Decimals - Bloomer School District

Chapt
Name:
Date:
er
Decimals
Practice 1 Understanding Tenths
Shade the squares to represent each decimal.
Each square represents 1 whole.
Example
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1.
0.6
0.3
3.
2.
1.8
Write a decimal for each place-value chart.
1.5
4.
Ones
Tenths
5.
Ones
Tenths
6.
Ones
Tenths
7.
Ones
Tenths
Lesson 7.1
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Understanding Tenths
1
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Write the correct decimal in each box.
8.
0
1.0
2.0
3.0
0.4
Mark ✘ to show where each decimal is located on the number line.
Label its value.
9.
1.6
10.
1.8
11.
2.4
0
✘
1.0
2.0
3.0
Write each of these as a decimal.
12.
9 tenths 13.
13 tenths 14.
26 tenths 15.
9 ones and 3 tenths Write each fraction or mixed number as a decimal.
16.
7 10
17.
3 210
18.
41 10
19.
109
10 21.
5.7 23.
48.9 © 2009 Marshall Cavendish International (Singapore) Private Limited
0.9
Write each decimal in tenths.
20.
0.3 22.
26.1 2
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tenths
tenths
tenths
tenths
Chapter 7 Decimals
2/25/09 3:16:43 AM
Name:
Date:
Write a fraction and decimal for each measure.
Example
24.
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Length of screw 7
10
Amount of water cm
0.7
L
cm
L
Write a mixed number and decimal for each measure.
25.
26.
Length of nail cm
cm
Amount of water L
Lesson 7.1
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Understanding Tenths
L
3
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Fill in the blanks.
27.
3.4 3 ones and
28.
5.8 29.
22.1 2 tens 2 ones and
30.
36.7 tenths
ones and 8 tenths
tenth
tens 6 ones and 7 tenths
31.
4.5 32.
23.7 You can write 14.3 in expanded form as 10 + 4 + 0.3.
Complete in the same way.
33.
6.9 34.
35.4 © 2009 Marshall Cavendish International (Singapore) Private Limited
2.
You can write 15.2 in expanded form as 10 + 5 + 10
Complete in the same way.
Fill in the blanks.
35.
Tens
Ones
Tenths
3
4
6
The digit 6 is in the
36.
Tens
Ones
Tenths
5
0
8
The digit 0 is in the
4
G4B_WB_Ch_07.indd 4
place. Its value is
.
place. Its value is
.
Chapter 7 Decimals
2/25/09 3:16:44 AM
Name:
Date:
Practice 2 Understanding Hundredths
Shade the squares to represent each decimal.
Each large square represents 1 whole.
Example
1.
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0.06
0.55
2.
3.
1.05
1.23
Write a decimal for each place-value chart.
4.
Ones
Tenths Hundredths
5.
Ones
Tenths Hundredths
6.
Ones
Tenths Hundredths
7.
Ones
Tenths Hundredths
Lesson 7.2
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Understanding Hundredths
5
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Write the correct decimal in each box.
8.
0
0.1
0.2
0.3
Mark ✘ to show where each decimal is located on the number line.
Label its value.
0.14
10.
0.22
11.
0.27
0.02
0
✘
0.1
0.2
0.3
Write each of these as a decimal.
12.
9 hundredths 13.
23 hundredths 14.
6 tenths 1 hundredth 15.
7 ones and 90 hundredths © 2009 Marshall Cavendish International (Singapore) Private Limited
9.
Write each fraction as a decimal.
16.
5
100 17.
19
100 18.
83
100 19.
70
100 Write each fraction or mixed number as a decimal.
20.
6
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17
3 100 21.
9
18 100 Chapter 7 Decimals
2/25/09 3:16:44 AM
Name:
Date:
Write each fraction or mixed number as a decimal.
22.
233
100 23.
104
100 Write each decimal in hundredths.
24.
0.07 hundredths
25.
2.31 hundredths
26.
1.83 hundredths
27.
5.09 hundredths
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Fill in the blanks.
28.
0.38 29.
2.71 2 ones and 7 tenths
30.
5.09 5 ones and
31.
8.86 8 ones and 8 tenths
tenths 8 hundredths
hundredth
hundredths
hundredths
1 + 3 .
You can write 6.13 in expanded form as 6 + 10
100
Complete in the same way.
32.
5.24 33.
8.96 Lesson 7.2
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Understanding Hundredths
7
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You can write 7.45 in expanded form as 7 + 0.4 + 0.05.
Complete in the same way.
34.
4.31 35.
9.57 Fill in the blanks.
In 0.38, the digit 8 is in the
37.
In 12.67, the digit in the tenths place is
38.
In 3.45, the value of the digit 5 is
39.
In 5.02, the value of the digit 2 is
Write each amount in decimal form.
40.
75 cents $
41.
40 cents $
42.
5 cents $
43.
130 cents $
44.
10 dollars and 25 cents $
45.
28 dollars $
46.
1 dollar and 9 cents $
8
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place.
.
.
hundredths.
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36.
Chapter 7 Decimals
2/25/09 3:16:44 AM
Name:
Date:
Practice 3
Comparing Decimals
Use the number line. Find the number that is described.
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.
0.1 more than 0.2.
2.
0.3 more than 0.5.
3.
0.1 less than 0.6.
4.
0.2 less than 0.9.
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Use the number line. Find the number that is described.
0.1
0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19
0.2
5.
0.01 more than 0.13.
6.
0.04 more than 0.16.
7.
0.01 less than 0.18.
8.
0.05 less than 0.17.
Fill in the missing numbers.
Number 0.1 More Than the Number
9.
4.7
10.
2.05
Number
11.
0.94
12.
3.8
0.1 Less Than the Number
0.01 More Than the Number 0.01 Less Than the Number
Lesson 7.3
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Comparing Decimals
9
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Complete the number patterns. Use the number line to help you.
0
0.5
13.
0.2 0.4 0.6
14.
1.1 0.9 0.7
15.
0.1 0.4
16.
2.0
1.0
1.5
2.0
1.0
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0.8 0.4
Continue the number patterns.
17.
0.03
0.06
0.09
0.03 0.06 0.09
18.
0.16
0.20
0.24
0.24 0.20 0.16
10
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Chapter 7 Decimals
2/25/09 3:16:44 AM
Name:
Date:
Practice 4
Comparing Decimals
Compare the two decimals in each table. Then fill in the blanks.
Example
Ones
0
0
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0.4
1.
Ones
0
0
Tenths
4
3
Hundredths
8
0.38
is greater than
Tenths
8
8
Hundredths
2
is greater than
2.
Ones
0
0
Tenths
3
2
Ones
3
3
Tenths
0
1
.
Hundredths
5
is less than
3.
.
.
Hundredths
9
is less than
.
Lesson 7.3
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Comparing Decimals
11
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Compare. Write < or >.
4.
1.6
6.
0.11
1.8
0.07
5.
0.65
0.55
7.
2.12
2.21
Fill in the blanks with greater than, less than, or equal to.
8.
3.7 is
9.
0.15 is
0.51.
10.
0.20 is
2.05.
11.
2.3 is
2.30.
Circle the greatest decimal and underline the least.
12.
0.5 0.53 0.03
13.
8.7 8.07 8.71
14.
1.03 1.3 0.13
15.
2.35 2.05 3.25
Write the decimals in order from least to greatest.
16.
3.33 3.03 3.30
17.
5.51 5.05 5.15
18.
1.04 0.41 4.10
19.
6.32 3.26 2.63
12
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0.37.
Chapter 7 Decimals
2/25/09 3:16:44 AM
Name:
Date:
Practice 5
Rounding Decimals
Fill in the missing number in each box.
Then round each decimal to the nearest whole number.
Example
12
12.6
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12.6 rounded to the nearest whole number is
13
13
.
1.
36
35.3
35.3 rounded to the nearest whole number is
.
2.
26
25.45
25.45 rounded to the nearest whole number is
.
3.
46
46.56
46.56 rounded to the nearest whole number is
.
Lesson 7.4
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Rounding Decimals
13
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Round each measure.
4.
80.5 cm
Round the height of the table to the nearest centimeter.
80.5
centimeters is about
centimeters.
Round the price of the shampoo to the nearest dollar.
$
is about $
.
6.
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5.
Round the amount of detergent to the nearest liter.
liters is about
liters.
7.
10.3 m
Round the length of the rope to the nearest meter.
meters is about
14
G4B_WB_Ch_07.indd 14
meters.
Chapter 7 Decimals
2/25/09 3:16:44 AM
Name:
Date:
Practice 6
Rounding Decimals
Fill in the missing number in each box.
Then round each decimal to the nearest tenth.
Example
8.2
8.14
8.1
8.1
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8.14 rounded to the nearest tenth is
.
1.
11.1
11.15
11.15 rounded to the nearest tenth is
.
2.
0.9
0.96
0.96 rounded to the nearest tenth is
.
3.
7.53
7.53 rounded to the nearest tenth is
.
Lesson 7.4
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Rounding Decimals
15
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Round each measure.
Ryan’s mass is 44.69 kilograms.
Round his mass to the nearest tenth of a kilogram.
44.69
5.
kilograms is about
Susan’s height is 1.72 meters.
Round her height to the nearest tenth of a meter.
meters is about
6.
miles.
1 inch is equal to 2.54 centimeters.
Round 2.54 to the nearest tenth of a centimeter.
centimeters is about
8.
meters.
The distance between Chong’s home and his school is 5.95 miles.
Round the distance to the nearest tenth of a mile.
miles is about
7.
kilograms.
centimeters.
1 pound is approximately equal to 0.45 kilogram.
Round 0.45 to the nearest tenth of a kilogram.
kilogram is about
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4.
kilogram.
Round each decimal to the nearest whole number
and the nearest tenth.
Decimal
9.
10.
3.49
5.65
11.
12.
4.13
4.99
16
G4B_WB_Ch_07.indd 16
Rounded to the Nearest
Whole Number
Tenth
Chapter 7 Decimals
2/25/09 3:16:45 AM
Name:
Date:
Practice 7
Fractions and Decimals
Write each fraction as a decimal.
Example
9 10
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2.
0.9
3
100 1.
7 10
3.
51
100 4.
1
2
Express each fraction as a decimal.
Hint: Make the denominator 10 or 100.
Example
2
5
4
= 10
= 0.4
5.
5
2
6.
5
4
7.
7
20
8.
2
25
Lesson 7.5
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Fractions and Decimals
17
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Write each mixed number as a decimal.
5
9.
310
11.
85
3
10.
6 43
12.
1020
100
3
13.
0.3
14.
0.5
15.
5.2
16.
0.25
17.
4.08
18.
3.45
18
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© 2009 Marshall Cavendish International (Singapore) Private Limited
Write each decimal as a fraction or mixed number in simplest form.
Chapter 7 Decimals
2/25/09 3:16:45 AM
Name:
Date:
Challenging Practice
Mark ✘ to show where each decimal is located on the number line.
Label its value.
1.
1.2
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0
2.
0.4
0.8
0.03
0.06
0.12
0
Write any decimal that is
3.
greater than 2 but less than 2.1.
4.
greater than 1.1 but less than 1.2.
Round 9.95 to
5.
the nearest whole number.
6.
the nearest tenth.
Chapter 7 Decimals
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19
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Put On Your Thinking Cap!
Problem Solving
The decimals in each exercise follow a pattern.
Write the two missing decimals in each pattern.
0.01 0.14
0.4
2.
1.21 1.42
1.84 2.05
3.
0.48 0.39
0.21 0.12
4.
2.76 2.62
2.34
5.
0.01 0.02 0.04 0.07 0.11
6.
2.95 2.85 2.65 2.35 1.95
7.
0.38 0.4 0.36 0.38 0.34
8.
3.14 2.84 2.54 2.94 3.34 3.04
20
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0.66
2.06
© 2009 Marshall Cavendish International (Singapore) Private Limited
1.
Chapter 7 Decimals
2/25/09 3:16:45 AM