﻿ Rounding Word Problems | Problems & Solutions
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Rounding Word Problems
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1.

The cost of 3 albums is about $28. Correct answer : (3) 2. Roddick earned$12.35 for mowing a lawn and $24.75 for working at a restaurant in a single day. Estimate the amount he earned on that single day. Round to the nearest dollar. a.$32 b. $30 c.$45 d. $37 #### Solution: Amount Roddick earned for mowing a lawn is$12.35.

$12.35 rounded to the nearest dollar is$12.

Amount Roddick earned working at a restaurant is $24.75.$24.75 rounded to the nearest dollar is $25. The amount Roddick earned in a single day 12 + 25 =$37

Amount Roddick earned in a single day is about $37. Correct answer : (4) 3. Amanda bought 10 books for$28.45, 5 pens for $15.15, and 5 pencils for$6.75. Estimate the total amount that Amanda spent. a. $60 b.$50 c. $30 d.$45

#### Solution:

Cost of 10 books is $28.45.$28.45 rounded to the nearest dollar is $28. Cost of 5 pens is$15.15.

$15.15 rounded to the nearest dollar is$15.

Cost of 5 pencils is $6.75.$6.75 rounded to the nearest dollar is $7. Cost of all the items 28 + 15 + 7 =$50

The total amount spent by Amanda in buying all the items is about $50. Correct answer : (2) 4. Roseberg works 20 hours per week at a gas station where he earns$8.75 per hour. He also works 15 hours per week as a pizza delivery boy and earns $5.75 per hour. Estimate the amount Roseberg earns in a week. a.$240 b. $270 c.$370 d. $300 #### Solution:$8.75 rounded to the nearest dollar is $9. Amount earned by Roseberg working 20 hours in a gas station 20 × 9 =$180

$5.75 rounded to the nearest dollar is$6.

Amount earned by Roseberg working 15 hours as a pizza delivery boy 15 × 6 = $90 Total amount earned by Roseberg per week is about$180 + $90 =$270

Estimated amount Roseberg earned in a week is $270. Correct answer : (2) 5. The cost of a book is$6.25 and the cost of a bag is $35.80. Find the cost of 15 books and 3 bags. Round to the nearest dollar. a.$180 b. $189 c.$190 d. $198 #### Solution: The cost of a book is$6.25.

$6.25 rounded to the nearest dollar is$6.

Cost of 15 books 15 × 6 = $90 The cost of a bag is$35.80.

$35.80 rounded to the nearest dollar is$36.

Cost of 3 bags 3 × 36 = $108 Cost of 15 books and 3 bags 90 + 108 =$198

So, the cost of 15 books and 3 bags is about $198. Correct answer : (4) 6. Justin made three telephone calls, which cost him$6.78, $3.82, and$7.18. Estimate the total money spent. a. $11 b.$18 c. $16 d.$13

#### Solution:

$6.78$7
[Round to the nearest dollar.]

$3.82$4
[Round to the nearest dollar.]

$7.18$7
[Round to the nearest dollar.]

$7 +$4 + $7 =$18
[Add the rounded values.]

Justin spent about $18 for telephone calls. Correct answer : (2) 7. Kathy needs to pay$59.65 for a book. If she has only ten dollar bills, then estimate how much money she should give to the clerk. a. round up to $59.70 b. round down to$59.50 c. round up to $60.00 d. round down to$50.00

Correct answer : (3)
8.
Which of the following represents 2.388 rounded to the nearest tenth? a. 3 b. 2.4 c. 2.3 d. 2.31

#### Solution:

2.388
[Original Decimal.]

As 3 is in the tenths place, 2.388 rounds to 2.3 or 2.4

8 is the digit to the right of 3.

Since 8 > 5, 2.388 rounds to 2.4 than 2.3

To the nearest tenth, 2.388 rounds to 2.4

Correct answer : (2)
9.
Find the decimal that represents 0.7167 rounded to the nearest hundredth and then to the nearest tenth. a. 0.8 b. 0.9 c. 0.7 d. 0.6

#### Solution:

0.7167
[Original Decimal.]

The digit in hundredths place is 1.

The digit to the right of 1 is 6, which is greater than 5.

Since the decimal in thousandths place is greater than 5, to the nearest hundredths 0.7167 rounds to 0.72

Since 7 is in the tenths place, 0.72 rounds to 0.7 or 0.8

2 is the digit to the right of 7.

Since 2 < 5, 0.72 is closer to 0.7 than 0.8

Correct answer : (3)
10.
Which of the following represents 298.3669 rounded to the nearest hundredth and then to the nearest tenth? a. 298.4 b. 298.37 c. 298.3 d. 298.5

#### Solution:

298.3669
[Original Decimal.]

The digit in the hundredths place is 6.

The digit to the right of 6 is 6 and 6 > 5.

298.37
The decimal rounded to nearest hundredths'

3 is in the tenths place so 298.36 rounds to 298.3 or 298.4

6 is the digit to the right of 3.

Since 6 > 5, 298.36 is closer to 298.4 than 298.3

Correct answer : (1)

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