Date:
P
H A TE
R
C
Name:
6
Multiplication Tables
of 6, 7, 8, and 9
Worksheet 1
Multiplication Properties
Study each number line. Then fill in the blanks.
Example
number line
0
1
2
3
skip
4
5
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7
8
3
The number line shows
3
6
skips of
4
skips of
9 1
3
12
1
0
1
4
2
1
1
3
1
4
5
1
4
5
.
4
groups of
1.
0
1
2
3
4
5
6
7
The number line shows
skips of
8
9 1
skips of
1
0
1
2
1
1
3
.
groups of
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Fill in the blanks.
2.
3 skips of 4 groups of
3.
2 skips of 5 groups of
Look at the number line.
Write the multiplication fact.
Example
1
6
2
3
4
2
5
6
7
8
9 1
1
0
1
1
2
1
3
1
4
12
4.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
80
5
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0
Chapter 6 Lesson 6.1
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Show the sentence on the number line.
Then circle the numbers.
Example
Skip count by 4 to 20.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20
Skip count by 5 to 25.
5.
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0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Show the multiplication fact on the number line.
Example
7 ⫻ 3 ⫽ 21
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
6.
6 ⫻ 4 ⫽ 24
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
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7.
Date:
Show four multiplication facts that equal 12 on the number lines.
Example
12 1 12
1
2
3
4
5
0
1
2
1
2
3
4
5
1
2
3
4
5
82
1
2
9 10 11 12 13 14 15
6
7
8
9 10 11 12 13 14 15
6
7
8
9 10 11 12 13 14 15
8
9 10 11 12 13 14 15
8
9 10 11 12 13 14 15
12
3
4
5
0
8
12
0
7
12
0
6
6
7
12
3
4
5
6
7
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0
Chapter 6 Lesson 6.1
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Look at the number line.
Write the multiplication facts.
Example
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0
1
2
3
4
5
6
7
8
7
⫻
2
⫽
14
2
⫻
7
⫽
14
9 10 11 12 13 14 15
Changing the order of the
numbers in a multiplication
sentence does not change
the answer. This is called the
Commutative Property
of Multiplication.
8.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
⫻
⫽
⫻
⫽
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Complete the multiplication fact.
Then show the fact on the number line.
Example
6⫻4⫽
24
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
9.
4⫻6⫽
10.
Write a statement to explain the pattern you see.
Use the given numbers to write two multiplication sentences.
You may use each number more than once.
3 4 7 8 24
11.
⫻
⫽
12.
⫻
⫽
84
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0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Chapter 6 Lesson 6.1
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15.
Date:
Look at the statements you have written in Exercise 13 and 14.
What can you conclude from the statements?
Complete.
16.
7⫻1⫽
17.
9⫻1⫽
18.
12 ⫻ 1 ⫽
19.
1 ⫻ 100 ⫽
Fill in the circle next to the correct answer
21.
4 ⫻ 0 is
a
sum of 4 and 0
b
difference between 4 and 0
c
4 groups of nothing
d
divide nothing by 4
Which diagram shows 3 ⫻ 0?
a
b
c
86
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20.
Chapter 6 Lesson 6.1
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Draw a picture to show the following
Example
4⫻0
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Any number multiplied
by 0 equals 0.
This is called the
Multiplicative
Property of Zero.
22.
2⫻0
23.
7⫻0
24.
What pattern do you notice?
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Complete.
25.
80
26.
0 15 27.
41 0 28.
0 29 Complete.
Example
Method 1
Method 2
6
235
5
30
2
15 30
Changing the way numbers in a multiplication
sentence are grouped and multiplied does
not change the answer. This is called the
Associative Property of Multiplication.
29.
30.
Method 1
Method 2
524
524
5
Method 1
Method 2
415
415
88
4
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235
Chapter 6 Lesson 6.1
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Method 1
Method 2
5⫻2⫻3
5⫻2⫻3
⫽
⫻
⫽
⫽
⫻
⫽
What pattern do you notice?
32.
Multiply in any order.
Example
4⫻2⫻3⫽
24
8 ⫻ 3 ⫽ 24
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OR
4 ⫻ 6 ⫽ 24
33.
2⫻5⫻4⫽
34.
5⫻1⫻4⫽
35.
3⫻0⫻4⫽
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36.
3⫻5⫻0⫽
37.
4⫻1⫻2⫽
38.
7⫻2⫻1⫽
39.
1⫻6⫻4⫽
40.
9⫻1⫻3⫽
41.
8⫻0⫻2⫽
42.
2⫻3⫻1⫽
90
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Name:
Chapter 6 Lesson 6.1
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Worksheet 2
Multiply by 6
Complete.
Example
1 group of 6 dots 1
6
6
A dot paper is an array model.
The dots are arranged in rows
and columns.
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1.
2 groups of 6 dots 2.
10 groups of 6 dots Reteach 3A
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Shade the dots to show the multiplication sentence.
Then fill in the blanks.
Example
3⫻6⫽
18
5⫻6⫽
4.
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3.
7⫻6⫽
92
Chapter 6 Lesson 6.2
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Express each array model as a multiplication fact.
5.
6
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6.
7.
6
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8.
6
Fill in the missing numbers.
Use array models to help you.
Example
a.
5 groups of 6 dots
5
30
6
7 groups of 6 dots
5 groups of 6 dots 2
30 94
groups of 6 dots
42
12
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b.
Chapter 6 Lesson 6.2
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9. a.
b.
5 groups of 6 dots
8 groups of 6 dots
5 groups of 6 dots groups of 6 dots
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10. a.
b.
10 groups of 6 dots
9 groups of 6 dots
10 groups of 6 dots group of 6 dots
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Multiply. Use array models to help you.
11.
36
12.
26
13.
46
14.
56
15.
06
16.
16
17.
66
18.
86
19.
96
20.
76
21.
10 6 22.
6 12 18
23.
24 30 36
96
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Complete each number pattern.
Use the multiplication table of 6 to help you.
Chapter 6 Lesson 6.2
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Worksheet 3
Multiply by 7
Complete.
Example
1 group of 7 dots 1 7
7
1.
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2 groups of 7 dots 2.
10 groups of 7 dots Reteach 3A
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Date:
Shade the dots to show the multiplication sentence.
Then fill in the blanks.
Example
4⫻7⫽
28
5⫻7⫽
4.
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3.
8⫻7⫽
98
Chapter 6 Lesson 6.3
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Express each array model as a multiplication fact.
5.
7
6.
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7.
7
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Fill in the missing numbers. Use array models to help you.
Example
a.
b.
5
35
6 groups of 7 dots
5 groups of 7 dots 7
1
35
group of 7 dots
7
42
b.
8. a.
5 groups of 7 dots
8 groups of 7 dots
5 groups of 7 dots groups of 7 dots
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5 groups of 7 dots
100
Chapter 6 Lesson 6.3
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9. a.
b.
10 groups of 7 dots
9 groups of 7 dots
10 group of 7 dots group of 7 dots
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10. a.
b.
10 groups of 7 dots
8 groups of 7 dots
10 groups of 7 dots groups of 7 dots
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Multiply. Use array models to help you.
11.
27
12.
37
13.
57
14.
47
15.
07
16.
17
17.
77
18.
67
19.
87
20.
97
21.
78
22.
7 10 23.
7 14 21
24.
21 28 35
102
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Complete each number pattern.
Use the multiplication table of 7 to help you.
Chapter 6 Lesson 6.3
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Worksheet 4
Multiply by 8
Complete.
Example
1 group of 8 dots 1 8
8
1.
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2 groups of 8 dots 2.
10 groups of 8 dots Reteach 3A
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Shade the dots to show the multiplication sentence.
Then fill in the blanks.
Example
5⫻8⫽
40
4⫻8⫽
4.
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3.
7⫻8⫽
104
Chapter 6 Lesson 6.4
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Date:
Express each array model as a multiplication fact.
Example
2
8
16
5.
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6.
8
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Fill in the missing numbers. Use array models to help you.
Example
a.
b.
5 groups of 8 dots
5
6 groups of 8 dots
5 groups of 8 dots 8
1
40
40
group of 8 dots
8
b.
7. a.
5 groups of 8 dots
8 groups of 8 dots
5 groups of 8 dots groups of 8 dots
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48
106
Chapter 6 Lesson 6.4
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8. a.
b.
10 groups of 8 dots
9 groups of 8 dots
10 groups of 8 dots group of 8 dots
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9. a.
b.
7 groups of 8 dots
10 groups of 8 dots 10 groups of 8 dots
groups of 8 dots
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Multiply. Use array models to help you.
10.
38
11.
28
12.
58
13.
48
14.
08
15.
18
16.
68
17.
78
18.
98
19.
88
20.
8 16 24
21.
24 32 40
108
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Complete the number pattern.
Use the multiplication table of 8 to help you.
Chapter 6 Lesson 6.4
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Worksheet 5
Multiply by 9
Complete.
Example
1 group of 9 dots 1 9
9
1.
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2 groups of 9 dots 2.
10 groups of 9 dots Reteach 3A
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Shade the dots to show the multiplication sentence.
Then fill in the blanks.
Example
5⫻9⫽
45
4⫻9⫽
4.
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3.
7⫻9⫽
110
Chapter 6 Lesson 6.5
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Date:
Express each array model as a multiplication fact.
Example
3
9
27
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5.
6.
9
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Fill in the missing numbers. Use array models to help you.
Example
a.
b.
5
45
7 groups of 9 dots
5 groups of 9 dots 9
2
45
groups of 9 dots
18
63
b.
7. a.
5 groups of 9 dots
8 groups of 9 dots
5 groups of 9 dots groups of 9 dots
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5 groups of 9 dots
112
Chapter 6 Lesson 6.5
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8. a.
b.
10 groups of 9 dots
9 groups of 9 dots
10 groups of 9 dots group of 9 dots
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9. a.
b.
10 groups of 9 dots
8 groups of 9 dots
10 groups of 9 dots groups of 9 dots
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Multiply. Use array models to help you.
10.
29
11.
39
12.
59
13.
49
14.
09
15.
19
16.
69
17.
79
18.
99
19.
89
Use finger counting to find the multiplication facts of 9.
8
1
2 9 18
20.
39
21.
59
22.
97
23.
96
24.
49
25.
98
26.
10 9 27.
99
Complete the number pattern.
Use the multiplication table of 9 to help you.
28.
9 18 27
29.
27 36 45
114
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Bend your second finger
to show 2 times 9.
2 9 18
Chapter 6 Lesson 6.5
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Worksheet 6
Division: Finding the Number of Items
in Each Group
The 12 pineapples have been
divided into 6 equal groups.
Each group has 2 pineapples.
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Total number
of items
12
Number of items
in each group
Number of
groups
6
2
Study the diagram.
Then complete the division sentence.
Example
21
7
3
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2.
116
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1.
Chapter 6 Lesson 6.6
11/2/09 8:55:40 AM
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Date:
Circle the items into groups to show the division sentence.
Then fill in the blanks.
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Example
18 6 3.
3
28 7 Reteach 3A
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35 7 5.
27 9 © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
4.
118
Chapter 6 Lesson 6.6
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Worksheet 7
Division: Making Equal Groups
Number of items
in each group
Total number
of items
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16
2
Number of
groups
8
Complete the division sentence. Circle the items into groups
to help you.
Example
14
2 7
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1.
4 5 3.
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2.
3 120
Chapter 6 Lesson 6.7
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Date:
Draw a diagram to show the division story.
Then complete the division sentence.
4.
Graham has 56 stamps. He puts them equally into groups of 8.
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5.
Rex puts 36 apples equally into 9 boxes.
Write two multiplication and two division sentences using
the given numbers. Each number can be used more than once.
6.
7 6 42 48
Multiplication sentences:
Division sentences:
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7.
Date:
5 45 20 4
Multiplication sentences:
Division sentences:
8.
7 63 56 8
Division sentences:
9.
122
Write four numbers and ask your friend to write two
multiplication and two division sentences using the numbers.
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Multiplication sentences:
Chapter 6 Lesson 6.7
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