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1.4 Decimals

Rounding and arithmetic with decimal numbers, conversion among decimals, fractions, and percents, square roots, and where each real number sits on the number line.

Intermediate Algebra 2e, 1.4 Decimals

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54 exercises

1.4 Exercise 2

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

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1.4 Exercise 3

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

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1.4 Exercise 4

Add or subtract: ⓐ −23.5−41.38−23.5 - 41.38 ⓑ 14.65−20.14.65 - 20 .

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1.4 Exercise 5

Add or subtract: ⓐ −4.8−11.69−4.8 - 11.69 ⓑ 9.58−10.9.58 - 10 .

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1.4 Exercise 6

Add or subtract: ⓐ −5.123−18.47−5.123 - 18.47 ⓑ 37.42−50.37.42 - 50 .

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1.4 Exercise 8

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

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1.4 Exercise 9

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

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1.4 Exercise 11

Multiply 2.58 by ⓐ 10 ⓑ 100 ⓒ 1000.

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1.4 Exercise 12

Multiply 14.2 by ⓐ 10 ⓑ 100 ⓒ 1000.

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1.4 Exercise 14

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

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1.4 Exercise 15

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

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1.4 Exercise 17

Write: ⓐ 0.2340.234 as a fraction ⓑ −78- \frac{7}{8} as a decimal.

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1.4 Exercise 18

Write: ⓐ 0.0240.024 as a fraction ⓑ −38- \frac{3}{8} as a decimal.

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1.4 Exercise 20

Convert each:

ⓐ percent to a decimal: 9%, 87%, and 3.9%.

ⓑ decimal to a percent: 0.17, 1.75, and 0.0825.

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1.4 Exercise 21

Convert each:

ⓐ percent to a decimal: 3%, 91%, and 8.3%.

ⓑ decimal to a percent: 0.41, 2.25, and 0.0925.

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1.4 Exercise 22

Simplify: ⓐ 25\sqrt{25} ⓑ 121\sqrt{121} ⓒ −144.− \sqrt{144} .

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1.4 Exercise 23

Simplify: ⓐ 36\sqrt{36} ⓑ 169\sqrt{169} ⓒ −225.− \sqrt{225} .

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1.4 Exercise 24

Simplify: ⓐ 16\sqrt{16} ⓑ 196\sqrt{196} ⓒ −100.− \sqrt{100} .

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1.4 Exercise 25

Given the numbers −7,145,8,5,5.9,−64,−7 , \frac{14}{5} , 8 , \sqrt{5} , 5.9 , − \sqrt{64} , list the ⓐ whole numbers ⓑ integers ⓒ rational numbers ⓓ irrational numbers ⓔ real numbers.

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1.4 Exercise 26

Given the numbers −3,−2,0.3–,95,4,49,−3 , − \sqrt{2} , 0. \overset{–}{3} , \frac{9}{5} , 4 , \sqrt{49} , list the ⓐ whole numbers ⓑ integers ⓒ rational numbers
ⓓ irrational numbers ⓔ real numbers.

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1.4 Exercise 27

Given numbers −25,−38,−1,6,121,2.041975...,− \sqrt{25} , - \frac{3}{8} , −1 , 6 , \sqrt{121} , 2.041975... , list the ⓐ whole numbers ⓑ integers ⓒ rational numbers ⓓ irrational numbers ⓔ real numbers.

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1.4 Exercise 34

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

5.781

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1.4 Exercise 36

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

0.299

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1.4 Exercise 38

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

63.479

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1.4 Exercise 40

Add or subtract.

−16.53−24.38−16.53 - 24.38

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1.4 Exercise 42

Add or subtract.

−38.69+31.47−38.69 + 31.47

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1.4 Exercise 44

Add or subtract.

72.5−10072.5 - 100

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1.4 Exercise 46

Add or subtract.

91.75−(−10.462)91.75 - \left(−10.462\right)

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1.4 Exercise 48

Add or subtract.

55.01−3.755.01 - 3.7

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1.4 Exercise 50

Add or subtract.

2.51−7.42.51 - 7.4

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1.4 Exercise 52

Multiply.

(94.69)(−12.678)\left(\right. 94.69 \left.\right) \left(−12.678\right)

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1.4 Exercise 54

Multiply.

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

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1.4 Exercise 56

Multiply.

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

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1.4 Exercise 58

Multiply.

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

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1.4 Exercise 60

Multiply.

(0.025)(100)\left(0.025\right) \left(100\right)

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1.4 Exercise 62

Multiply.

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

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1.4 Exercise 64

Divide. Round money monetary answers to the nearest cent.

$117.25÷48\$ 117.25 \div 48

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1.4 Exercise 66

Divide. Round money monetary answers to the nearest cent.

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

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1.4 Exercise 68

Divide. Round money monetary answers to the nearest cent.

5.2÷2.55.2 \div 2.5

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1.4 Exercise 70

Write each decimal as a fraction.

0.040.04

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1.4 Exercise 72

Write each decimal as a fraction.

0.0950.095

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1.4 Exercise 74

Convert each fraction to a decimal.

1720\frac{17}{20}

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1.4 Exercise 76

Convert each fraction to a decimal.

−31025- \frac{310}{25}

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1.4 Exercise 78

Convert each percent to a decimal.

71%71 \%

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1.4 Exercise 80

Convert each percent to a decimal.

39.3%39.3 \%

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1.4 Exercise 82

Convert each decimal to a percent.

1.561.56

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1.4 Exercise 84

Convert each decimal to a percent.

0.06250.0625

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1.4 Exercise 86

Simplify.

64\sqrt{64}

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1.4 Exercise 88

Simplify.

144\sqrt{144}

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1.4 Exercise 90

Simplify.

−100− \sqrt{100}

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1.4 Exercise 92

List the ⓐ whole numbers, ⓑ integers, ⓒ rational numbers, ⓓ irrational numbers, ⓔ real numbers for each set of numbers.

−8,0,1.95286...,125,36,9−8 , 0 , 1.95286... , \frac{12}{5} , \sqrt{36} , 9

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1.4 Exercise 94

List the ⓐ whole numbers, ⓑ integers, ⓒ rational numbers, ⓓ irrational numbers, ⓔ real numbers for each set of numbers.

−100,−7,−83,−1,0.77,314− \sqrt{100} , −7 , - \frac{8}{3} , −1 , 0.77 , 3 \frac{1}{4}

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1.4 Exercise 104

How does knowing about U.S. money help you learn about decimals?

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1.4 Exercise 106

In your own words, explain the difference between a rational number and an irrational number.

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