﻿ Rounding Word Problems | Problems & Solutions

# Rounding Word Problems

Rounding Word Problems
• Page 1
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

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

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

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

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