.025)(100)\)
    5. \((55.2)(1000)\)
    Answer
    1. \(337.8914\)
    2. \(1.305\)
    3. \(92.4\)
    4. \(2.5\)
    5. \(55200\)
    Divide

    In the following exercises, divide. Round to nearest hundredth

    1. \(117.25÷48\)
    2. \(1.44÷(−0.3)\)
    3. \(5.2÷2.5\)
    Answer
    1. \(2.44\)
    2. \(−4.8\)
    3. \(2.08\)
    Convert Decimals, Fractions, and Percents

    In the following exercises, write each decimal as a fraction.

    1. \(0.04\)
    2. \(0.095\)

    In the following exercises, convert each fraction to a decimal.

    1. \(\frac{17}{20}\)
    2. \(−\frac{310}{25}\)

    In the following exercises, convert each percent to a decimal.

    1. \(71 \%\)
    2. \(39.3 \% \)

    In the following exercises, convert each decimal to a percent.

    1. \(1.56\)
    2. \(0.0625\)
    Answer
    1. \(\frac{1}{25}\)
    2. \(\frac{19}{200}\)
    3. \(0.85\)
    4. \(−12.4\)
    5. \(0.71\)
    6. \(0.393\)
    7. \(156 \% \)
    8. \(6.25 \% \)
    Locate Fractions and Decimals on Number Line

    In the following exercises, locate the numbers on a number line.

    1. \(\frac{3}{10},\frac{7}{2},\frac{11}{6},4\)
    2. \(\frac{3}{4},−\frac{3}{4},1\frac{2}{3},−1\frac{2}{3},\frac{5}{2},−\frac{5}{2}\)
    3. \(0.8\), \(−1.25\)
    4. \(−1.6\), \(3.25\)
    Answer

    26. Figure shows a number line with numbers ranging from 0 to 6. Some values are highlighted. From left to right, these are: 3 by 10, 11 by 6, 7 by 2 and 4.

    1. Figure shows a number line with numbers ranging from minus 4 to 4. Some values are highlighted. From left to right, these are: minus 5 by 2, minus 1 and two thirds, minus 3 by 4, 3 by 4, 1 and two thirds, and 5 by 2.
    2. Figure shows a number line with numbers ranging from minus 4 to 4. Two values are highlighted. One is between minus 2 and minus 1. The other is between 0 and 1.
    3. Figure shows a number line with numbers ranging from minus 4 to 4. Two values are highlighted. One is between minus 2 and minus 1. The other is between 3 and 4.
    Writing Exercises
    1. When the Szetos sold their home, the selling price was 500% of what they had paid for the house 30 years ago. Explain what 500% means in this context.
    2. Explain how the sets of numbers (counting, whole, integer, rational, irrationals, reals) are related to each other.
    Answer

    Answers will vary.


    This page titled 1.3E: Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Stanislav A. Trunov and Elizabeth J. Hale via source content that was edited to the style and standards of the LibreTexts platform.