1.3E: Exercises

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Practice Makes Perfect

Round Decimals

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

$5.781$
$0.299$
$63.479$

Answer

ⓐ $5.78$ ⓑ $5.8$ ⓒ $6$
ⓐ $0.30$ ⓑ $0.3$ ⓒ $0$
ⓐ $63.48$ ⓑ $63.5$ ⓒ $63$

Add and Subtract

In the following exercises, add or subtract.

$−16.53−24.38$
$−38.69+31.47$
$72.5-100$
$91.75−(−10.462)$
$55.01−3.7$
$2.51−7.4$

Answer

$−40.91$
$−7.22$
$-27.5$
$102.212$
$51.31$
$−4.89$

Multiply

In the following exercises, multiply.

$(−5.18)(−65.23)$
$(0.06)(21.75)$
$(9.24)(10)$
$(0.025)(100)$
$(55.2)(1000)$

Answer

$337.8914$
$1.305$
$92.4$
$2.5$
$55200$

Divide

In the following exercises, divide. Round to nearest hundredth

$117.25÷48$
$1.44÷(−0.3)$
$5.2÷2.5$

Answer

$2.44$
$−4.8$
$2.08$

Convert Decimals, Fractions, and Percents

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

$0.04$
$0.095$

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

$\frac{17}{20}$
$−\frac{310}{25}$

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

$71 \%$
$39.3 \% $

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

$1.56$
$0.0625$

Answer

$\frac{1}{25}$
$\frac{19}{200}$
$0.85$
$−12.4$
$0.71$
$0.393$
$156 \% $
$6.25 \% $

Locate Fractions and Decimals on Number Line

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

$\frac{3}{10},\frac{7}{2},\frac{11}{6},4$
$\frac{3}{4},−\frac{3}{4},1\frac{2}{3},−1\frac{2}{3},\frac{5}{2},−\frac{5}{2}$
$0.8$, $−1.25$
$−1.6$, $3.25$

Answer

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

$Figure shows a number line with numbers ranging from minus 4 to 4. Some values are highlighted. From left to right, these are: minus 5 by 2, minus 1 and two thirds, minus 3 by 4, 3 by 4, 1 and two thirds, and 5 by 2.$
$Figure shows a number line with numbers ranging from minus 4 to 4. Two values are highlighted. One is between minus 2 and minus 1. The other is between 0 and 1.$
$Figure shows a number line with numbers ranging from minus 4 to 4. Two values are highlighted. One is between minus 2 and minus 1. The other is between 3 and 4.$

Writing Exercises

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.
Explain how the sets of numbers (counting, whole, integer, rational, irrationals, reals) are related to each other.

Answer: Answers will vary.