P
H A TE
9
R
C
Name: Date: Multiplying and Dividing
Decimals
Worksheet 1 Multiplying Decimals
Multiply. Write the product as a decimal.
Example
2 tenths 3 3 5
6
tenths
So, 0.2 3 3 5
6
tenths
© Marshall Cavendish International (Singapore) Private Limited.
5
0.6
.
1.
4 tenths 3 2 5
tenths
So, 0.4 3 2 5
tenths
5
.
2.
3 tenths 3 3 5
tenths
So, 0.3 3 3 5
tenths
.
3.
8 tenths 3 5 5
tenths
So, 0.8 3 5 5
tenths
5
.
5
The product is 0.6.
Reteach 5B
19
Name: 4.
4 tenths 3 4 5
tenths
So, 0.4 3 4 5
tenths
.
5
5.
6 tenths 3 7 5
tenths
So, 0.6 3 7 5
tenths
Date: .
5
Multiply.
Example
0.8
0.2 3 4 5
6.
0.3 3 2 5
8.
0.4 3 6 5
7.
0.3 3 4 5
Example
0.3
3 3
0.9
9.
20
0.6
3 4
10.
Chapter 9 Lesson 9.1
0.5
3 8
11.
0.7
3 3
12.
0.9
3 5
© Marshall Cavendish International (Singapore) Private Limited.
Multiply.
Name: Date: Fill in the blanks.
Example
2 ones 1 50 tenths 5
7 ones
13.
4 ones 1 20 tenths 5
ones
14.
6 ones 1 30 tenths 5
ones
15.
9 ones 1 40 tenths 5
ones
Fill in the blanks.
Example
12 tenths 5
1
ones and
2
tenths
16.
24 tenths 5
ones and
tenths
17.
37 tenths 5
ones and
tenths
18.
101 tenths 5
tenth
© Marshall Cavendish International (Singapore) Private Limited.
ones and
Reteach 5B
21
Name: Date: Multiply. Fill in the blanks.
Example
19.
4 tenths 3 3 5
12
tenths
1
one and
6 tenths 3 4 5
20.
5
5
5 tenths 3 7 5
5
2
tenths
tenths
ones and
tenths
tenths
ones and
21.
8 tenths 3 6 5
tenths
5
ones and
tenths
tenths
Multiply. Fill in the blanks.
2 ones and 4 tenths 3 2 5
22.
3 ones and 2 tenths 3 4 5
23.
7 ones and 1 tenth 3 6 5
24.
6 ones and 3 tenths 3 3 5
22
Chapter 9 Lesson 9.1
4
ones and
ones and
ones and
ones and
8
tenths
tenths
tenths
tenths
© Marshall Cavendish International (Singapore) Private Limited.
Example
Name: Date: Multiply. Fill in the blanks.
Example
2.8 3 5
8 tenths 3 5 5
40
4
So, 2.8 3 5 5
ones 1
tenths
4
tenths 5
2 ones 3 5 5
40
10
ones and
0
tenths
ones
10
ones 5
14
ones
14.0 .
© Marshall Cavendish International (Singapore) Private Limited.
Multiply 4.7 by 3. Fill in the blanks.
25.
4.7 3 3
So, 4.7 3 3 5
7 tenths 3 3 5
tenths
tenths 5
4 ones 3 3 5
ones 1
ones and
tenth
ones
ones 5
ones
.
Multiply 5.6 by 4. Fill in the blanks.
26.
5.6 3 4
So, 5.6 3 4 5
6 tenths 3 4 5
tenths
tenths 5
5 ones 3 4 5
ones 1
ones and
tenths
ones
ones 5
ones
.
Reteach 5B
23
Name: Date: Multiply 6.8 by 7. Fill in the blanks.
27.
6.8 3 7
So, 6.8 3 7 5
8 tenths 3 7 5
tenths
tenths 5
6 ones 3 7 5
ones and
tenths
ones
ones 1
ones 5
ones
.
Multiply 3.7 by 4. Fill in the blanks.
28.
3.7 3 4
So, 3.7 3 4 5
7 tenths 3 4 5
tenths
tenths 5
3 ones 3 4 5
ones and
tenths
ones
ones 1
ones 5
ones
.
29.
1.6 3 6
So, 1.6 3 6 5
24
6 tenths 3 6 5
Chapter 9 Lesson 9.1
tenths
tenths 5
1 one 3 6 5
ones 1
.
ones and
tenths
ones
ones 5
ones
© Marshall Cavendish International (Singapore) Private Limited.
Multiply 1.6 by 6. Fill in the blanks.
Name: Date: Multiply.
30.
2.8
3 8
31.
4.7
3 7
32.
6.9
3 2
Multiply. Write the product as a decimal.
Example
6
3 hundredths 3 2 5
© Marshall Cavendish International (Singapore) Private Limited.
So, 0.03 3 2 5
5
33.
3 hundredths 3 3 5
So, 0.03 3 3 5
5
34.
2 hundredths 3 4 5
So, 0.02 3 4 5
5
6
0.06
hundredths
hundredths
.
hundredths
hundredths
.
hundredths
hundredths
.
Reteach 5B
25
Name: Date: Multiply. Write the product as a decimal.
35.
0.02 3 3 5
36.
0.03 3 4 5
37.
0.04 3 4 5
38.
0.01 3 5 5
Fill in the blanks.
Example
23 hundredths 5
2
tenths
3
hundredths
39.
47 hundredths 5
tenths
hundredths
40.
80 hundredths 5
tenths
hundredths
41.
59 hundredths 5
tenths
hundredths
42.
4 hundredths 1 8 hundredths 5
hundredths
tenth
43.
9 hundredths 1 5 hundredths 5
hundredths
tenth
26
Chapter 9 Lesson 9.1
5
5
hundredths
hundredths
© Marshall Cavendish International (Singapore) Private Limited.
Fill in the blanks.
Name: Date: Multiply. Fill in the blanks.
Example
5 hundredths 3 3 5
5
15
1
hundredths
5
tenth
44.
4 hundredths 3 7 5
hundredths
tenths
45.
6 hundredths 3 8 5
hundredths
tenths
5
5
hundredths
hundredths
hundredths
© Marshall Cavendish International (Singapore) Private Limited.
Multiply.
46.
0.04
3 3
47.
0.02
3 9
48.
0.05
3 3
49.
0.04
3 5
Multiply. Fill in the blanks.
Example
4 tenths 2 hundredths 3 2 5
8
tenths 1
0
tenths
4
hundredths
8
tenths
4
hundredths
5
Reteach 5B
27
Name: Date: 50.
1 tenth 4 hundredths 3 6 5
tenths 1
tenths
hundredths
tenths
hundredths
51.
2 tenths 3 hundredths 3 7 5
tenths 1
tenths
hundredth
tenths
hundredth
5
5
52.
3 tenths 2 hundredths 3 8 5
tenths 1
tenth
hundredths
tenths
hundredths
5
Multiply. Fill in the blanks.
Example
24
hundredths
5
2
tenths
So, 0.08 3 3 5
0.24
4
hundredths .
Multiply 0.05 by 7. Fill in the blanks.
53.
5 hundredths 3 7 5
hundredths
5
tenths
So, 0.05 3 7 5
28
Chapter 9 Lesson 9.1
.
hundredths
© Marshall Cavendish International (Singapore) Private Limited.
8 hundredths 3 3 5
Name: Date: Multiply 0.49 by 2. Fill in the blanks.
54.
9 hundredths 3 2 5
hundredths 5
4 tenths 3 2 5
tenth 1
tenths 5
hundredths
So, 0.49 3 2 5
tenth
hundredths
tenths
tenths 5
ones and
tenths
tenths
.
Multiply 0.25 by 3. Fill in the blanks.
55.
© Marshall Cavendish International (Singapore) Private Limited.
hundredths 5
2 tenths 3 3 5
tenth 1
tenths 5
hundredths
5 hundredths 3 3 5
So, 0.25 3 3 5
tenth
hundredths
tenths
tenths 5
ones and
tenths
tenths
.
Multiply 0.43 by 4. Fill in the blanks.
56.
3 hundredths 3 4 5
hundredths
hundredths 5
4 tenths 3 4 5
tenth
hundredths
tenths
tenth 1
tenths 5
tenths
tenths 5
one and
tenths
So, 0.43 3 4 5
.
Reteach 5B
29
Name: Date: Multiply 0.67 by 5. Fill in the blanks.
57.
hundredths
7 hundredths 3 5 5
hundredths 5
6 tenths 3 5 5
tenths
hundredths
tenths
tenths 1
tenths 5
tenths
tenths 5
ones and
tenths
So, 0.67 3 5 5
.
58.
1.45
3 3
59.
2.36
3 4
60.
3.58
3 6
30
Chapter 9 Lesson 9.1
© Marshall Cavendish International (Singapore) Private Limited.
Multiply.
Name: Date: Worksheet 2 Multiplying by Tens, Hundreds, or Thousands
Place the decimal point in the correct place in the product.
Example
© Marshall Cavendish International (Singapore) Private Limited.
4.35 10 4 3 . 5
When you multiply a
decimal by 10, move the
decimal point 1 decimal
place to the right.
1.
1.28 3 10 5 1 2 8
2.
4.75 3 10 5 4 7 5
3.
0.36 3 10 5 3 6 4.
0.92 3 10 5 9 2
5.
3.45 3 10 5 3 4 5
6.
0.81 3 10 5 8 1
7.
6.4 3 10 5 6 4 8.
7.8 3 10 5 7 8
9.
0.7 3 10 5 7 10.
0.9 3 10 5 9
11.
5.3 3 10 5 5 3 12.
0.4 3 10 5 4
13.
0.375 3 10 5 3 7 5 14.
0.284 3 10 5 2 8 4
15.
1.693 3 10 5 1 6 9 3
16.
2.438 3 10 5 2 4 3 8
17.
0.736 3 10 5 7 3 6 18.
8.931 3 10 5 8 9 3 1
Reteach 5B
31
Name: Date: Multiply.
19.
1.39 3 10 5
20.
2.47 3 10 5
21.
0.84 3 10 5
22.
0.94 3 10 5
23.
7.2 3 10 5
24.
6.3 3 10 5
25.
0.8 3 10 5
26.
0.2 3 10 5
27.
0.481 3 10 5
28.
0.179 3 10 5
29.
2.435 3 10 5
30.
6.582 3 10 5
31.
0.478 3
33.
0.59 3
5 4.78 32.
0.07 3
5 0.7
34.
0.26 3
5 2.6
5 5.9
35.
3 10 5 12.08
36.
3 10 5 1.03
37.
3 10 5 3.05
38.
3 10 5 245.8
39.
40 5
41.
150 5
43.
83
45.
16 3
32
Chapter 9 Lesson 9.2
3 10
3 10
5 80
5 160
40.
70 5 7 3
42.
120 5 12 3
44.
3 10 5 90
46.
3 10 5 170
© Marshall Cavendish International (Singapore) Private Limited.
Complete.
Name: Date: Complete.
Example
4
© Marshall Cavendish International (Singapore) Private Limited.
5 3 40 5 5 3
5
20
5
200
3 10
3 10
47.
6 3 70 5 6 3
5
5
48.
8 3 120 5
3
5
3 10
5
49.
11 3 50 5
3
5
3 10
5
50.
16 3 180 5
3
5
3 10
5
3 10
3 10
3 10
3 10
3 10
Reteach 5B
33
Name: Date: Find each product.
48
51.
0.7 3 90 5
52.
0.9 3 50 5
53.
0.12 3 40 5
54.
0.13 3 60 5
55.
0.15 3 50 5
56.
0.18 3 30 5
57.
7.258 3 100 5
58.
3.295 3 200 5
59.
0.471 3 300 5
60.
0.0384 3 400 5
34
Chapter 9 Lesson 9.2
0.6 3 8 5 4.8
0.6 3 80 5 48
© Marshall Cavendish International (Singapore) Private Limited.
Example
0.6 3 80 5
Name: Date: Place the decimal point in the correct place in the product.
Example
© Marshall Cavendish International (Singapore) Private Limited.
2.54 100 2 5 4.
61.
1.375 3 100 5 1 3 7 5
62.
2.679 3 100 5 2 6 7 9
63.
0.472 3 100 5 4 7 2
64.
0.814 3 100 5 8 1 4
65.
5.78 3 100 5 5 7 8
66.
6.93 3 100 5 6 9 3
67.
0.38 3 100 5 3 8
68.
0.91 3 100 5 9 1
69.
6.3792 3 1 ,000 5
70.
4.1835 3 1 ,000 5
71.
0.0384 3 1 ,000 5
72.
0.0172 3 1 ,000 5
When you multiply a
decimal by 100, move the
decimal point 2 decimal
places to the right.
Reteach 5B
35
Name: Date: Place the decimal point in the correct place in the product.
Example
73.
1.492 3 1,000 5 1 4 9 2
74.
2.679 3 1,000 5 2 6 7 9
75.
0.385 3 1,000 5 3 8 5
76.
0.496 3 1,000 5 4 9 6
77.
4.67 3 1,000 5 4 6 7
78.
5.82 3 1,000 5 5 8 2
79.
0.4 3 1,000 5 4
80.
0.1 3 1,000 5 1
When you multiply a
decimal by 1,000, move
the decimal point 3 decimal
places to the right.
Complete.
81.
0.583 3
5 58.3
82.
0.07 3
83.
0.481 3
5 48.1
84.
0.032 3
85.
36
3 100 5 36.9
Chapter 9 Lesson 9.2
86.
5 70
5 32
3 1,000 5 204
© Marshall Cavendish International (Singapore) Private Limited.
0.213 1,000 2 1 3.
Name: 87.
89.
500 5
91.
9,000 5
93.
73
95.
13 3
Date: 3 1,000 5 48
88.
3 100
90.
8,000 5 8 3
92.
1,400 5 14 3
3 1,000
5 700
5 13,000
3 100 5 91
94.
3 1,000 5 6,000
96.
3 100 5 2,600
Complete.
Example
5
4 3 500 5 4 3
© Marshall Cavendish International (Singapore) Private Limited.
97.
98.
99.
5
20
5
2,000
3 100
3 100
3 3 8,000 5 3 3
5
5
7 3 1,100 5
5
5
12 3 6,000 5
5
5
3 1,000
3 1,000
3
3 100
3 100
3
3 1,000
3 1,000
Reteach 5B
37
Name: Date: Find each product.
Example
7 3 400 5
2,800
7 3 4 5 28
7 3 400 5 2,800
100. 4 3 8,000 5
101.
6 3 900 5
102. 5 3 6,000 5
103. 8 3 700 5
Find each product.
0.37 3 200 5
104. 0.13 3 700 5
105. 1.2 3 8,000 5
106. 1.5 3 600 5
107. 0.17 3 4,000 5
38
Chapter 9 Lesson 9.2
74
0.37 3 2 5 0.74
0.37 3 200 5 74
© Marshall Cavendish International (Singapore) Private Limited.
Example
Name: Date: Complete.
108. 102 5
3
109. 103 5
3
3
Simplify.
110.
10 3 10 3 10 5
111.
10 3 10 5
Find each product.
Example
© Marshall Cavendish International (Singapore) Private Limited.
2.54 100 2 5 4.
112.
7.258 3 100 5
113.
3.295 3 100 5
114.
0.471 3 100 5
115.
0.0384 3 100 5
When you multiply a
decimal by 100, move the
decimal point 2 decimal
places to the right.
Reteach 5B
39
Name: Date: Find each product.
Example
0.213 1,000 2 1 3.
116.
3.792 3 1,000 5
117.
1.835 3 1,000 5
118.
0.0384 3 1,000 5
119.
0.0172 3 1,000 5
When you multiply a
decimal by 1,000, move
the decimal point 3 decimal
places to the right.
120. 2.478 3 102 5
121.
0.587 3 102 5
122. 1.3695 3 103 5
123. 0.0478 3 103 5
40
Chapter 9 Lesson 9.2
© Marshall Cavendish International (Singapore) Private Limited.
Find each product.
Name: Date: Worksheet 3 Dividing Decimals
Divide. Fill in the blanks.
Example
8 tenths 4 2 5
© Marshall Cavendish International (Singapore) Private Limited.
6 hundredths 4 2 5
4
tenths
3
hundredths
1.
9 tenths 4 3 5
2.
12 hundredths 4 4 5
hundredths
3.
25 hundredths 4 5 5
hundredths
4.
16 tenths 4 4 5
5.
28 hundredths 4 7 5
hundredths
6.
48 hundredths 4 6 5
hundredths
7.
64 hundredths 4 8 5
hundredths
8.
92 hundredths 4 4 5
hundredths
9.
15 tenths 4 3 5
tenths
10.
24 tenths 4 6 5
tenths
11.
56 hundredths 4 8 5
hundredths
12.
70 hundredths 4 5 5
hundredths
13.
81 hundredths 4 9 5
hundredths
tenths
tenths
Reteach 5B
41
Name: Date: Divide 0.42 by 6. Fill in the blanks.
Example
0
4
.
6) 2 . 4 The quotient is
0.4.
0
2
2
4
4
0
Divide 4.6 by 2. Fill in the blanks.
Divide the ones by 2.
2 4 . 6 4 ones 4 2 5
.
2 4 . 6
Divide the tenths by 2.
42
Chapter 9 Lesson 9.3
tenths
6 tenths 4 2 5
So, 4.6 4 2 5
ones
.
© Marshall Cavendish International (Singapore) Private Limited.
14. Name: Date: Divide 6.9 by 3. Fill in the blanks.
15.
Divide the ones by 3.
3 6 . 9 6 ones 4 3 5
.
3 6 . 9
Divide the tenths by 3.
ones
tenths
9 tenths 4 3 5
.
So, 6.9 4 3 5
Divide 8.4 by 4. Fill in the blanks.
© Marshall Cavendish International (Singapore) Private Limited.
16.
Divide the ones by 4.
4 8 . 4
.
4 8 . 4
8 ones 4 4 5
ones
Divide the tenths by 4.
4 tenths 4 4 5
So, 8.4 4 4 5
tenth
.
Reteach 5B
43
Name: Date: Divide.
Example
17.
3 . 2
2 6 . 4
6
0
.
3 3 . 9
4
4
0
19.
.
3 2 . 4
20.
.
6 5 . 4
.
7 0 . 7
44
Chapter 9 Lesson 9.3
21.
.
8 3 . 2
© Marshall Cavendish International (Singapore) Private Limited.
18.
Name: Date: Regroup. Then divide.
Example
4.29 4 3
4 ones 5
3
ones and 10 tenths
4 ones and 2 tenths 5 3 ones and 10 tenths 1 2 tenths
12
5 3 ones and
12
3 ones and
5
1
tenths 9 hundredths 4 3
4
one and
22.
3.68 4 2
3 ones 5
3 ones and 6 tenths 5
3
tenths
hundredths
ones and 10 tenths
© Marshall Cavendish International (Singapore) Private Limited.
tenths
ones and 10 tenths 1
ones and
5
2 ones and
5
23.
6.54 4 3
5 tenths 5
5 tenths 4 hundredths
5
tenths 20 hundredths 1
5
tenths
6 ones and
5
tenths
one and
tenths
tenths
hundredths 4 2
tenths
hundredths
tenths 20 hundredths
hundredths
hundredths
tenths
ones and
hundredths 4 3
tenth
hundredths
Reteach 5B
45
Name: Date: 24.
4.64 4 4
6 tenths 5
6 tenths 4 hundredths
5
tenths
hundredths 1
5
tenths
hundredths
4 ones and
5
25.
4.95 4 3
4 ones 5
9 tenths 5 hundredths
5
tenths
hundredths 1
5
tenths
hundredths
3 ones and
5
26.
6.55 4 5
6 ones 5
6 ones and 5 tenths 5
5
5 ones and
5
46
tenths
hundredths
tenths
hundredths 4 4
one and
tenth
ones and
hundredths 4 3
tenths
ones and
tenths 1
tenths
tenths
Chapter 9 Lesson 9.3
hundredths
tenths
ones and
ones and
hundredths
hundredths 4 5
tenths
hundredth
tenths
© Marshall Cavendish International (Singapore) Private Limited.
one and
hundredths
tenths
tenths
one and
hundredths
Name: Date: Divide 4.56 by 2. Fill in the blanks.
Example
Divide the ones by 2.
2
2 4 . 5 6 4
4 ones 4 2 5
2
ones
0
2 . 2
2 4 . 5 4
0
Divide the tenths by 2.
6 5 tenths 4 2 5
1
tenth 5
2
tenths R
1
10
hundredths
tenth
5
4
© Marshall Cavendish International (Singapore) Private Limited.
1
2
.
2 4 . 5 4
0
Add the hundredths.
2
10
6 5
16
hundredths 1
6
hundredths
hundredths
5
4
1
6
Reteach 5B
47
Name: 2 . 2
8
2 4 . 5 6 4
0
Date: Divide the hundredths by 2.
16
5
hundredths 4 2
8
hundredths
So, 4.56 4 2 5 2.28 .
5
4
1
6
1
6
0
Divide 6.57 by 3. Fill in the blanks.
27.
Divide the ones by 3.
.
3 6 . 5 48
7
6 ones 4 3 5
ones
Divide the tenths by 3.
7 Chapter 9 Lesson 9.3
5 tenths 4 3 5
tenths 5
tenth R
hundredths
tenths
© Marshall Cavendish International (Singapore) Private Limited.
3 6 . 5 Name: Date: Add the hundredths.
.
3 6 . 5 7 hundredths 1
5
hundredths
hundredths
Divide the hundredths by 3.
.
3 6 . 5 7 hundredths 4 3
5
hundredths
© Marshall Cavendish International (Singapore) Private Limited.
So, 6.57 4 3 5
.
Reteach 5B
49
Name: Date: Divide.
28.
.
4 8 . 7 2 .
6 6 . 4 2 © Marshall Cavendish International (Singapore) Private Limited.
29.
50
Chapter 9 Lesson 9.3
Name: Date: Divide 5.48 by 2. Fill in the blanks.
30.
Divide the ones by 2.
2 5 . 4 8 ones R
5 ones 4 2 5
Regroup the remainder
2 5 . 4 8 one 5
one.
tenths
Add the tenths.
tenths 1
one
tenths 5
tenths
© Marshall Cavendish International (Singapore) Private Limited.
Divide the tenths by 2.
.
2 5 . 4 8 tenths 4 2 5
tenths
Reteach 5B
51
Name: .
2 5 . 4 Date: Divide the hundredths by 2.
8 hundredths 4 2
5
hundredths
So, 5.48 4 2 5
.
Divide 6.78 by 3. Fill in the blanks.
31.
Divide the ones by 3.
8 6 ones 4 3 5
ones
Divide the tenths by 3.
.
3 6 . 7 8 52
Chapter 9 Lesson 9.3
tenths 4 3 5
tenths R
tenth
© Marshall Cavendish International (Singapore) Private Limited.
3 6 . 7 Name: Date: Regroup the remainder
.
3 6 . 7 tenth 5
8 tenth.
hundredths
Add the hundredths.
hundredths 1
5
.
3 6 . 7 hundredths
Divide the hundredths by 3.
hundredths 4 3
8 5
hundredths
So, 6.78 4 3 5
© Marshall Cavendish International (Singapore) Private Limited.
hundredths
.
Reteach 5B
53
Name: Date: Divide.
32.
33.
.
4 4 . 7 6 34.
.
3 9 . 8 7 .
3 7 . 5 9 © Marshall Cavendish International (Singapore) Private Limited.
.
2 5 . 3 6 35.
54
Chapter 9 Lesson 9.3
Name: 36.
Date: 37.
.
6 8 . 4 .
4 9 . 5 2 6 © Marshall Cavendish International (Singapore) Private Limited.
Divide.
38.
0.48 4 2 5
39.
0.36 4 2 5
40.
4.56 4 2 5
41.
1.58 4 2 5
42.
3.76 4 2 5
43.
0.96 4 3 5
44.
0.54 4 3 5
45.
6.93 4 3 5
46.
4.71 4 3 5
47.
5.28 4 3 5
48.
0.56 4 4 5
49.
0.75 4 5 5
50.
5.82 4 6 5
51.
8.61 4 7 5
52.
5.28 4 8 5
Reteach 5B
55
Name: Date: Divide. Round each quotient to the nearest tenth.
Example
)
1
3 5 .
6
6
.
0
0
5 4 3 is about 1.7.
3
2
0
1
8
2
1
53.
.
0
8
2
2 4 3 is about
.
© Marshall Cavendish International (Singapore) Private Limited.
3 2 .
56
Chapter 9 Lesson 9.3
Name: 54.
.
Date: 6 4 7 is about
.
7 4 6 is about
.
7 6 .
55.
.
© Marshall Cavendish International (Singapore) Private Limited.
6 7 .
Reteach 5B
57
Name: Date: 56.
549
57.
847
58.
11 4 3
58
Chapter 9 Lesson 9.3
© Marshall Cavendish International (Singapore) Private Limited.
Divide. Round each quotient to the nearest hundredth.
Name: Date: Worksheet 4 Dividing by Tens, Hundreds, or Thousands
Place the decimal point in the correct place in the quotient.
Example
7.26 10 0.7 2 6
When you divide a number
by 10, move the decimal
point 1 decimal place to
the left.
1.
1.37 4 10 5 1 3 7 2.
3.85 4 10 5 3 8 5
3.
36.2 4 10 5 3 6 2 4.
94.7 4 10 5 9 4 7
5.
645 4 10 5 6 4 5 6.
786 4 10 5 7 8 6
7.
0.9 4 10 5 9 8.
0.4 4 10 5 4
© Marshall Cavendish International (Singapore) Private Limited.
Complete.
9.
2.84 4 10 5
10.
463 4 10 5
11.
0.95 4 10 5
12.
72.6 4 10 5
Complete.
13.
57.8 4
5 5.78 14.
44
15.
894 4
5 89.4 16.
0.26 4
5 0.4
5 0.026
17.
4 10 5 3.09 18.
4 10 5 70.4
19.
4 10 5 0.05 20.
4 10 5 0.458
Reteach 5B
59
Name: Date: Complete.
21.
90 4 30 5 (90 4
22.
140 4 20 5 (140 4
23.
280 4 40 5 (
4 4) 4 10
24.
420 4 70 5 (
4 7) 4 10
) 4 10
) 4 10
Complete.
25.
60 4 20 5 (60 4
5
) 4 10
4 10
5
26.
120 4 30 5 (120 4
5
) 4 10
4 10
27.
360 4 40 5 (
5
4 4) 4 10
4 10
5
28.
560 4 80 5 (
5
5
60
Chapter 9 Lesson 9.4
4 8) 4 10
4 10
© Marshall Cavendish International (Singapore) Private Limited.
5
Name: 29.
16 4 80 5 (
5
Date: 4 8) 4 10
4 10
5
30.
21 4 70 5 (
5
4 7) 4 10
4 10
5
31.
0.9 4 30 5 (
5
4 3) 4 10
4 10
5
32.
0.15 4 50 5 (
5
4 5) 4 10
4 10
5
© Marshall Cavendish International (Singapore) Private Limited.
Divide.
33.
1.4 4 70 5
34.
8 4 40 5
35.
9 4 30 5
36.
0.75 4 50 5
37.
0.42 4 70 5
Reteach 5B
61
Name: Date: Place the decimal point in the correct place in the quotient.
Example
61.5 100 0.6 1 5
When you divide a
number by 100, move the
decimal point 2 decimal
places to the left.
38.
23.8 4 100 5 2 3 8
39.
47.3 4 100 5 4 7 3
40.
37.5 4 100 5 3 7 5 41.
98.4 4 100 5 9 8 4
42.
5.9 4 100 5 43.
2.7 4 100 5 59
27
Place the decimal point in the correct place in the quotient.
715 1,000 0.7 1 5
When you divide a
number by 1,000, move
the decimal point 3
decimal places to the left.
44.
147 4 1,000 5 1 4 7 45.
258 4 1,000 5 2 5 8
46.
69 4 1,000 5 6 9 47.
38 4 1,000 5 3 8
48.
1,234 4 1,000 5 1 2 3 4
49.
6,101 4 1,000 5 6 1 0 1
62
Chapter 9 Lesson 9.4
© Marshall Cavendish International (Singapore) Private Limited.
Example
Name: Date: Complete.
50.
36.9 4
52.
78 4
51.
44
5 0.078 53.
49.6 4
54.
4 100 5 4.08 55.
4 100 5 2.05
56.
4 1,000 5 0.007
57.
4 1,000 5 0.852
5 0.369 5 0.004
5 0.496
© Marshall Cavendish International (Singapore) Private Limited.
Complete.
58.
800 4 200 5 (800 4
59.
1,500 4 300 5 (1,500 4
60.
40 4 800 5 (
61.
6 4 200 5 (
62.
0.9 4 300 5 (
63.
600 4 2,000 5 (600 4
64.
1,800 4 3,000 5 (1,800 4
65.
180 4 9,000 5 (
66.
8 4 2,000 5 (
67.
0.8 4 4,000 5 (
) 4 100
) 4 100
4 8) 4 100
4 2) 4 100
4 3) 4 100
) 4 1,000
) 4 1,000
4 9) 4 1,000
4 2) 4 1,000
4 4) 4 1,000
Reteach 5B
63
Name: Date: 68.
40 4 200 5
69.
60 4 3,000 5
70.
320 4 800 5
71.
810 4 9,000 5
72.
12 4 3,000 5
73.
25 4 5,000 5
74.
5 4 100 5
75.
8 4 400 5
76.
0.4 4 200 5
77.
9 4 600 5
78.
6 4 2,000 5
79.
40 4 5,000 5
80.
70 4 1,000 5
81.
600 4 4,000 5
82.
1,400 4 500 5
83.
7,500 4 1,500 5
64
Chapter 9 Lesson 9.4
© Marshall Cavendish International (Singapore) Private Limited.
Complete.
Name: Date: Worksheet 5 Estimating Decimals
Round each decimal to the nearest whole number. Fill in the blanks.
Example
1.375 is about
1
.
less than
3 tenths is
1.375
1.
12.459 is about
12.459
2.
43.607 is about
43.607
3.
28.910 is about
28.910
5
tenths.
1
. 4 tenths is
tenths.
. 6 tenths is
tenths.
. 9 tenths is
tenths.
Round each number to the nearest tenth. Fill in the blanks.
© Marshall Cavendish International (Singapore) Private Limited.
Example
2.483 is about 2.5 .
8 hundredths is greater than
2.483
4.
6.341 is about
6.341
5.
17.251 is about
17.251
5
hundredths.
2.5
. 4 hundredths is
. 5 hundredths is
hundredths.
hundredths.
Reteach 5B
65
Name: 6.
39.908 is about
39.908
7.
18.472 is about
18.472
Date: . 0 hundredths is
hundredths.
. 7 hundredths is
hundredths.
Round each number to the nearest hundredth. Fill in the blanks.
Example
1.284 is about 1.28 . 4 thousandths is
1.284
8.
16.016 is about
16.016
9.
24.005 is about
10.
45.076 is about
45.076
less than
5
thousandths.
1.28
. 6 thousandths is
thousandths.
. 5 thousandths
thousandths.
24.005
thousandths.
Round each decimal to the nearest whole number. Then estimate the sum.
Example
0.47  2.52 is about
11.
1.62  3.39 is about
66
Chapter 9 Lesson 9.5
3 .
.
0.47
0
0 35
3
1.62
; 2.52
; 3.39

5
3
© Marshall Cavendish International (Singapore) Private Limited.
. 6 thousandths is
Name: 12.
4.53  0.82 is about
13.
7.49  2.39 is about
14.
18.57  9.98 is about
15.
4.67  0.88 is about
Date: . 4.53
; 0.82

5
. 7.49
; 2.39

5
. 18.57
; 9.98

5
. 4.67
; 0.88

5
Round each number to the nearest tenth. Then estimate the sum or difference.
Example
0.51  2.48 is about
3
© Marshall Cavendish International (Singapore) Private Limited.
0.5
16.
7.39 2 2.91 is about
17.
0.87  1.49 is about
18.
12.39 2 4.72 is about
0.5
0.51
.

. 7.39
2.5
; 2.48
2.5
5
3
; 2.91
2
5
.
.
Reteach 5B
67
Name: 19.
18.59 2 9.66 is about
.
20.
21.85 1 0.75 is about
.
Date: Round each decimal to the nearest whole number. Then estimate the product.
Example
8
2
21.
3.51 3 7 is about
22.
12.07 3 8 is about
23.
15.76 3 11 is about
.
24.
18.32 3 12 is about
.
25.
27.13 3 13 is about
.
68
Chapter 9 Lesson 9.5
2
2.47
.
.
345
8
3
5
3.51
.
© Marshall Cavendish International (Singapore) Private Limited.
2.47 3 4 is about
Name: Date: Round each decimal to the nearest tenth. Then estimate the product.
Example
3.45 3 4 is about
14
3.45
.
3.5
26.
4.54 3 6 is about
27.
14.27 3 7 is about
.
28.
16.94 3 9 is about
.
.
3.5
345
14
4.54
3
5
Round each decimal to the nearest whole number. Then estimate the quotient.
© Marshall Cavendish International (Singapore) Private Limited.
Example
12.49 4 4 is about
29.
31.52 4 8 is about
3
.
.
12.49
12
12
445
3
31.52
4
5
Reteach 5B
69
Name: 30.
71.63 4 9 is about
.
31.
62.55 4 7 is about
.
Date: Estimate. Round the decimals to the nearest tenth.
Example
3.2 .
12.8
32.
37.24 4 6 is about
33.
21.64 4 8 is about
.
34.
51.09 4 7 is about
.
70
Chapter 9 Lesson 9.5
.
12.8
12.77
445
3.2
37.24
4
5
© Marshall Cavendish International (Singapore) Private Limited.
12.77 4 4 is about
Name: Date: Worksheet 6 Converting Metric Units
Find each product.
Example
0.6 100 60.
1.
0.08 3 100 5
3.
0.015 3 100 5
5.
7.9 3 100 5
When you multiply a
decimal by 100, move the
decimal point 2 decimal
places to the right.
2.
0.09 3 100 5
4.
0.047 3 100 5
6.
12.34 3 100 5
© Marshall Cavendish International (Singapore) Private Limited.
Convert meters to centimeters.
7.
0.4 m 5 0.4 3
8.
7.43 m 5 7.43 3
5
9.
1.585 m 5
10.
cm
5
5
cm
3
cm
500.75 m 5
3
5
cm
Reteach 5B
71
Name: Date: Convert meters to meters and centimeters.
Example
14.05 m
Express this part as centimeters.
Express this part as meters.
14.05 m 5
m
14
11.
15.09 m
0.09 m 5 0.09 3
15.09 m 5
12.
224.8 m
0.8 m 5 0.8 3
5
0.05 m 5 0.05 3 100
m
5
cm
cm
224.8 m 5
m
cm
13.
35.09 m 5
m
cm
14.
158.6 m 5
m
cm
72
Chapter 9 Lesson 9.6
5
cm
cm
m
5
5
cm
© Marshall Cavendish International (Singapore) Private Limited.
14
14
Name: Date: Find each product.
Example
When you multiply a
decimal by 1,000,
move the decimal point
3 decimal places to
the right.
0.75 1,000 750.
15.
0.04 3 1,000 5
17.
0.026 3 1,000 5
19.
6.2 3 1,000 5
16.
0.07 3 1,000 5
18.
0.038 3 1,000 5
20.
45.67 3 1,000 5
© Marshall Cavendish International (Singapore) Private Limited.
Convert kilometers to meters.
21.
0.6 km 5 0.6 3
22.
8.32 km 5 8.32 3
23.
1.493 km 5
24.
300.92 km 5
m
5
m
5
3
3
5
5
m
m
Reteach 5B
73
Name: Date: Convert kilograms to grams.
25.
7.04 kg 5 7.04 3
5
g
26.
25.8 kg 5 25.8 3
5
g
27.
9.05 kg 5 9.05 3
5
g
28.
14.2 kg 5 14.2 3
5
g
Convert liters to milliliters.
29.
5.08 L 5 5.08 3
30.
14.3 L 5 14.3 3
5
mL
31.
3.07 L 5
3
mL
32.
26.4 L 5
3
5
mL
74
5
Chapter 9 Lesson 9.6
mL
© Marshall Cavendish International (Singapore) Private Limited.
5
Name: Date: Convert kilometers to kilometers and meters.
Example
28.75 km
Express this part as meters.
Express this part as kilometers.
28
28
28.75 m 5
28
33.
46.07 km
0.07 km 5 0.07 3
46.07 km 5
34.
168.9 km
© Marshall Cavendish International (Singapore) Private Limited.
km
0.75 m 5 0.75 3 1,000
km
750
m
5
750
m
m
5
km
m
km 5
3
5
m
168.9 km 5
km
m
35.
57.04 km 5
km
m
36.
248.5 km 5
km
m
Reteach 5B
75
Name: Date: Convert kilograms to kilograms and grams.
Example
4.78 kg
4 kg
4
4.78 kg 5
kg
4
37.
2.05 kg
0.05 kg 5 0.05 3
kg
780
Express this part as grams.
0.78 kg 5 0.78 3 1,000
g
38.
780
g
12.9 kg
0.9 kg 5
3
5
g 5
g
2.05 kg 5
kg
g 12.9 kg 5
39.
9.03 kg 5
kg
g
40.
21.6 kg 5
kg
g
76
Chapter 9 Lesson 9.6
5
kg
g
© Marshall Cavendish International (Singapore) Private Limited.
Express this part as kilograms.
Name: Date: Convert liters to liters and milliliters.
Example
5.67 L
Express this part as liters.
5L
5
L
Express this part as milliliters.
0.67 L 5 0.67 3 1,000
5
© Marshall Cavendish International (Singapore) Private Limited.
5.67 mL 5
5
L
670
670
mL
mL
41.
8.03 L
0.03 L 5 0.03 3
5
mL
8.03 L 5
L
42.
24.7 L
0.7 L 5
3
5
mL
24.7 L 5
L
mL
43.
7.01 L 5
L
mL
44.
15.8 L 5
L
mL
mL
Reteach 5B
77
Name: Date: Convert centimeters to meters.
Example
Convert 17.5 centimeters to meters.
100 cm 5 1 m
17.5 cm 5 17.5 4 100
5 0.175 m
45.
25.4 cm 5 25.4 4
46.
9.83 cm 5 9.83 4
47.
32.5 cm 5 32.5 4
48.
5
5
5
m
m
127.6 cm 5 127.6 4
5
78
m
Chapter 9 Lesson 9.6
m
© Marshall Cavendish International (Singapore) Private Limited.
When you divide a
number by 100, move the
decimal point 2 decimal
places to the left.
Name: Date: Convert meters and centimeters to meters.
Example
48 m 70 cm
When you divide a
number by 100, move the
decimal point 2 decimal
places to the left.
100 cm 5 1 m
70 cm 5 70 4 100
5
0.7
48 m 70 cm 5
49.
29 m 40 cm
40 cm 5
© Marshall Cavendish International (Singapore) Private Limited.
5
29 m 40 cm 5
50.
15 m 80 cm
80 cm 5
5
m
48.7
m
4
m
m
4
m
15 m 80 cm 5
m
51.
26 m 90 cm 5
m
52.
145 m 30 cm 5
m
Reteach 5B
79
Name: Date: Convert meters to kilometers.
Example
Convert 7,845 meters to kilometers.
1,000 m 5 1 km
7,845 m 5 7,845 4 1,000
5 7.845 km
4,970 m 5 4,970 4
5
km
54.
2,587 m 5
km
55.
12,783 m 5
km
Convert grams to kilograms.
Example
Convert 7,250 grams to kilograms.
1,000 g 5 1 kg
7,250 g 5 7,250 4 1,000
80
5 7.250 kg
Chapter 9 Lesson 9.6
When you divide a
number by 1,000, move
the decimal point 3
decimal places to the left.
© Marshall Cavendish International (Singapore) Private Limited.
53.
When you divide a number
by 1,000, move the
decimal point 3 decimal
places to the right.
Name: 56.
Date: 826 g 5 826 4
kg
5
57.
4,458 g 5
58.
997 g 5
kg
kg
Convert milliliters to liters.
Example
Convert 1,275 milliliters to liters.
1,000 mL 5 1 L
1,275 mL 5 1,275 4 1,000
5
© Marshall Cavendish International (Singapore) Private Limited.
59.
1.275 L
When you divide a
number by 1,000, move
the decimal point 3
decimal places to the left.
773 mL 5 773 4
5
L
60.
335 mL 5
L
61.
4,785 mL 5
L
Reteach 5B
81
Name: Date: Convert kilometers and meters to kilometers.
Example
7 km 25 m
When you divide a
number by 1,000, move
the decimal point 3
decimal places to the left.
1,000 m 5 1 km
25 m 5 25 4 1,000
5 0.025 km
7 km 25 m 5 7 km 1 0.025 km
5 km 8 m
8m584
km
5
5
63.
32 km 74 m 5
64.
66 km 9 m 5
82
km
5 km 8 m 5 5 km 1
Chapter 9 Lesson 9.6
km
km
km
© Marshall Cavendish International (Singapore) Private Limited.
62.
5 7.025 km
Name: Date: Convert kilograms and grams to kilograms.
Example
When you divide a
number by 1,000, move
the decimal point 3
decimal places to the left.
470 kg 800 g
800 g 5 800 4 1,000
5
0.8
kg
470 kg 800 g 5 470 kg 1
kg
5 470.8 kg
© Marshall Cavendish International (Singapore) Private Limited.
0.8
65.
75 kg 600 g
600 g 5 600 4
5
kg
75 kg 600 g 5
kg 1
kg
66.
66 kg 90 g 5
67.
175 kg 175 g 5
5
kg
kg
kg
Reteach 5B
83
Name: Date: Convert liters and milliliters to liters.
Example
55 L 450 mL
450 mL 5 450 4 1,000
5 0.45 L
0.45 L
55 L 450 mL 5 55 L 1
5 55.45 L
68.
124 L 900 mL
900 mL 5 900 4
5
L
124 L 900 mL 5
L1
L
69.
78 L 45 mL 5
70.
255 L 750 mL 5
84
5
Chapter 9 Lesson 9.6
L
L
L
© Marshall Cavendish International (Singapore) Private Limited.
When you divide a
number by 1,000,
move the decimal
point 3 decimal
places to the left.
Name: Date: Solve. Show your work.
James planted 2 trees 750 meters apart. He planted 12 trees in total.
a. Find the distance between the first and the twelfth tree in meters.
b. Express the distance between them in kilometers.
72.
Trader A sells 5 bags of rice. Each bag weighs 45 kilograms 650 grams each.
A truck can only carry 3,850 kilograms of goods. What is the maximum number
of bags of rice that the truck can carry?
© Marshall Cavendish International (Singapore) Private Limited.
71.
Reteach 5B
85
Name: Date: It requires 15 bottles of water to fill 1 container. One bottle contains
800 milliliters of water. Lisa buys 12 containers. Find the total volume
of water that the containers carry. Express the answer in liters.
74.
Gerald will need 2 meters 50 centimeters of cloth to make a shirt.
What is the total length of cloth he needs to buy to make 22 shirts?
Express the answer in meters.
© Marshall Cavendish International (Singapore) Private Limited.
73.
86
Chapter 9 Lesson 9.6
Name: Date: Worksheet 7 Real-World Problems: Decimals
Solve. Show you work.
1.
The length of a cracker is 3.2 centimeters. John places 4 crackers in a row.
Estimate the total length of 1 row of crackers.
3.2 cm
cm
3
5
cm
The total length is about
2.
Rose joins 6 pieces of ribbon. Each piece of ribbon is 7.57 centimeters
long. Estimate the total length of the 6 pieces of ribbon.
The total length is about
© Marshall Cavendish International (Singapore) Private Limited.
centimeters.
centimeters.
Reteach 5B
87
Name: Date: 3.
Kim has $78.65. She distributes her money equally among her six children.
Estimate the amount of money each child gets.
78.65
63
5
63
5
6 3
5
is nearer to 78.
Since 6 3
4.
Brad has a rope that is 65 meters long. He wants to cut the rope into
4 equal parts. Find the length of each cut part to the nearest meter.
Hint: Think of a number that when multiplied by 4 is close to 65.
65
43
5
43
5
5
is nearer to 65.
Since 4 3
about
88
4 3
.
© Marshall Cavendish International (Singapore) Private Limited.
5 78, each child gets about $
Chapter 9 Lesson 9.7
5
meters.
, the length of each cut part of the rope is
Name: Date: Jennifer has $15 with her. She wants to buy the following items to bake a loaf of
banana bread: a bag of flour for $2.65, a carton of eggs for $1.89, a bag of
nuts for $4.57, and a bunch of bananas for $1.66. Does Jennifer have enough
money to buy all four items?
6.
The capacity of a pail is 2.17 liters. Ethan fills 9 of these pails with water
in order to fill a larger bucket. Find the capacity of the larger bucket.
Round your answer to the nearest liter.
© Marshall Cavendish International (Singapore) Private Limited.
5.
Reteach 5B
89
Date: 7.
Tom drove 15.67 miles from home to Paddle Middle School to get his brother,
Alex. They stopped for a lemonade at a café that is 8.92 miles from home.
What is the distance between the café and the school?
Round your answer to the nearest mile.
8.
Shane is training for the National Vertical Marathon. His best time so far is
9.33 minutes. Shane wants to complete the marathon in 7.5 minutes.
How much time must Shane shave off his best time to achieve his goal?
Round your answer to the nearest minute.
A vertical marathon is a competition
where one has to try to run up many
flights of stairs (usually in a tall
building) and complete it in as short
a time as possible.
90
Chapter 9 Lesson 9.7
© Marshall Cavendish International (Singapore) Private Limited.
Name: