Chapter Review Problems
Unit 1.1 Reading, writing, and rounding numbers
Change these numbers to words:
1. 317
Three hundred seventeen
2. 8,257,116
3. 2.1
Eight million, two hundred fifty-seven thousand, one hundred sixteen
Two and one-tenth
4. 12.0012
Twelve and twelve ten-thousandths
Change these words to numbers:
5. Four hundred twenty-six thousand
426,000
6. Four hundred twenty-six thousandths
.426
7. Four hundred and twenty-six thousandths
400.026
8. Fourteen million, seven hundred twenty-six thousand, one hundred eleven and two tenths
9. 4.8 trillion
4.8 trillion
4,8
14,726,111.2
4,800,000,000,000
Round each number.
10. 76.12506 to the nearest hundredth
11. 123,678,499 to the nearest thousand
76.13
76.12506
123,678,499
123,678,000
12. 23,467.5000001 to the nearest whole number
23,467.5000001
13. 45,951 to the nearest hundred
46,000
45,951
23,468
Unit 1.2 Working with whole numbers
Find the sum of each group of numbers. Remember, do not use a calculator.
14. 123 + 456 + 54 + 8
15. 76 + 7 + 341 + 25,018
1 2
16. 15,000 + 2,111 + 7,085 + 12,448
1 2
123
456
54
+ 8
641
1
76
7
341
+25,018
25,442
1 1
15,000
2,111
7,085
+12,448
36,644
Subtract. Remember, do not use a calculator.
17. 127 - 12
127
- 12
115
18. 1,171 - 489
Check by
adding up.
5 + 2 = 7, etc.
19. 12,762 - 1,134
0 10 1611
5 12
1,171
- 489
682
12,762
- 1,134
11,628
Check by
adding up.
Check by
adding up.
Multiply. Do not use a calculator.
20. 123 45
123
45
615
4 92
5,535
21. 45 1,832
1,832
45
9 160
73 28
82,440
22. 120 1,800
1,800
120
Pretend
18 2 zeros
12 + 1 zero
36 3
18 attach 3 zeros
216
216,000
Chapter Review Problems
19
Divide. Indicate any remainder.
23. 48 3
24. 3,528 24
16
3) 48
3
18
18
147
24)3528
24
112
96
168
168
25. 8,724 41
212 R32
41) 8724
82
52
41
114
82
32
Unit 1.3 Strategy for solving word problems
26. You buy a car for $22,700 and the dealer gives you a $4,570 trade-in on your old car. What is the net amount you owe
the dealer after the trade-in is deducted?
$22,700 - $4,570 = $18,130
27. A movie theater has 40 seats in each row. If there are a total of 53 rows, what is the total number of seats?
53
40
pretend
53
4 (1 zero ignored)
212
2,120 seats
28. Your golf scores on 9 holes were 4, 5, 3, 4, 7, 6, 4, 2, and 5. If par is 36 for the 9 holes, how many strokes over par did
you shoot?
Your score: 4 + 5 + 3 + 4 + 7 + 6 + 4 + 2 + 5 = 40
Over par: 40 - 36 = 4
29. You are ordering soda pop for your company picnic. There are 96 people coming to the picnic and you think each person will drink about 3 cans of soda pop. How many cans of soda pop should you order?
96
3
288 cans
30. Refer to Problem 29. How many 24-can cases do you need?
12 cases
24)288
24
48
48
31. You are thinking about buying a computer system. The computer costs $980, the monitor is $425, and the printer is
$310. Estimate the total price by rounding each amount to the nearest hundred dollars.
$ 980
425
+ 310
Rounded
$1,000
400
+ 300
$1,700
Think: 10 + 4 = 14; + 3 = 17
Unit 1.4 Working with decimal numbers
Find the result.
32. 123 + 456.1 + 548.179 + 1.23
1,128.509
33. 76.52 + 83.71 + 41.68 + 250
451.91
34. 15,000 + 2,111.1 + 7,086.2764 + 1.12
24,198.4964
35. 123.46 - 1.23
122.23
36. 11.71 - 4.89
6.82
37. 12,762 - 113.468
12,648.532
38. 112.45 2.1
236.145
39. 12.79 2.19
28.0101
40. 48.1 2.3844
114.68964
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Chapter 1 Whole Numbers and Decimals
41. 122.85 ÷ 27
4.55
44. 47 1,000
1000
(3 zeros)
42. 108.9044 ÷ 2.12
51.37
47.000
3 places right
47,000
43. 148 ÷ 12.5
11.84
45. 4.68 ÷ 100
100
4.68
(2 zeros)
04.68
.0468
2 places left
46. During the last week, you wrote checks for $45.10, $32, $450, and $92.16. What is the total amount of checks
written during the week?
$45.10 + $32 + $450 + 92.16 = $619.26
47. You have $745.26 in your checking account before writing a check for $110.78. What is your new balance?
$745.26 - $110.78 = $634.48
48. You own three adjoining parcels of land containing 22 acres, 105.643 acres, and .92 acres. What is the total acreage?
22 acres + 105.643 acres + .92 acres = 128.563 acres
49. You go into an office supply store with a $50 bill. You buy some office supplies and come out of the store with
$8.52 in change. How much did you spend?
$50 - $8.52 = $41.48
50. Luciano Montoya owns a tile business. Luciano charges $9.50 a square foot (sq ft) for a certain tile. How much
should Luciano charge a customer for 322 square feet of tile?
322 sq ft $9.50 per sq ft = $3,059
51. You are thinking about buying a watermelon. If the melon weighs 18.5 pounds (lb) and sells for 39 cents a pound,
how much will the melon cost (rounded to the nearest penny)?
18.5 lb $0.39 per lb = $7.215 = $7.22 (rounded)
52. Howard Sadler is a traveling salesman. His employer reimburses employees for car mileage at 34 cents per mile. If
Howard drove 1,872.4 miles during June, how much will he receive from his employer?
1,872.4 miles $0.34 per mile = $636.62 (to the nearest penny)
53. A company has 295.75 square feet (sq ft) of leather from which it makes baseball gloves. If each glove requires 3.5
square feet of leather, how many full gloves can be made from the 295.75 square feet of leather?
295.75 sq ft ÷ 3.5 sq ft per glove = 84.5 gloves = 84 full gloves
Challenge problems
For Problems 54–56, we will figure your gas mileage. Your auto mileage at the beginning of a vacation is 23,578.9. You filled your
gas tank prior to leaving town and bought gas as follows during the trip: 14.6 gallons, 17.4 gallons, 11.7 gallons, 15.6 gallons, 17.1
gallons, and 9.4 gallons upon your return home. Your mileage at the end of your vacation was 26,007.4.
54. How many miles did you travel on the trip?
26,007.4 ending miles - 23,578.9 beginning miles = 2,428.5 miles
55. How many gallons (gal) of gas did you use?
14.6 gal + 17.4 gal + 11.7 gal + 15.6 gal + 17.1 gal + 9.4 gal = 85.8 gal
56. Calculate your average miles per gallon (mpg), to the nearest tenth, for the trip.
miles per gallon means “miles divided by gallons,” so: 2,428.5 miles ÷ 85.8 gal = 28.3 mpg
57. Suppose you rent a moving truck for 2 days. You are charged $49 per day plus 24 cents per mile. If the mileage was
34,122.8 when you picked up the truck and 34,428.3 when you returned the truck, what is the total amount you
will owe for the 2 days?
Miles: 34,428.3 - 34,122.8 = 305.5
Charge
For miles: 305.5 mi $0.24
$ 73.32
Daily charge: 2 days $49
+ 98.00
$171.32
Chapter Review Problems
21
58. Assuming the average heartbeat is 73 beats per minute, how many beats are there in (a) 1 hour, (b) 1 day, (c) 1 year
(assume an average of 365.25 days per year), and (d) a 70-year life?
Heartbeats per minute
73
60
a. Heartbeats per hour
4,380
24
b. Heartbeats per day
105,120
365.25
c. Heartbeats per year
38,395,080
70
d. Heartbeats per 70-year life
2,687,655,600
59. A warehouse rents for $3,450 per month. Calculate the annual rent (i.e., how much rent is paid each year).
$3,450 12 months = $41,400
60. Refer to Problem 59. Assuming that the warehouse contains 9,720 square feet, calculate the annual rent per square foot.
Round your answer to the nearest penny.
Rent per square foot means “rent divided by square feet,” so $41,400 ÷ 9,720 sq ft = $4.26 per sq ft
61. Jewell Koga weighed 151 pounds 3 months ago and now weighs 124 pounds. How many pounds did Jewell lose?
151 lb - 124 lb = 27 lb
62. Refer to Problem 61. On average, how many pounds per month did she lose?
Pounds per month means “pounds divided by months,” so: 27 lb ÷ 3 months = 9 lb per month
63. You are thinking about buying a 16-unit apartment building. Ten of the units are rented for $700 per month, four are
rented for $725, and two are rented for $750. What is the total annual (yearly) rent?
10 $700
$7,000
4 $725
2,900
2 $750
1,500
Total monthly rent
$11,400
12
Total annual rent
$136,800
64. Refer to Problem 63. You anticipate expenses of $41,000 per year (for property taxes, insurance, repairs, utilities, etc.)
and your monthly mortgage payment is $7,730. What amount should you have left over at the end of the year after
depositing rents and paying expenses and mortgage payments?
Total annual rent
$136,800
Less expenses
- 41,000
Amount after expenses
$ 95,800
Less mortgage payments: 12 $7,730
- 92,760
Amount after mortgage payments
$ 3,040
65. The Yang family is planning a vacation. They will be gone 15 days. They estimate that lodging will cost an average of
$85 per night (they will need lodging for only 14 nights, since they will get back home on the fifteenth day). Meals will
average $24 per person per day (there are four people in the family). They will drive about 3,300 miles. Their vehicle
gets about 15 miles per gallon, and they estimate gas will cost an average of $1.89 per gallon. They want to allow $60
per day for entertainment. What total amount should they budget for their trip?
Lodging: 14 nights $85 =
$1,190.00
Meals:
Cost per day: 4 people $24 per day = $96
Cost for 15 days: $96 per day 15 days =
1,440.00
Gas:
Gallons required: 3,300 miles ÷ 15 miles per gallon = 220 gallons
Cost of gas: 220 gallons $1.89 per gallon
415.80
Entertainment: 15 days $60 =
+ 900.00
Total budget
$3,945.80
22
Chapter 1 Whole Numbers and Decimals
Practice Test
1. Change the number “87,022.35” to words.
Eighty-seven thousand, twenty-two and thirty-five hundredths
2. Change “three hundred and eighty-four thousandths” to a number.
3. Change 26.1 billion to a regular number.
4. Round 618.7665 to the nearest hundredth.
26.1 billion
618.7665
5. Round $28,958 to the nearest hundred dollars.
6. Find the sum: 2,384 + 818 + 73
7. Find the difference: 155 - 29
8. Multiply: 2,300 140
$28,958
300.084
26,1
26,100,000,000
618.77
$29,000
3,275
126
322,000
9. Divide: 2,841.02 22.3
127.4
10. You are buying some treats at the baseball game: a hot dog for $3.75, peanuts for $4.75, and a soda for $2.25.
Estimate the total by rounding each amount to the nearest dollar.
$4 + $5 + $2 = $11
11. You buy a car for $22,400 and the dealer gives you a $4,200 trade-in on your old car. You must pay sales tax of
$1,228.50 and a registration fee of $135. What amount will you owe the dealer?
$22,400 - $4,200 + $1,228.50 + $135 = $19,563.50
12. You own three adjoining parcels of land: 112 acres, 84.625 acres, and .82 acres. What is the total acreage?
112 acres + 84.625 acres + .82 acres = 197.445 acres
13. If carpet costs $21.25 per square yard, pad costs $4.65 per square yard, and installation costs $4 per square yard,
what is the total cost of 182.5 square yards?
Carpet
$21.25
Pad
4.65
Installation
4.00
Total cost per sq yd
$29.90 182.5 sq yd = $5,456.75
14. Your auto mileage was 12,852.6 at the beginning of a trip and 13,904.2 at the end of the trip. You used 53.82 gallons of gas. Use the following word problem guide to determine how many miles per gallon (mpg), rounded to the
nearest tenth, you got on the trip.
word problem guide
1. Solving for
Miles per gallon
2. Known facts
Traveled 1,051.6 miles (13,904.2 miles - 12,852.6 miles = 1,051.6 miles)
Used 53.82 gallons of gas
3. Procedure
Miles per gallon means “miles divided by gallons,” so
1,051.6 miles ÷ 53.82 gallons = 19.5 mpg
Practice Test
23