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1.7 Decimals

Naming, rounding, and computing with decimal numbers, plus converting freely among decimals, fractions, and percents.

Elementary Algebra 2e, 1.7 Decimals

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101 exercises

1.7 Exercise 2

Name the decimal: 6.7.6.7 .

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1.7 Exercise 3

Name the decimal: 5.8.5.8 .

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1.7 Exercise 4

Name the decimal: −15.571.−15.571 .

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1.7 Exercise 5

Name the decimal: −13.461.−13.461 .

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1.7 Exercise 6

Name the decimal: −2.053.−2.053 .

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1.7 Exercise 8

Write as a decimal: thirteen and sixty-eight thousandths.

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1.7 Exercise 9

Write as a decimal: five and ninety-four thousandths.

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1.7 Exercise 11

Round to the nearest hundredth: 1.047.1.047 .

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1.7 Exercise 12

Round to the nearest hundredth: 9.173.9.173 .

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1.7 Exercise 14

Round 6.5826.582 to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.

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1.7 Exercise 15

Round 15.217515.2175 to the nearest ⓐ thousandth ⓑ hundredth ⓒ tenth.

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1.7 Exercise 16

Add: 23.5+41.38.23.5 + 41.38 .

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1.7 Exercise 17

Add: 4.8+11.69.4.8 + 11.69 .

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1.7 Exercise 18

Add: 5.123+18.47.5.123 + 18.47 .

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1.7 Exercise 19

Subtract: 20−14.65.20 - 14.65 .

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1.7 Exercise 20

Subtract: 10−9.58.10 - 9.58 .

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1.7 Exercise 21

Subtract: 50−37.42.50 - 37.42 .

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1.7 Exercise 23

Multiply: −4.5(6.107).−4.5 \left(6.107\right) .

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1.7 Exercise 24

Multiply: −10.79(8.12).−10.79 \left(8.12\right) .

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1.7 Exercise 26

Multiply 2.58 ⓐ by 10 ⓑ by 100 ⓒ by 1,000.

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1.7 Exercise 27

Multiply 14.2 ⓐ by 10 ⓑ by 100 ⓒ by 1,000.

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1.7 Exercise 29

Divide: −23.492÷(−0.04).−23.492 \div \left(−0.04\right) .

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1.7 Exercise 30

Divide: −4.11÷(−0.12).−4.11 \div \left(−0.12\right) .

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1.7 Exercise 32

Divide: $6.99÷36.$6.99 \div 36 .

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1.7 Exercise 33

Divide: $4.99÷12.$4.99 \div 12 .

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1.7 Exercise 35

Write 0.234 as a fraction.

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1.7 Exercise 36

Write 0.024 as a fraction.

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1.7 Exercise 38

Write −78- \frac{7}{8} as a decimal.

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1.7 Exercise 39

Write −38- \frac{3}{8} as a decimal.

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1.7 Exercise 41

Write 2711\frac{27}{11} as a decimal.

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1.7 Exercise 42

Write 5122\frac{51}{22} as a decimal.

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1.7 Exercise 44

Simplify: 38+4.9.\frac{3}{8} + 4.9 .

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1.7 Exercise 45

Simplify: 5.7+1320.5.7 + \frac{13}{20} .

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1.7 Exercise 47

Convert each percent to a decimal: ⓐ 9%9% ⓑ 87%87% ⓒ 3.9%.

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1.7 Exercise 48

Convert each percent to a decimal: ⓐ 3% ⓑ 91% ⓒ 8.3%.

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1.7 Exercise 50

Convert each decimal to a percent: ⓐ 0.17 ⓑ 1.75 ⓒ 0.0825.

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1.7 Exercise 51

Convert each decimal to a percent: ⓐ 0.41 ⓑ 2.25 ⓒ 0.0925.

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1.7 Exercise 52

Write as a decimal.

Twenty-nine and eighty-one hundredths

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1.7 Exercise 54

Write as a decimal.

Seven tenths

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1.7 Exercise 56

Write as a decimal.

Twenty-nine thousandth

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1.7 Exercise 58

Write as a decimal.

Negative eleven and nine ten-thousandths

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1.7 Exercise 60

Name each decimal.

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1.7 Exercise 62

Name each decimal.

8.71

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1.7 Exercise 64

Name each decimal.

0.002

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1.7 Exercise 66

Name each decimal.

−17.9− 17 .\text{9}

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1.7 Exercise 68

Round each number to the nearest tenth.

0.67

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1.7 Exercise 70

Round each number to the nearest tenth.

2.84

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1.7 Exercise 72

Round each number to the nearest hundredth.

0.845

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1.7 Exercise 74

Round each number to the nearest hundredth.

0.299

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1.7 Exercise 76

Round each number to the nearest hundredth.

4.098

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1.7 Exercise 78

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

5.781

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1.7 Exercise 80

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

63.479

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1.7 Exercise 82

Add or subtract.

16.92+7.5616.92 + 7.56

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1.7 Exercise 84

Add or subtract.

21.76−30.9921.76 - 30.99

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1.7 Exercise 86

Add or subtract.

−16.53−24.38−16.53 - 24.38

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1.7 Exercise 88

Add or subtract.

−38.69+31.47−38.69 + 31.47

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1.7 Exercise 90

Add or subtract.

72.5−10072.5 - 100

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1.7 Exercise 92

Add or subtract.

15+0.7315 + 0.73

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1.7 Exercise 94

Add or subtract.

91.95−(−10.462)91.95 - \left(−10.462\right)

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1.7 Exercise 96

Add or subtract.

55.01−3.755.01 - 3.7

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1.7 Exercise 98

Add or subtract.

2.51−7.42.51 - 7.4

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1.7 Exercise 100

Multiply.

(0.24)(0.6)\left(0.24\right) \left(0.6\right)

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1.7 Exercise 102

Multiply.

(5.9)(7.12)\left(5.9\right) \left(7.12\right)

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1.7 Exercise 104

Multiply.

(−4.3)(2.71)\left(−4.3\right) \left(2.71\right)

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1.7 Exercise 106

Multiply.

(−5.18)(−65.23)\left(−5.18\right) \left(−65.23\right)

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1.7 Exercise 108

Multiply.

(0.06)(21.75)\left(0.06\right) \left(21.75\right)

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1.7 Exercise 110

Multiply.

(9.24)(10)\left(9.24\right) \left(10\right)

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1.7 Exercise 112

Multiply.

(55.2)(1000)\left(55.2\right) \left(1000\right)

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1.7 Exercise 114

Divide.

4.75÷254.75 \div 25

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1.7 Exercise 116

Divide.

$117.25÷48$117.25 \div 48

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1.7 Exercise 118

Divide.

0.6÷0.20.6 \div 0.2

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1.7 Exercise 120

Divide.

1.44÷(−0.3)1.44 \div \left(−0.3\right)

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1.7 Exercise 122

Divide.

−1.75÷(−0.05)−1.75 \div \left(−0.05\right)

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1.7 Exercise 124

Divide.

5.2÷2.55.2 \div 2.5

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1.7 Exercise 126

Divide.

11÷0.5511 \div 0.55

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1.7 Exercise 128

Write each decimal as a fraction.

0.04

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1.7 Exercise 130

Write each decimal as a fraction.

0.52

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1.7 Exercise 132

Write each decimal as a fraction.

1.25

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1.7 Exercise 134

Write each decimal as a fraction.

0.375

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1.7 Exercise 136

Write each decimal as a fraction.

0.095

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1.7 Exercise 138

Convert each fraction to a decimal.

1720\frac{17}{20}

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1.7 Exercise 140

Convert each fraction to a decimal.

114\frac{11}{4}

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1.7 Exercise 142

Convert each fraction to a decimal.

−31025- \frac{310}{25}

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1.7 Exercise 144

Convert each fraction to a decimal.

1511\frac{15}{11}

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1.7 Exercise 146

Convert each fraction to a decimal.

15111\frac{15}{111}

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1.7 Exercise 148

Convert each fraction to a decimal.

2.4+582.4 + \frac{5}{8}

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1.7 Exercise 150

Convert each percent to a decimal.

1%

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1.7 Exercise 152

Convert each percent to a decimal.

63%

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1.7 Exercise 154

Convert each percent to a decimal.

150%

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1.7 Exercise 156

Convert each percent to a decimal.

21.4%

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1.7 Exercise 158

Convert each percent to a decimal.

7.8%

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1.7 Exercise 160

Convert each decimal to a percent.

0.01

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1.7 Exercise 162

Convert each decimal to a percent.

1.35

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1.7 Exercise 164

Convert each decimal to a percent.

3

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1.7 Exercise 166

Convert each decimal to a percent.

0.0875

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1.7 Exercise 168

Convert each decimal to a percent.

2.254

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1.7 Exercise 170

Salary Increase Danny got a raise and now makes $58,965.95 a year. Round this number to the nearest ⓐ dollar ⓑ thousand dollars ⓒ ten thousand dollars.

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1.7 Exercise 172

Sales Tax Hyo Jin lives in San Diego. She bought a refrigerator for $1,624.99 and when the clerk calculated the sales tax it came out to exactly $142.186625. Round the sales tax to the nearest ⓐ penny and ⓑ dollar.

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1.7 Exercise 174

Paycheck Annie has two jobs. She gets paid $14.04 per hour for tutoring at City College and $8.75 per hour at a coffee shop. Last week she tutored for 8 hours and worked at the coffee shop for 15 hours. ⓐ How much did she earn? ⓑ If she had worked all 23 hours as a tutor instead of working both jobs, how much more would she have earned?

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1.7 Exercise 176

How does knowing about US money help you learn about decimals?

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1.7 Exercise 178

Without solving the problem “44 is 80% of what number” think about what the solution might be. Should it be a number that is greater than 44 or less than 44? Explain your reasoning.

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.