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119
Vocabulary • Decimals
Match each number on the left with its correct description on the
right. Write the letter of the description next to the correct number.
1
1. 2
2
a. fraction
2. 2.50
b. whole number
3. .025
c. decimal
4. 25
d. mixed decimal
25
5. 100
e. mixed number
6. Tell the place to which each decimal was rounded. Choose
from the words in the box.
whole number
tenth
hundredth
a. If 8.635 rounds to 8.6, it was rounded to the nearest
.
b. If 8.635 rounds to 8.64, it was rounded to the nearest
c. If 8.635 rounds to 9, it was rounded to the nearest
.
.
7. Circle the digits that match the word to the left of each list.
hundredths place
thousandths place
96.00 43.001 2.265
.0046 1.200 43.565
8. Write if each statement is True or False. If it is false, change
the underlined word to make it true.
a. A comma is the dot in a decimal.
b. A mixed fraction contains a whole number and a decimal.
c. A number that names part of a whole number is a decimal.
d. Fraction places are to the right of a decimal point.
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Chapter 10 • Resources
119
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CHAPTER 10
Review • Reading and Writing Decimals
120
Lesson 10.2
The place-value chart
can help you to read
and write decimals.
s
ds
an dred
s
ou un ens
h
th
t
5
2
hs
dt
s
int
n
s
h
o
a
h
p
dt
dt
us
al s
re usan tho
m
d
h
s
i
t
n
e
c
o
on
ten
th
de ten hu
.
6
1
3
fifty-two and six hundred thirteen thousandths
Write each decimal in words.
1. 327.5
2. 47.061
3. 3.376
Write each number as a decimal.
4. sixteen thousandths
5. nine tenths
6. six and four hundredths
7. fourteen and five tenths
8. three hundred seven thousandths
9. thirty-six and forty-seven thousandths
120
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CHAPTER 10
121
Review • Adding Decimals
Lesson 10.5
When you add decimals, you need to line up the decimal points.
Remember to write zeros, if needed.
1
Add. 2.75 .3
2.75
.30
3.05
Add. The decimal points have been lined up for you.
1. 4.53 1.8
4.53
1.80
2. 8 .01
8.00
.01
3. 23.5 7.39
23.50
7.39
4. 14.98 .4
14.98
.40
5. 12.09 4.84 5
12.09
4.84
5.00
6. 25.05 3.082 12
25.050
3.082
12.000
Add. Be sure to line up the decimal points.
7. 4.54 6.3 8. 3.85 2.8 9. 6.9 .45 10. 18.9 2.12 11. 37.09 12 .958 12. 69.5 8.9 31.6 Pacemaker® Interactive Classroom Resources CD-ROM for Basic Mathematics
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Chapter 10 • Resources
121
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CHAPTER 10
122
Review • Subtracting Decimals
Lesson 10.6
When you subtract decimals, you need to line up the decimal points.
Remember to write zeros, if needed.
Subtract. 76.39 8.2
Subtract. 43 9.763
6 16
76.39
8.20
68.19
12
3 2 9910
43.000
9.763
33.237
Subtract. The decimal points have been lined up for you.
1. 6.39 .36
6.39
.36
2. $14 $1.70
$14.00
1.70
3. 64.05 27.3
64.05
27.30
4. 139.7 26.2
139.7
26.2
5. $64.23 $48.39
$64.23
48.39
6. 6.098 .23
6.098
.230
Subtract. Be sure to line up the decimal points.
7. $14.60 $2.50 9. 48.127 9.5 11. 5.079 .68 122
Chapter 10 • Resources
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123
Review • Multiplying Decimals
Lesson 10.7
Add the number of decimal places in the factors to find the number of decimal
places in the product.
Multiply. 3.1.03
3.1
.03
.093
1 decimal place
2 decimal places
3 decimal places
Write a zero.
Multiply.
1.
2.36
.37
2.
.52
.62
3.
.74
.9
4.
6.39
1.8
5.
4.7
.23
6.
6.25
.87
7.
438.9
2.63
8.
9.19
.54
9. 4.2 .68 10. 2.017 32 11. 9.675 .03 12. $92.35 27 Pacemaker® Interactive Classroom Resources CD-ROM for Basic Mathematics
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Chapter 10 • Resources
123
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Review • Dividing Decimals
by Whole Numbers
CHAPTER 10
124
Lesson 10.9
Place the decimal points in the quotient above the decimal in the dividend.
If the decimal quotient has a repeating pattern, draw a bar over this pattern.
Divide.
.106
42
.44
4
024
24
0
.07575
332
.5
0
0
0
0
2 31
190
165
250
231
190
165
25
.07
5
Place a decimal point in each quotient. Write zeros, if needed.
3
1. 82
.4
25
2. 51
.2
5
8
3. 75
.06
7
4. 251
7
.5
Divide. Place the decimal point in the quotient. Write zeros,
if needed.
5. 68
.1
9. 162
7
.2
6. 42
8
.4
7. 85
.6
8. 96
.03
10. 231
2
.4
2
11. 121
.0
8
12. 269
.58
Divide. Draw a bar over the repeating part of the quotient.
13. 60
.1
124
Chapter 10 • Resources
14. 115
.6
15. 36
.2
6
16. 95
.1
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Review • Dividing Decimals by Decimals
Lesson 10.10
When you divide decimals, move the decimal points so that the divisor
becomes a whole number. Add zeros to the dividend if needed.
Divide.
3.61
8
.9
8
5.272
5.2722
361
8
9
.8
0
0
0
180
98
72
260
252
80
72
80
72
8
Rewrite each problem to make the divisor a whole number.
The first one has been done for you. Then divide.
1. .62
.1
2. 1.42
.8
3. .056
.02
5
4. .0116
.6
6. .10
.07
7. .046
2
.5
8. .320
.58
8
6.1
.2
5. .86
.4
Divide. The decimal part of some quotients will repeat.
9. .031
.6
1
10. .157
.48
11. 2.64
.5
5
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.06
Chapter 10 • Resources
125
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Date
Practice • Comparing and
Ordering Decimals
CHAPTER 10
126
Lessons 10.3–10.4
Compare each pair of numbers. Use <, >, or .
1. 26.59
26.519
2. 2.6
2.06
3. .17
5. 28.19
2.9
6. .07
.07
7. .4
9. 7.6
7.61
10. 11.59
.017
.14
11.059 11. 4.01
4.001
4. 38.9
380
8. .326
.37
12. 6.079
6.079
Write each set of decimals in order from largest to smallest.
13. .003
16. 7.8
19. .898
.03
.8
.3
2.6
.89
.9
14. .52
.48
17. 6.18
.8
6.8
20. 4.005
4.05
15. .09
.11
.7
6.018
18. .84
.6
.59
4.5
21. 9.5
7.9
9.495
Problem Solving
Solve each problem. Show your work.
22. Balance scales use gram weights to find
the weight of an item. The weights are
kept in a rack in order from the
largest weight to the smallest weight.
Order the following weights: .5 gram,
1 gram, .75 gram, and .1 gram.
126
Chapter 10 • Resources
23. Four people ran in the 50-yard
dash. Their times follow: 6.035 seconds,
6.09 seconds, 6.091 seconds, and
6.03 seconds. What was the third-place
time?
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CHAPTER 10
127
Practice • Adding Decimals
Lesson 10.5
Add.
1.
8.2
1.5
2.
7.52
4.37
3.
4.6
2.8
4.
$7.28
3.42
5.
$.90
.40
6.
23.760
8.201
7.
1.086
4.340
8.
45.38
33.49
9. 5 .2 98.09
10. 5.82 63.4 17 11. $18.21 $1.15 $3.75 Problem Solving
Solve each problem. Show your work.
12. At the store, April buys bananas for
$1.39, pears for $.79, and melon for
$2.65. How much does she spend?
13. It rains .55 inch on Friday, 1.8
inches on Saturday, and .4 inch
on Sunday. What is the total rainfall
for the three days?
14. Brian works a few hours after school.
He earns $8.25 on Monday, $13.75
on Tuesday, and $16.50 on Friday.
How much does he earn in all?
15. The Klines have triplets. Erin
weighs 4.75 pounds, Pat weighs
5.3125 pounds, and Mary weighs
3.875 pounds. How much do the
triplets weigh altogether?
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CHAPTER 10
128
Practice • Subtracting Decimals
Lesson 10.6
Subtract.
1.
.97
.50
2.
8.90
1.99
3.
$9.28
4.34
4.
5.150
.967
5.
5.7
.5
6.
$10.60
3.42
7.
3.4
.8
8.
32.064
1.201
9. 60.2 .88 10. $101.59 $88.65 11. $10 $.79 12. 101.69 55.9 Problem Solving
Solve each problem. Show your work.
13. On Monday, it snowed 1.15 inches.
On Tuesday, it snowed 1.256 inches.
How much more snow fell on Tuesday?
14. Last year, the total rainfall was
95.09 inches. The year before it
was 84.9 inches. How much more
rain fell last year?
15. Doug spends $4.25 on apples.
He gives the cashier a $20.00 bill.
How much change does he get back?
16. This Friday, Stella received a paycheck
for $1,097.69. She needs to use this
money to pay her rent, which costs
$655. How much money will she have
left after she pays her rent?
128
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CHAPTER 10
129
Practice • Multiplying Decimals
Lesson 10.7
Multiply.
1.
8.42
.14
2.
.39
.09
3.
.96
.8
4.
4.78
2.6
5.
6.8
.33
6.
3.99
.47
7.
427.6
6.15
8.
6.14
1.09
9. 6.039 28 10. $2.79 18 11. $14.32 27 12. 48.4 .016 Problem Solving
Jay joined a book club. During a special sale, every book costs
$5.99. The shipping on each book is $1.19. Solve the problems
using this information.
13. How much would 5 books cost? Do not include shipping.
14. How much would the shipping for 5 books cost?
15. What is the total cost of 5 books, including shipping?
16. What is the total cost of 8 books, including shipping?
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129
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CHAPTER 10
Practice • Dividing Decimals
130
Lessons 10.9–10.10
Divide.
1. 6
4.2
2. 82
.7
3. 95
.04
4. 7
2.1
5. 163
.6
8
6. 155
.4
7. 211
.4
7
8. 186
4
.8
10. .62
.7
11. .081
.7
6
12. 6.82
5
.1
6
14. 1.50
.07
15. 6.33
3
.6
16. 3.25
.04
4
9. .32
.4
13. .482
.3
7
Problem Solving
Solve each problem. Show your work.
17. A charity sold 250 tickets for a circus.
The charity collected $2,187.50 from
the sale of the tickets. How much
did each ticket cost?
130
Chapter 10 • Resources
18. Harold made a long-distance call that
cost $5.12. The phone company
charges $.16 per minute. How long was
Harold’s call?
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Practice • Problem Solving:
Multipart Decimal Problems
CHAPTER 10
131
Lesson 10.12
READ the problem. Make a PLAN. DO the plan to solve
the problem.
1. Calvin ran 3.5 miles every day Monday through Friday. On
Saturday, he ran 5.7 miles. How many total miles did Calvin run
in the six days?
2. Bianca’s puppy weighed 3.2 pounds when she was 6 weeks old.
At 9 weeks old, her puppy weighed 4.7 pounds. If it gained the
same amount of weight each week, how much weight did her
puppy gain in one week?
3. Gustavo, Brian, and Raheem ran the 400-yard dash. Gustavo ran
the race in 97 seconds. Brian took 1.65 seconds less time than
Gustavo. Raheem took 1.15 seconds longer than Brian. How long
did it take Raheem to run the 400-yard dash?
4. Dalia bought 3 pencils that cost $.79 each, 1 pen that cost $1.19,
and two folders that cost $.29 for two. How much change did she
receive from $10?
5. Mrs. Green’s students want to buy her a present that costs $35.
Each student has given $1.25 toward the present. There are 30
students in the class. Have the students collected too much or
too little money?
6. Raphael bought 3 pounds of hamburger meat that cost $1.89 per
pound. He also bought 4 packages of hamburger buns that cost
$1.39 per package. What was the total cost?
7. All the fabric at a craft store costs the same price per yard.
Margaret bought 2.75 yards of blue fabric and 5.25 yards of red
fabric. Her cost for all the fabric was $24.80. How much does
1 yard of fabric cost?
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131
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Mixed Practice • Adding and
Subtracting Decimals
CHAPTER 10
132
Lessons 10.5 –10.6
Add or subtract.
1.
$5.36
4.64
2.
$9.00
8.38
3.
19.220
12.086
4.
21.56
3.49
5.
1.000
.008
6.
8.975
3.030
7.
23.449
15.800
8.
36.342
8.978
9.
.08
7.56
.92
10.
1.058
.342
9.000
11.
$34.75
8.50
15.00
.98
12.
13. 5.83 7 .026 14. 4.036 8.9 15. 64.4 5.025 16. 14.6 7.35 17. $4 $6.25 $.71 18. 9.42 .602 19. .93 2.5 .6 20. $4.23 $2.34 21. 2.96 7.8 31.2 8 22. $14.60 $.96 132
Chapter 10 • Resources
3.450
8.395
.108
5.340
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CHAPTER 10
133
On-The-Job Math • Bank Teller
Lesson 10.8
Look at each bank deposit slip below. Check to see if each was
added correctly. If it is wrong, make it correct.
1.
4 5.9 6
1 3 2.8 6
1 2.8 9
2.
.
Total $
9.9
4 3.3
2 1.4
5 2.7
Total $
2 1.4 8
5 4.9 6
1 1 2.2 0
.
Total $
,1 9 1.7 1
4.
3.
3 5.8 2
4 5.7 3
3 2 8.4 9
1
7
3
4
5.
,2 1 6.6 4
.
Total $
,4 0 9.9 5
,3 3 7.6 4
6.
1 3 2.7 6
1 7 5.0 0
3 4 2.8 9
1 2.6 5
3 2.8 7
5 5.4 1
3.8 7
.
Total $
Total $
,6 5 0.6 5
,1 3 9.6 3
Bank tellers need to keep track of how much money is in their
cash drawers. To do this, they count how many of each bill they
have. They also count how many of each coin they have. Then
they multiply and add.
7. Write how much money is in each cash drawer. Some of the work
has been done for you.
Cash Drawer 1
Number
Cash Drawer 2
Value of
Bill or Coin
5
$100
12
$50
23
Number
5 x $100=
12 x $50=
Value of
Bill or Coin
3
$100
15
$50
$20
8
$20
11
$10
32
$10
17
$5
12
$5
35
$1
25
$1
31
$.25
40
$.25
53
$.10
68
$.10
39
$.05
71
$.05
81
$.01
102
$.01
31 x $.25=
Total Cash
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Total Cash
Chapter 10 • Resources
133
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Date
CHAPTER 10
134
Challenge • Pack It Up
Lessons 10.5–10.7
You are going on a two-day camping trip. You have to carry all of
your food for five meals and snacks. Pick the food items from the
list that you would want to bring. You can bring more than one of
each item. The total weight cannot be more than 2.5 kilograms.
Food Item
apple
bag of trail mix
energy bar
freeze-dried macaroni
freeze-dried chili
kilograms
.15 kg
.25 kg
.06 kg
.1 kg
.1 kg
Food Item
can of chicken noodle soup
jar of peanut butter
can of ravioli
box of crackers
bag of candy
kilograms
.45 kg
.68 kg
.6 kg
.34 kg
.8 kg
Make a list of the items you want to bring and their weights.
Remember that you can bring more than one of any item. List
each item on its own line. Keep track of your subtotal as you go.
Make more lines if you need them.
Item
Weight
Subtotal
total kilograms
134
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CHAPTER 10
135
Chapter 10 Test A • Decimals
Fill in each blank with the correct place-value name.
1. The decimal .99 means 99
.
2. The decimal .9099 means 9,099
.
3. Write the following number as a decimal.
fifteen and twenty-four thousandths
Compare each pair of numbers. Use <, >, or .
4. .091
.105
5. 1.2
.865
Add or subtract.
6. 2.54 8.35 7. 3.12 3.2 .324 8. 319 24.6 9. 9.354 3.2 Multiply or divide.
10. 365.7 3.24 11. 7.512 100 12. 40.01 1.2 13. 23.54 100 Solve. Show your work.
14. You want to buy a CD for $11.98 and a tape for $8.56. Is $20 enough?
Rename each decimal as a fraction. Reduce the fraction to
lowest terms.
15. .25
16. .8
17. .375
Rename each fraction as a decimal.
7
18. 8
3
19. 5
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20. 20
Chapter 10 • Resources
135
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Date
CHAPTER 10
136
Chapter 10 Test B • Decimals
Fill in each blank with the correct place-value name.
1. The decimal .08 means 8
.
2. The decimal .808 means 808
.
3. Write the following number as a decimal.
twenty-one and thirteen hundredths
Compare each pair of numbers. Use <, >, or .
4. .216
.261
5. 3.6
.789
Add or subtract.
6. 3.45 9.81 7. 4.29 6.7 .975 8. 436 47.3 9. 4.179 1.3 Multiply or divide.
10. 692.1 4.37 11. 8.937 10 12. 3.18 2.2 13. 36.98 100 Solve. Show your work.
14. Angel has $15. Is this enough money to buy gloves for $5.99 and
a hat for $8.65?
Rename each decimal as a fraction. Reduce the fraction to
lowest terms.
15. .5
16. .75
17. .9
Rename each fraction as a decimal.
1
18. 8
136
Chapter 10 • Resources
4
19. 5
3
20. 10
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Answer Key
UNIT 3 OTHER TYPES OF NUMBERS
Chapter 10 Decimals
119 Vocabulary • Decimals
1. e 2. d 3. c 4. b 5. a 6.
b. hundredth c. whole number
2.265; .0046, 1.200, 43.565 8.
b. False; mixed decimal c. True
places
a. tenth
7. 96.00, 43.001,
a. False; period
d. False; decimal
120 Review • Reading and Writing Decimals
1. three hundred twenty-seven and five tenths
2. forty-seven and sixty-one thousandths 3. three
and three hundred seventy-six thousandths 4. .016
5. .9 6. 6.04 7. 14.5 8. .307 9. 36.047
121 Review • Adding Decimals
1. 6.33 2. 8.01 3. 30.89 4. 15.38 5. 21.93
6. 40.132 7. 10.84 8. 6.65 9. 7.35 10. 21.02
11. 50.048 12. 110
122 Review • Subtracting Decimals
1. 6.03 2. $12.30 3. 36.75 4. 113.5 5. $15.84
6. 5.868 7. $12.10 8. .137 9. 38.627 10. $56.20
11. 4.399 12. 6.865
123 Review • Multiplying Decimals
1. .8732 2. .3224 3. .666 4. 11.502 5. 1.081
6. 5.4375 7. 1,154.307 8. 4.9626 9. 2.856
10. 64.544 11. .29025 12. $2,493.45
124 Review • Dividing Decimals by
Whole Numbers
1. .3 2. .25 3. .008 4. .7 5. .03 6. 7.1 7. .7
8. .007 9. 1.7 10. .54 11. .09 12. .023 13. .016
–
–
–
14. .509 15. 2.086 16. .56
125 Review • Dividing Decimals by Decimals
.2
——
1. 6.)1.2
2
1.25
——
—–—
2. 14.)28. 3. 5.)6.25
. 600
——–
4. 11.)6600
.—–—
8
.07
1562.5
1.59
–—
——
——
—–
8. 32.)50.88
5. 8.)64 6. 1.).07 7. 4.)6250
–
–
–
9. 53.6 10. 3.186 11. 1.75 12. .145
126 Practice • Comparing and
Ordering Decimals
1. > 2. > 3. > 4. < 5. > 6. = 7. > 8. < 9. <
10. > 11. > 12. = 13. .3, .03, .003 14. .8, .52, .48
15. .7, .11, .09 16. 7.8, 2.6, .8 17. 6.8, 6.18, 6.018
18. .84, .6, .59 19. .9, .898, .89 20. 4.5, 4.05, 4.005
21. 9.5, 9.495, 7.9 22. 1 gram, .75 gram, .5 gram,
.1 gram 23. 6.09 seconds
128 Practice • Adding Decimals;
Subtracting Decimals
1. .47 2. 6.91 3. $4.94 4. 4.183 5. 59.32
6. $7.18 7. 2.6 8. 30.863 9. 59.32 10. $12.94
11. $9.21 12. 45.79 13. .106 14. 10.19
15. $15.75 16. $442.69
129 Practice • Multiplying Decimals
1. 1.1788
6. 1.8753
10. $50.22
14. $5.95
2. .0351 3. .768 4. 12.428 5. 2.244
7. 2,629.74 8. 6.6926 9. 169.092
11. $386.64 12. .7744 13. $29.95
15. $35.90 16. $57.44
130 Practice • Dividing Decimals
1. .7 2. .09 3. .006 4. .3 5. .23 6. .36 7. .07 8. 3.6
–
9. 8 10. 1.2 11. 22 12. 3.7 13. 4.9375 14. .0046
–
15. 5.3 16. 0.017 17. $8.75 18. 32 minutes
131 Practice • Problem Solving:
Multipart Decimal Problems
1. 23.2 miles 2. .5 pound 3. 96.5 seconds
4. $6.15 5. too much 6. $11.23 7. $3.10 per yard
132 Mixed Practice • Adding and
Subtracting Decimals
1. $10.00 2. $.62 3. 7.134 4. 25.05 5. .992
6. 12.005 7. 7.649 8. 45.320 9. 8.56 10. 10.400
11. $59.23 12. 17.293 13. 12.856 14. 12.936
15. 59.375 16. 7.25 17. $10.96 18. 8.818
19. 4.03 20. $1.89 21. 49.96 22. $13.64
133 On-the-Job Math • Bank Teller
1. correct 2. 410.04 3. 188.64 4. 127.45
5. correct 6. 104.80 7. $1,805.81 8. $1,636.37
134 Challenge • Pack It Up
Answers will vary. Check to be sure the total weight is
less than 2.5 kilograms.
135 Chapter 10 Test A • Decimals
1. hundredths 2. ten thousandths 3. 15.024 4. <
5. > 6. 10.89 7. 6.644 8. 294.4 9. 6.154
–
10. 1,184.868 11. 751.2 12. 33.3416 13. .2354
14. $11.98$8.56$20.54; No, since $20.54 > $20.00
1
4
3
16. 17. 18. .875 19. .6 20. .55
15. 4
5
8
136 Chapter 10 Test B • Decimals
1. hundredths 2. thousandths 3. 21.13 4. < 5. >
6. 13.26 7. 11.965 8. 388.7 9. 2.879
10. 3,024.477 11. 89.37 12. 1.445 13. .3698
14. $5.99$8.65$14.64; Yes, since $14.64 < $15.00
9
1
3
16. 17. 18. .125 19. .8 20. .3
15. 2
10
4
127 Practice • Adding Decimals
1. 9.7 2. 11.89 3. 7.4 4. $10.70 5. $1.30
6. 31.961 7. 5.426 8. 78.87 9. 103.29 10. 86.22
11. $23.11 12. $4.83 13. 2.75 inches 14. $38.50
15. 13.9375 pounds
Pacemaker ® Interactive Classroom Resources CD-ROM for Basic Mathematics
© by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved.
Answer Key