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Add and Subtract Decimals

In the following exercises, add or subtract.

16.53 24.38

−40.91

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38.69 + 31.47

−7.22

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4.2 + ( 9.3 )

−13.5

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91.75 ( 10.462 )

102.212

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94.69 ( 12.678 )

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Multiply Decimals

In the following exercises, multiply.

( 8.52 ) ( 3.14 )

26.7528

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(−4.3)(2.71)

−11.653

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(−5.18)(−65.23)

337.8914

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( 9.16 ) ( 68.34 )

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( 0.09 ) ( 24.78 )

2.2302

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( 0.06 ) ( 21.75 )

1.305

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( 55.2 ) ( 1,000 )

55,200

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Divide Decimals

In the following exercises, divide.

1.44 ÷ ( 0.3 )

−4.8

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1.75 ÷ ( 0.05 )

35

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1.15 ÷ ( 0.05 )

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Mixed Practice

In the following exercises, simplify.

24 ( 0.5 ) + ( 0.3 ) 2

12.09

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1.15 ( 26.83 + 1.61 )

32.706

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$45 + 0.08 ( $45 )

$48.60

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18 ÷ ( 0.75 + 0.15 )

20

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( 1.43 + 0.27 ) ÷ ( 0.9 0.05 )

2

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( 1.5 0.06 ) ÷ ( 0.12 + 0.24 )

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[ $75.42 + 0.18 ( $75.42 ) ] ÷ 5

$17.80

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[ $56.31 + 0.22 ( $56.31 ) ] ÷ 4

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Use Decimals in Money Applications

In the following exercises, use the strategy for applications to solve.

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

$24.89

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Spending money Marissa found $20 in her pocket. She spent $4.82 on a smoothie. How much of the $20 did she have left?

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Shopping Adam bought a t-shirt for $18.49 and a book for $8.92 The sales tax was $1.65 . How much did Adam spend?

$29.06

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Restaurant Roberto’s restaurant bill was $20.45 for the entrée and $3.15 for the drink. He left a $4.40 tip. How much did Roberto spend?

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Coupon Emily bought a box of cereal that cost $4.29 . She had a coupon for $0.55 off, and the store doubled the coupon. How much did she pay for the box of cereal?

$3.19

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Coupon Diana bought a can of coffee that cost $7.99 . She had a coupon for $0.75 off, and the store doubled the coupon. How much did she pay for the can of coffee?

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Diet Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?

181.7 pounds

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Snowpack On April 1 , the snowpack at the ski resort was 4 meters deep, but the next few days were very warm. By April 5 , the snow depth was 1.6 meters less. On April 8 , it snowed and added 2.1 meters of snow. What was the total depth of the snow?

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Coffee Noriko bought 4 coffees for herself and her co-workers. Each coffee was $3.75 . How much did she pay for all the coffees?

$15.00

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Subway Fare Arianna spends $4.50 per day on subway fare. Last week she rode the subway 6 days. How much did she spend for the subway fares?

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Income Mayra earns $9.25 per hour. Last week she worked 32 hours. How much did she earn?

$296.00

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Income Peter earns $8.75 per hour. Last week he worked 19 hours. How much did he earn?

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Hourly Wage Alan got his first paycheck from his new job. He worked 30 hours and earned $382.50 . How much does he earn per hour?

$12.75

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Hourly Wage Maria got her first paycheck from her new job. She worked 25 hours and earned $362.50 . How much does she earn per hour?

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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 . How much does each girl pay if the total number sharing the mud pie is

2 ?

3 ?

4 ?

5 ?

6 ?

  1. $3
  2. $2
  3. $1.50
  4. $1.20
  5. $1

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Pizza Alex and his friends go out for pizza and video games once a week. They share the cost of a $15.60 pizza equally. How much does each person pay if the total number sharing the pizza is

2 ?

3 ?

4 ?

5 ?

6 ?

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Fast Food At their favorite fast food restaurant, the Carlson family orders 4 burgers that cost $3.29 each and 2 orders of fries at $2.74 each. What is the total cost of the order?

$18.64

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Home Goods Chelsea needs towels to take with her to college. She buys 2 bath towels that cost $9.99 each and 6 washcloths that cost $2.99 each. What is the total cost for the bath towels and washcloths?

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Zoo The Lewis and Chousmith families are planning to go to the zoo together. Adult tickets cost $29.95 and children’s tickets cost $19.95 . What will the total cost be for 4 adults and 7 children?

$259.45

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Ice Skating Jasmine wants to have her birthday party at the local ice skating rink. It will cost $8.25 per child and $12.95 per adult. What will the total cost be for 12 children and 3 adults?

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Everyday math

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?

  1. $243.57
  2. $79.35

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Paycheck Jake has two jobs. He gets paid $7.95 per hour at the college cafeteria and $20.25 at the art gallery. Last week he worked 12 hours at the cafeteria and 5 hours at the art gallery.

How much did he earn?

If he had worked all 17 hours at the art gallery instead of working both jobs, how much more would he have earned?

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Writing exercises

In the 2010 winter Olympics, two skiers took the silver and bronze medals in the Men's Super-G ski event. The silver medalist's time was 1 minute 30.62 seconds and bronze medalist's time was 1 minute 30.65 seconds. Whose time was faster? Find the difference in their times and then write the name of that decimal.

The difference: 0.03 seconds. Three hundredths of a second.

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Find the quotient of 0.12 ÷ 0.04 and explain in words all the steps taken.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

After reviewing this checklist, what will you do to become confident for all objectives?

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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