Back to Prealgebra 2e

5.2 Decimal Operations

Aligning points to add and subtract, counting decimal places in a product, shifting the point to divide, and money problems that settle in cents.

Prealgebra 2e, 5.2 Decimal Operations

Status
FlagsLoading your progress…

95 exercises

5.2 Exercise 1

Before you get started, take this readiness quiz.

Simplify 70100.\frac{70}{100} .
If you missed this problem, review the reference.

2.5

5.2 Exercise 2

Multiply 310·910.\frac{3}{10} \cdot \frac{9}{10} .
If you missed this problem, review the reference.

2.5

5.2 Exercise 3

Divide −36÷(−9).- 36 \div \left(−9\right) .
If you missed this problem, review the reference.

2.5

5.2 Exercise 4

Add: 3.7+12.4.3.7 + 12.4 .

2.5

5.2 Exercise 5

Add: 5.7+11.9.5.7 + 11.9 .

2.5

5.2 Exercise 6

Add: 18.32+14.79.18.32 + 14.79 .

2.5

5.2 Exercise 8

Add: 4.8+11.69.4.8 + 11.69 .

2.5

5.2 Exercise 9

Add: 5.123+18.47.5.123 + 18.47 .

2.5

5.2 Exercise 11

Subtract:

10−9.58.10 - 9.58 .

2.5

5.2 Exercise 12

Subtract:

50−37.42.50 - 37.42 .

2.5

5.2 Exercise 14

Subtract: 4.77−6.3.4.77 - 6.3 .

2.5

5.2 Exercise 15

Subtract: 8.12−11.7.8.12 - 11.7 .

2.5

5.2 Exercise 17

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

2.5

5.2 Exercise 18

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

2.5

5.2 Exercise 20

Multiply: (4.63)(−2.9).\left(4.63\right) \left(−2.9\right) .

2.5

5.2 Exercise 21

Multiply: (−7.78)(4.9).\left(−7.78\right) \left(4.9\right) .

2.5

5.2 Exercise 23

Multiply: (0.04)(0.087).\left(0.04\right) \left(0.087\right) .

2.5

5.2 Exercise 24

Multiply: (0.09)(0.067).\left(0.09\right) \left(0.067\right) .

2.5

5.2 Exercise 26

Multiply 2.582.58 by factors of ⓐ 1010 ⓑ 100100 ⓒ 1000.1000 .

2.5

5.2 Exercise 27

Multiply 14.214.2 by factors of ⓐ 1010 ⓑ 100100 ⓒ 1000.1000 .

2.5

5.2 Exercise 29

Divide: 0.28÷4.0.28 \div 4 .

2.5

5.2 Exercise 30

Divide: 0.56÷7.0.56 \div 7 .

2.5

5.2 Exercise 32

Divide: $6.99÷36.\$\text{6}.\text{99} \div 36 .

2.5

5.2 Exercise 33

Divide: $4.99÷12.\$\text{4}.\text{99} \div 12 .

2.5

5.2 Exercise 35

Divide: −1.989÷5.1.−1.989 \div 5.1 .

2.5

5.2 Exercise 36

Divide: −2.04÷5.1.−2.04 \div 5.1 .

2.5

5.2 Exercise 38

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

2.5

5.2 Exercise 39

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

2.5

5.2 Exercise 41

Divide: 6÷0.03.6 \div 0.03 .

2.5

5.2 Exercise 42

Divide: 7÷0.02.7 \div 0.02 .

2.5

5.2 Exercise 43

Paul received $50\$\text{50} for his birthday. He spent $31.64\$\text{31}.\text{64} on a video game. How much of Paul’s birthday money was left?

2.5

5.2 Exercise 44

Nicole earned $35\$\text{35} for babysitting her cousins, then went to the bookstore and spent $18.48\$\text{18}.\text{48} on books and coffee. How much of her babysitting money was left?

2.5

5.2 Exercise 45

Amber bought a pair of shoes for $24.75\$\text{24}.\text{75} and a purse for $36.90.\$\text{36}.\text{90} . The sales tax was $4.32.\$\text{4}.\text{32} . How much did Amber spend?

2.5

5.2 Exercise 46

Jessie put 88 gallons of gas in her car. One gallon of gas costs $3.529.\$\text{3}.\text{529} . How much does Jessie owe for the gas? (Round the answer to the nearest cent.)

2.5

5.2 Exercise 47

Hector put 1313 gallons of gas into his car. One gallon of gas costs $3.175.\$\text{3}.\text{175} . How much did Hector owe for the gas? Round to the nearest cent.

2.5

5.2 Exercise 48

Christopher bought 55 pizzas for the team. Each pizza cost $9.75.\$\text{9}.\text{75} . How much did all the pizzas cost?

2.5

5.2 Exercise 49

Four friends went out for dinner. They shared a large pizza and a pitcher of soda. The total cost of their dinner was $31.76.\$\text{31}.\text{76} . If they divide the cost equally, how much should each friend pay?

2.5

5.2 Exercise 50

Six friends went out for dinner. The total cost of their dinner was $92.82.\$\text{92}.\text{82} . If they divide the bill equally, how much should each friend pay?

2.5

5.2 Exercise 51

Chad worked 4040 hours last week and his paycheck was $570.\$\text{570} . How much does he earn per hour?

2.5

5.2 Exercise 52

Marla buys 66 bananas that cost $0.22\$\text{0}.\text{22} each and 44 oranges that cost $0.49\$\text{0}.\text{49} each. How much is the total cost of the fruit?

2.5

5.2 Exercise 53

Suzanne buys 33 cans of beans that cost $0.75\$\text{0}.\text{75} each and 66 cans of corn that cost $0.62\$\text{0}.\text{62} each. How much is the total cost of these groceries?

2.5

5.2 Exercise 54

Lydia bought movie tickets for the family. She bought two adult tickets for $9.50\$\text{9}.\text{50} each and four children’s tickets for $6.00\$\text{6}.\text{00} each. How much did the tickets cost Lydia in all?

2.5

5.2 Exercise 55

Add or subtract.

16.92+7.5616.92 + 7.56

2.5

5.2 Exercise 57

Add or subtract.

256.37−85.49256.37 - 85.49

2.5

5.2 Exercise 59

Add or subtract.

21.76−30.9921.76 - 30.99

2.5

5.2 Exercise 61

Add or subtract.

37.5+12.2337.5 + 12.23

2.5

5.2 Exercise 63

Add or subtract.

−16.53−24.38- 16.53 - 24.38

2.5

5.2 Exercise 65

Add or subtract.

−38.69+31.47- 38.69 + 31.47

2.5

5.2 Exercise 67

Add or subtract.

−4.2+(−9.3)- 4.2 + \left(- 9.3\right)

2.5

5.2 Exercise 69

Add or subtract.

100−64.2100 - 64.2

2.5

5.2 Exercise 71

Add or subtract.

72.5−10072.5 - 100

2.5

5.2 Exercise 73

Add or subtract.

15+0.7315 + 0.73

2.5

5.2 Exercise 75

Add or subtract.

2.51+402.51 + 40

2.5

5.2 Exercise 77

Add or subtract.

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

2.5

5.2 Exercise 79

Add or subtract.

55.01−3.755.01 - 3.7

2.5

5.2 Exercise 81

Add or subtract.

2.51−7.42.51 - 7.4

2.5

5.2 Exercise 83

Multiply.

(0.3)(0.4)\left(0.3\right) \left(0.4\right)

2.5

5.2 Exercise 85

Multiply.

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

2.5

5.2 Exercise 87

Multiply.

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

2.5

5.2 Exercise 89

Multiply.

(8.52)(3.14)\left(8.52\right) \left(3.14\right)

2.5

5.2 Exercise 91

Multiply.

(−4.3)(2.71)(−\text{4}.\text{3})(\text{2}.\text{71})

2.5

5.2 Exercise 93

Multiply.

(−5.18)(−65.23)(−\text{5}.\text{18})(−\text{65}.\text{23})

2.5

5.2 Exercise 95

Multiply.

(0.09)(24.78)\left(0.09\right) \left(24.78\right)

2.5

5.2 Exercise 97

Multiply.

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

2.5

5.2 Exercise 99

Multiply.

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

2.5

5.2 Exercise 101

Multiply.

(55.2)(1,000)\left(55.2\right) \left(1,000\right)

2.5

5.2 Exercise 103

Divide.

0.15÷50.15 \div 5

2.5

5.2 Exercise 105

Divide.

4.75÷254.75 \div 25

2.5

5.2 Exercise 107

Divide.

$8.49÷12\$\text{8}.\text{49} \div 12

2.5

5.2 Exercise 109

Divide.

$117.25÷48\$\text{117}.\text{25} \div 48

2.5

5.2 Exercise 111

Divide.

0.6÷0.20.6 \div 0.2

2.5

5.2 Exercise 113

Divide.

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

2.5

5.2 Exercise 115

Divide.

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

2.5

5.2 Exercise 117

Divide.

5.2÷2.55.2 \div 2.5

2.5

5.2 Exercise 119

Divide.

12÷0.0812 \div 0.08

2.5

5.2 Exercise 121

Divide.

11÷0.5511 \div 0.55

2.5

5.2 Exercise 123

Simplify.

6(12.4−9.2)6 \left(12.4 - 9.2\right)

2.5

5.2 Exercise 125

Simplify.

24(0.5)+(0.3)224 \left(0.5\right) + \left(0.3\right)^{2}

2.5

5.2 Exercise 127

Simplify.

1.15(26.83+1.61)1.15 \left(26.83 + 1.61\right)

2.5

5.2 Exercise 129

Simplify.

$45+0.08($45)\$\text{45} + 0.08 \left(\$\text{45}\right)

2.5

5.2 Exercise 131

Simplify.

18÷(0.75+0.15)18 \div \left(0.75 + 0.15\right)

2.5

5.2 Exercise 133

Simplify.

(1.43+0.27)÷(0.9−0.05)\left(1.43 + 0.27\right) \div \left(0.9 - 0.05\right)

2.5

5.2 Exercise 135

Simplify.

[$75.42+0.18($75.42)]÷5\left[\$\text{75}.\text{42} + 0.18 \left(\$\text{75}.\text{42}\right)\right] \div 5

2.5

5.2 Exercise 137

Use the strategy for applications to solve.

Spending money Brenda got $40\$\text{40} from the ATM. She spent $15.11\$\text{15}.\text{11} on a pair of earrings. How much money did she have left?

2.5

5.2 Exercise 139

Use the strategy for applications to solve.

Shopping Adam bought a t-shirt for $18.49\$\text{18}.\text{49} and a book for $8.92\$\text{8}.\text{92} The sales tax was $1.65.\$\text{1}.\text{65} . How much did Adam spend?

2.5

5.2 Exercise 141

Use the strategy for applications to solve.

Coupon Emily bought a box of cereal that cost $4.29.\$\text{4}.\text{29} . She had a coupon for $0.55\$\text{0}.\text{55} off, and the store doubled the coupon. How much did she pay for the box of cereal?

2.5

5.2 Exercise 143

Use the strategy for applications to solve.

Diet Leo took part in a diet program. He weighed 190190 pounds at the start of the program. During the first week, he lost 4.34.3 pounds. During the second week, he had lost 2.82.8 pounds. The third week, he gained 0.70.7 pounds. The fourth week, he lost 1.91.9 pounds. What did Leo weigh at the end of the fourth week?

2.5

5.2 Exercise 145

Use the strategy for applications to solve.

Coffee Noriko bought 44 coffees for herself and her co-workers. Each coffee was $3.75.\$\text{3}.\text{75} . How much did she pay for all the coffees?

2.5

5.2 Exercise 147

Use the strategy for applications to solve.

Income Mayra earns $9.25\$\text{9}.\text{25} per hour. Last week she worked 3232 hours. How much did she earn?

2.5

5.2 Exercise 149

Use the strategy for applications to solve.

Hourly Wage Alan got his first paycheck from his new job. He worked 3030 hours and earned $382.50.\$\text{382}.\text{50} . How much does he earn per hour?

2.5

5.2 Exercise 151

Use the strategy for applications to solve.

Restaurant Jeannette and her friends love to order mud pie at their favorite restaurant. They always share just one piece of pie among themselves. With tax and tip, the total cost is $6.00.\$\text{6}.\text{00} . How much does each girl pay if the total number sharing the mud pie is

ⓐ 2?2 ?

ⓑ 3?3 ?

ⓒ 4?4 ?

ⓓ 5?5 ?

ⓔ 6?6 ?

2.5

5.2 Exercise 153

Use the strategy for applications to solve.

Fast Food At their favorite fast food restaurant, the Carlson family orders 44 burgers that cost $3.29\$\text{3}.\text{29} each and 22 orders of fries at $2.74\$\text{2}.\text{74} each. What is the total cost of the order?

2.5

5.2 Exercise 155

Use the strategy for applications to solve.

Zoo The Lewis and Chousmith families are planning to go to the zoo together. Adult tickets cost $29.95\$\text{29}.\text{95} and children’s tickets cost $19.95.\$\text{19}.\text{95} . What will the total cost be for 44 adults and 77 children?

2.5

5.2 Exercise 157

Paycheck Annie has two jobs. She gets paid $14.04\$\text{14}.\text{04} per hour for tutoring at City College and $8.75\$\text{8}.\text{75} per hour at a coffee shop. Last week she tutored for 88 hours and worked at the coffee shop for 1515 hours.

ⓐ How much did she earn?

ⓑ If she had worked all 2323 hours as a tutor instead of working both jobs, how much more would she have earned?

2.5

5.2 Exercise 159

At the 2010 winter Olympics, two skiers took the silver and bronze medals in the Men's Super-G ski event. Miller's time was 11 minute 30.6230.62 seconds and Weibrecht's time was 11 minute 30.6530.65 seconds. Find the difference in their times and then write the name of that decimal.

2.5

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