Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use your estimation skills to pick the most reasonable answer. Do not solve the problem.
1)
5–3.95
1)
A)
0.0105
B)
1.05
C)
0.105
2)
141.06 –94.8064
2)
A)
4.62536
B)
462.536
C)
46.2536
3)
701.87 –0.7
3)
A)
0.70117
B)
701.17
C)
7.0117
4)
7–6.118
4)
A)
0.0882
B)
8.82
C)
0.882
5)
5.8 +0.005
5)
A)
0.5805
B)
58.05
C)
5.805
6)
188.76 +61.0096
6)
A)
249.7696
B)
24.97696
C)
2497.696
1
7)
4197.566 –39.5761
7)
A)
415.79899
B)
41.579899
C)
4157.9899
8)
9.6 –0.05
8)
A)
95.5
B)
0.955
C)
9.55
9)
6.3 –0.009
9)
A)
0.6291
B)
6.291
C)
0.06291
10)
396.73 –394.81
10)
A)
1.92
B)
192
C)
19.2
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
11)
Explain what happens when you round 0.0049 to the hundredths place.
11)
12)
What is the rule for dividing a decimal number by 0.0001?
12)
13)
What is wrong with the following problem? Explain and correct the error.
35
8=8
0.625
5.000
–4 8
20
–16
40
–40
0
13)
14)
Explain the difference between saying “Subtract 2.7 from 5.7” and saying “2.7 minus 5.7.”
14)
15)
Explain what happens when you round $2.49 to the nearest ones place.
15)
16)
What is the rule for multiplying a decimal number by 100?
16)
17)
Explain the difference between saying “2.9 from 6.5” and saying “2.9 less 6.5.”
17)
18)
What is wrong with adding decimal numbers in the following example?
25 + 0.42 = 0.67
18)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Simplify by using the order of operations. Round your answer to the nearest hundredth, if necessary.
19)
9.33 ÷7.53 ·7.09
19)
A)
0.17
B)
23.95
C)
9.91
D)
8.78
Multiply.
20)
×
0.014
1.8
20)
A)
0
B)
1.814
C)
1
D)
0.0252
Write the decimal as a fraction or mixed number in lowest terms.
21)
15.22
21)
A)
1261
500
B)
1521
5
C)
1522
D)
15 11
50
Decide if the answer is reasonable or unreasonable by rounding the numbers and estimating the answer. If the answer is
not reasonable, find the correct answer.
22)
34.1 ÷ 4 =85.25
22)
A)
Unreasonable, should be 8.525
B)
Reasonable
C)
Unreasonable, should be 0.08525
D)
Unreasonable, should be 0.8525
Divide.
23)
55.25
23)
A)
1.05
B)
10.5
C)
2.05
D)
20.5
Use front–end rounding to round each number. Then, add or subtract the rounded numbers to get an estimated answer.
Finally, find the exact answer.
24)
estimate exact
–
$36.71
– 2.17
24)
A)
Estimate: $38; exact: $34.66
B)
Estimate: $38; exact: $34.64
C)
Estimate: $38; exact: $34.54
D)
Estimate: $36; exact: $34.64
Multiply.
25)
(0.806)(0.08)
25)
A)
0.0006448
B)
0.06448
C)
6.448
D)
0.006448
B
Write the decimal as a fraction or mixed number in lowest terms.
26)
68.660
26)
A)
68 33
50
B)
13 183
250
C)
68.660
100
D)
68.660
1000
A
C
The table shows Jose’s expenses for one month. Use the table to answer the question.
27)
Compare the amounts Jose spent on food and on entertainment. What is the difference?
Monthly Expenses
Rent $552
Food $193
Car repairs, gas $95.39
Utilities $52.11
Phone $57.95
Rock climbing gear $176.13
Rock climbing lessons $241
Entertainment $62.45
27)
A)
3.09
B)
255.45
C)
131.55
D)
130.55
Even with most of the problem missing, it is possible to tell whether a suggested answer is reasonable. Determine
whether the answer given is reasonable. If it is unreasonable, move the decimal point or insert a decimal point to make
the answer reasonable.
28)
How tall is the child? 54 inches
28)
A)
Unreasonable, should be 5.4 inches
B)
Reasonable
C)
Unreasonable, should be 540 inches
D)
Unreasonable, should be 0.54 inches
Write the decimal number that has the specified place values.
29)
8 tenths, 7 ten–thousandths, 4 hundredths, 3 hundreds
29)
A)
300.8407
B)
300.847
C)
3.8407
D)
400.8307
Arrange the group of numbers in order, from least to greatest.
30)
0.072, 0.027, 0.022, 0.077
30)
A)
0.022, 0.072, 0.027, 0.077
B)
0.022, 0.027, 0.072, 0.077
C)
0.077, 0.072, 0.027, 0.022
D)
0.022, 0.077, 0.027, 0.072
Use the table of record trout lengths at Yosemite Lake to answer the question. To find the average, add up the values you
are interested in and then divide the sum by the number of values. Round your answer to the nearest tenth.
31)
Day Trout length
Mon 10.1 in.
Tue 11.4 in.
Wed 14.6 in.
Thu 15.3 in.
Fri 9.7 in.
Sat 14.0 in.
Sun 12.2 in.
Find the average length of record trout caught on Monday, Wednesday, and Friday.
31)
A)
8.6 in.
B)
11.5 in.
C)
11.9 in.
D)
12.4 in.
Find the difference.
32)
18.952 – 13.455
32)
A)
5.497
B)
5.597
C)
32.407
D)
5.697
Arrange the group of numbers in order, from least to greatest.
33)
0.05, 0.02, 0.025, 0.052
33)
A)
0.02, 0.05, 0.025, 0.052
B)
0.02, 0.025, 0.05, 0.052
C)
0.052, 0.025, 0.05, 0.02
D)
0.025, 0.052, 0.02, 0.05
Write the decimal number that has the specified place values.
34)
4 tens, 8 hundredths, 2 ones, 4 ten–thousandths, 1 thousandth, 5 tenths
34)
A)
42.5814
B)
52.4814
C)
42.05814
D)
1,042.584
Multiply.
35)
0.007 ·0.53
35)
A)
0.0000371
B)
0.371
C)
0.00371
D)
0.000371
Write the decimal in numbers.
36)
Six hundred nine and four thousandths
36)
A)
609.04
B)
609.004
C)
600.940
D)
600.904
Solve the problem.
37)
Sue has taken four exams so far in her History course. His scores are 92.4, 78.2, 93, and 87.5. What is
the average of these scores?
37)
A)
89.975
B)
86.375
C)
87.775
D)
87.925
Multiply.
38)
0.04
×0.09
38)
A)
0.0036
B)
0.000036
C)
0.36
D)
0.036
Find the sum.
39)
95.86 + 2 + 76.2 + 30.076
39)
A)
204.136
B)
204.146
C)
204.236
D)
205.136
8
Write the decimal as a fraction or mixed number in lowest terms.
40)
0.5
40)
A)
5
10
B)
1
2
C)
1
10
D)
5
100
Round the number to the place indicated.
41)
Round to the nearest hundredth: 11.48867
41)
A)
11.50
B)
11.4887
C)
11.489
D)
11.49
Write the decimal as a fraction or mixed number in lowest terms.
42)
0.77
42)
A)
77
10
B)
1
592,900
C)
1
770
D)
77
100
Use the table of record trout lengths at Yosemite Lake to answer the question. To find the average, add up the values you
are interested in and then divide the sum by the number of values. Round your answer to the nearest tenth.
43)
Day Trout length
Mon 14.62 in.
Tue 14.38 in.
Wed 14.52 in.
Thu 14.16 in.
Fri 12.89 in.
Sat 13.03 in.
Sun 13.23 in.
Find the average length of record trout caught during the weekend.
43)
A)
13.2 in.
B)
10.1 in.
C)
26.3 in.
D)
3.8 in.
Multiply.
44)
×
261
0.331
44)
A)
86.502
B)
86.391
C)
86.501
D)
86.491
Change the measurements on this scale drawing to decimals and round them to the nearest tenth of an inch.
45)
a 4 11
16 in. b7
16 in. c7
16 in. d5
8 in. e 2 5
8 in.
length a is:
45)
A)
4.6 in.
B)
4.5 in.
C)
4.8 in.
D)
4.7 in.
Perform the indicated operation and round as indicated.
46)
841.47 ÷0.05 thousandths
46)
A)
1682.940
B)
16,829.400
C)
16,829.900
D)
1682.990
Solve the problem.
47)
Suppose your job is to take phone orders for automotive parts. Use the table below to answer the
following questions. Write the correct part number that matches what you hear the customer say on
the phone.
Part
Number
Size in
inches
A
B
C
D
E
F
G
H
I
0.9
0.09
0.93
1.9
1.93
1.03
1.09
0.39
0.009
“Can you rush me the 9–thousandth inch size?”
47)
A)
A
B)
B
C)
G
D)
I
48)
Alan’s yard is rectangular and measures 19.7 meters by 16.8 meters. Maria‘s yard is rectangular and
measures 34.7 meters by 49.1 meters. How much greater is the area of Maria’s yard than the area of
Alan‘s yard?
48)
A)
2034.73 m2
B)
47.3 m2
C)
13,728.1 m2
D)
1372.81 m2
Write the decimal as a fraction or mixed number in lowest terms.
49)
1.01
49)
A)
1
1000
B)
1
100
C)
1
D)
11
100
First, use front–end rounding to round each number and estimate the answer. Then, find the exact answer.
50)
Juan is taking a road to Calistoga. He has already driven 65.13 kilometers. If the entire distance to
Calistoga is 142 kilometers, how much further must Juan drive?
50)
A)
Estimate: 40 kilometers; exact: 77.87 kilometers
B)
Estimate: 40 kilometers; exact: 76.97 kilometers
C)
Estimate: 40 kilometers; exact: 76.87 kilometers
D)
Estimate: 50 kilometers; exact: 86.87 kilometers
Perform the indicated operation and round as indicated.
51)
185.09 ÷2.7 hundredths
51)
A)
6.91
B)
6.86
C)
69.05
D)
68.55
Write the fraction or mixed number as a decimal. Round to the nearest thousandth if necessary.
52)
170
199
52)
A)
1.171
B)
0.085
C)
8.54
D)
0.854
Solve the problem.
53)
Jessie has a ribbon that is 4.5 yards long. He wants to cut it into pieces that are 0.3 yards long. How
many 0.3–yard pieces will he get from the ribbon?
53)
A)
14 pieces
B)
16 pieces
C)
15 pieces
D)
150 pieces
Divide.
54)
1.2 ÷0.03
54)
A)
4
B)
0.04
C)
0.4
D)
40
12
Identify the digit with the given place value.
55)
394.825
thousandths
55)
A)
300
B)
0.005
C)
9
D)
5
Solve the problem.
56)
A grocer sold 82 bags of potatoes for $0.74 each. What was the total amount of the sale?
56)
A)
$61.78
B)
$60.78
C)
$60.68
D)
$60.69
Use the table of record trout lengths at Yosemite Lake to answer the question. To find the average, add up the values you
are interested in and then divide the sum by the number of values. Round your answer to the nearest tenth.
57)
Day Trout length
Mon 11.8 in.
Tue 11.6 in.
Wed 14.1 in.
Thu 16.8 in.
Fri 10.8 in.
Sat 15.2 in.
Sun 11.8 in.
Find the average length of record trout caught on a holiday weekend (Saturday, Sunday, Monday).
57)
A)
12.9 in.
B)
13.5 in.
C)
12.6 in.
D)
9.7 in.
Identify the digit with the given place value.
58)
425.376
ones
58)
A)
5
B)
20
C)
7
D)
0.3
Round the money amount to the specified place.
59)
$99.51 to the nearest dollar
59)
A)
$90
B)
$100
C)
$99.60
D)
$0
Simplify by using the order of operations. Round your answer to the nearest hundredth, if necessary.
60)
6.02+ 2.72
60)
A)
17.4
B)
34.8
C)
75.69
D)
43.29
Change the measurements on this scale drawing to decimals and round them to the nearest tenth of an inch.
61)
a 4 13
16 in. b3
16 in. c11
16 in. d3
8 in. e 2 3
8 in.
length d is:
61)
A)
0.5 in.
B)
0.4 in.
C)
0.6 in.
D)
0.7 in.
First, use front–end rounding to round each number and estimate the answer. Then, find the exact answer.
62)
Julia bought a dress originally costing $95.53. When she brought the dress to the counter, the agent
told her that it was discounted $9.55. What is the sales price for the dress?
62)
A)
Estimate: $90; exact: $85.53
B)
Estimate: $90; exact: $85.98
C)
Estimate: $90; exact: $75.98
D)
Estimate: $10; exact: $9.55
Find the difference.
63)
8.01 – 4.037
63)
A)
4.073
B)
3.973
C)
13.047
D)
12.047
Write the decimal point in the correct location.
64)
476.35 ×10 =476350
64)
A)
476,350.
B)
47,635.0
C)
4763.50
D)
476.350
Simplify by using the order of operations. Round your answer to the nearest hundredth, if necessary.
65)
41.6 – 5.5 ÷9.3 ·49
65)
A)
0.08
B)
12.62
C)
2009.42
D)
190.20
Arrange the group of numbers in order, from least to greatest.
66)
69
11 , 6.91, 6.091, 29
10
66)
A)
6.91, 69
11 , 6.091, 29
10
B)
6.091, 69
11 , 6.91, 29
10
C)
29
10 , 6.091, 69
11 , 6.91
D)
29
10 , 6.91, 6.091, 69
11
Find the difference.
67)
9614.31 –3.288
67)
A)
9611.022
B)
9582.43
C)
9581.43
D)
9612.02
Identify the digit with the given place value.
68)
11,121.5
ones
68)
A)
5
B)
1
C)
0.1
D)
10
Write the decimal point in the correct location.
69)
1260 ×0.021 =26460
69)
A)
2.6460
B)
26.460
C)
26,460.
D)
264.60
B
Provide an appropriate response.
70)
Write fourteen and seven hundred forty–seven thousandths using numbers.
70)
A)
14,747
B)
14.747
C)
14.0747
D)
0.14747
B
Solve the problem.
71)
Jake has a cable that is 16.5 feet long. He wants to cut it into pieces that are 3.3 feet long. How many
3.3–foot pieces will he get from the cable?
71)
A)
50 pieces
B)
4 pieces
C)
6 pieces
D)
5 pieces
D
Multiply.
72)
(13.48)(0.0012)
72)
A)
0.006176
B)
0.026176
C)
0.016176
D)
0.116176
C
B
Write the decimal in words.
73)
4.83
73)
A)
Four and eighty–three tenths
B)
Four and eighty–three thousandths
C)
Four and eighty–three hundredths
D)
Four and eighty–three millionths
Find the difference.
74)
82 – 0.508
74)
A)
80.992
B)
82.508
C)
81.592
D)
81.492
D
Write the fraction or mixed number as a decimal. Round to the nearest thousandth if necessary.
75)
41
2
75)
A)
2.5
B)
4.5
C)
9
D)
1.5
B
First, use front–end rounding to round each number and estimate the answer. Then, find the exact answer.
76)
Tran’s subtotal at Scramble’s Electronics is $319.15. The sales tax on these items is $24.30. What was
Tran’s total bill?
76)
A)
Estimate: $320; exact: $343.45
B)
Estimate: $300; exact: $343.45
C)
Estimate: $343.45; exact: $343.45
D)
Estimate: $280; exact: $294.85
A
Round the money amount to the specified place.
77)
$4.279 to the nearest cent.
77)
A)
$4.27
B)
$4.3
C)
$4.28
D)
$4
C
C
Multiply.
78)
×
57
0.4
78)
A)
22.91
B)
23.9
C)
57.4
D)
22.8
Write the decimal point in the correct location.
79)
2.26 ×1000 =226000
79)
A)
226,000.
B)
22,600.0
C)
2260.00
D)
226.000
Identify the digit with the given place value.
80)
533,324
thousands
80)
A)
0.003
B)
5
C)
3000
D)
3
Solve the problem.
81)
A car rental company charges $17 per day and $0.35 per mile to rent a car. What is the total bill if a
car is rented for 3 days and is driven 113 miles?
81)
A)
$11.45
B)
$1960.55
C)
$52.05
D)
$90.55