p t multiplication tables a h of 6, 7, 8, and...
TRANSCRIPT
93
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Practice 1 Multiplication PropertiesLook at each number line. Write the multiplication fact.
Multiplication Tables of 6, 7, 8, and 9
C
hapte
r
Lesson 6.1 Multiplication Properties
1.
� �
2.
� �
3.
0 2 4 6 8 14 1610 12
� �
0 7 14 21 28
0 5 10 15 20 25
94
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Complete each multiplication fact. Then show on each number line.
4. 4 � 5 �
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20 21 22
5. 5 � 3 �
Look at the array model. Write the multiplication fact.
6. 1 2 3 4
123
� � � �
Example
1 2 3 4 5
1
2
� � � � 2 5 10 5 2 10
1 2 3
1234
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20
1 2
12345
95
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Look at the array model. Write the multiplication fact.
7.
1 2 3 4
1
5 6
1
123456
1 � � � �
8. 1 2 3 4 51
2
3
3 � � � 3
�
Complete the multiplication fact. Then show on each number line.
9. 2 � 5 � 0 42 6 8 91 3 5 7 10
5 � 2 � 0 42 6 8 91 3 5 7 10
So, � 5 � 5 �
� .
Lesson 6.1 Multiplication Properties
96
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Fill in the missing numbers.
10. 2 0 11. 0 4
12. 5 1 13. 1 10
Complete each multiplication fact. Then show on the number line.
14. 2 4 2
5
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20
2 3 3 3 ?
Step 1 2 3
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18
Step 2 6 3
So, 2 3 3
5
6
36
18
18
Example
97
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Practice 2 Multiply by 6Look at each array model. Write the multiplication fact.
1.
� �
2.
1
2
3
4
1 2 3 4 5 6
5
6
� �
� �
1
2
3
4
1 2 3 4 5 6
4 6 24
Lesson 6.2 Multiply by 6
1
2
3
4
1 2 3 4 5 6
5
Example
98
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Fill in the missing numbers.
3. 8 sixes � 8 �
4. 5 � 6 � sixes
5. 7 � 7 � 7 � 7 � 7 � 7 � 6 �
6. 6 � 6 � 6 � 6 � 6 � 6 � 6 � 7 �
7. 10 � 6 � 6 �
8. 3 sixes � 6 � 6 �
Multiply. Use multiplication facts you know to find other multiplication facts.
9. 6 � 4 � groups of 4
� 5 groups of 4 � group of 4
� �
�
10. 5 � 6 �
7 � 6 � groups of 6
� 5 groups of 6 � groups of 6
� �
�
11. 10 � 6 �
8 � 6 � groups of 6
� 10 groups of 6 � groups of 6
� �
�
99
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Multiply and match.
12.
9 � 6
8 � 6
10 � 6
7 � 6
6 � 6
5 � 6
4 � 6
3 � 6 2 � 648
42
54
24
30
12
36
6018
Lesson 6.2 Multiply by 6
100
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Solve.
13. James has 8 toy trucks. Each toy truck has 6 wheels. How many wheels do the toy trucks have in all?
� 6 �
The toy trucks have wheels in all.
14. An insect has 6 legs. How many legs do 4 insects have?
� �
4 insects have legs.
15. A cube has 6 sides. How many sides do 9 cubes have in all?
� 6 �
9 cubes have sides in all.
101
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Practice 3 Multiply by 7 Look at each area model. Write the multiplication fact.
1.
2.
� �
� �
� �
5 7 35
Lesson 6.3 Multiply by 7
Example
102
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Fill in the missing numbers.
3. 6 sevens � 6 �
4. 9 � 7 � sevens
5. 5 � 5 � 5 � 5 � 5 � 5 � 5 � 7 �
6. 7 � 7 � 7 � 7 � 7 � 5 �
7. 10 � 7 � 7 �
8. 4 sevens � 7 � 7 � 7 �
Multiply. Use multiplication facts you know to find other multiplication facts.
9. 7 � 4 � 5 groups of 4 � groups of 4
� �
�
10. 5 � 7 �
7 � 7 � 5 groups of 7 � groups of 7
� �
�
11. 10 � 7 �
9 � 7 � 10 groups of 7 � group of 7
� �
�
103
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Multiply and match.12.
6 � 749
28
14
35
56
70
21
42
3 � 7
7 � 7
10 � 7
2 � 7
5 � 7
8 � 7
9 � 7
4 � 763
Lesson 6.3 Multiply by 7
104
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Solve.
13. Mrs. Thompson buys 2 books. Each book costs $7. How much does Mrs. Thompson pay in all?
2 � $7 � $
Mrs. Thompson pays $ in all.
14. A box contains 7 crayons. Alex packs 10 such boxes into his bag. How many crayons does Alex have in all?
10 � 7 �
Alex has crayons in all.
15. Mr. Dean gives each student 7 okras in art class. How many okras does he give 4 students?
4 � 7 �
He gives 4 students okras.
105
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Practice 4 Multiply by 8Complete the multiplication fact. Then show on the number line.
1. 3 � 8 �
Complete the multiplication fact. Then shade to show on the area model.
2. 6 � 8 �
Fill in the missing numbers.
3. 8 eights � 8 �
4. 3 eights � � 8
5. 6 � 6 � 6 � 6 � 6 � 6 � 6 � 6 � 8 �
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20 21 22 23 24
Lesson 6.4 Multiply by 8
106
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
6. 8 � 8 � 8 � 8 � 8 � 8 � 6 �
7. 5 � 8 � 8 �
8. 5 eights � 8 � 8 � � �
Multiply. Use multiplication facts you know to find other multiplication facts.
9. 8 � 4 � 10 groups of 4 � groups of 4
� �
�
10. 10 � 8 �
8 � 8 � groups of 8
� 10 groups of 8 � groups of 8
� �
�
11. 5 � 8 �
7 � 8 � groups of 8
� 5 groups of 8 � groups of 8
� �
�
107
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Multiply and match.
12.
40
64
8
24
16
72
32
48
56
2 � 8
5 � 8
6 � 8
3 � 8
4 � 8
8 � 8
9 � 8
7 � 8
?
13. What is the missing multiplication fact?
Lesson 6.4 Multiply by 8
108
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Solve.
14. 8 children make up a team. How many children make up 7 teams?
children make up 7 teams.
15. A chocolate cake has 8 cherries. How many cherries do 6 such cakes have?
6 such cakes have cherries.
An octagon has 8 equal sides.How many sides do 5 octagons have?
octagon
5 octagons have sides.
5 8 = 40
40
Example
109
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Practice 5 Multiply by 9Complete the multiplication fact. Then show on the number line.
1. 2 � 9 �
Complete the multiplication fact. Then show on the area model.
2. 7 � 9 �
Fill in the missing numbers.
3. 3 nines � 3 �
4. 4 nines � � 9
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20
Lesson 6.5 Multiply by 9
110
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Fill in the missing numbers.
5. 9 � 9 � 9 � 9 � 9 � 9 � 6 �
6. 6 � 6 � 6 � 6 � 6 � 6 � 6 � 6 � 6 � 9 �
7. 9 � 8 � 8 �
8. 8 nines � 9 � 9 � 9 � 9 � 9 � 9 � �
Use multiplication facts to help you.
9. 10 � 4 �
9 � 4 � 10 groups of 4 � group of 4
� �
�
10. 10 � 9 �
9 � 9 � 10 groups of 9 � group of 9
� �
�
11. 5 � 9 �
6 � 9 � 5 groups of 9 � group of 9
� �
�
4 � 9 � 9 � 4
111
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Match each ball to the correct basket.
12.
9 nines
9 � 9 � 9 � 9 � 9
4 nines
27
2 � 9
5 � 9
9 � 9
3 � 9
81
7 � 9
27
18
45
6 � 9
4 � 9
9 � 9
54
36
7 nines
9 � 9 � 9 � 9 � 9 � 9
63
Lesson 6.5 Multiply by 9
112
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Solve.13. Pamela pastes stickers on 4 cards. She pastes 9 stickers on each card. How many stickers does she paste in all?
� 9 �
She pastes stickers in all.
Use the pictures to write a multiplication story.
14.
scissors$6
scissors$6
marker$4
pencil$2
113
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Practice 6 Division: Finding the Number of Items in Each Group
Write two related division sentences.
1. 9 � 5 � 45
45 � �
45 � �
2. 7 � 9 � 63
63 � �
63 � �
3. 8 � 6 � 48
48 � �
48 � �
6 � 7 � 42
42 � �
42 � �
Lesson 6.6 Division: Finding the Number of Items in Each Group
767
6
Example
114
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
Fill in the missing numbers.
4. 7 � � 49 So, 49 � 7 � .
5. 8 � � 48 So, 48 � 8 � .
6. 9 � � 45 So, 45 � 9 � .
Solve.
7. Mrs. Brown has 9 purses with 54 coins. Each purse has the same number of coins. How many coins does each purse have?
� �
Each purse has coins.
8. Austin collects 63 seashells. He puts them equally into 7 boxes. How many seashells does each box contain?
� �
Each box contains seashells.
6 � � 42 So, 42 � 6 � .7 7Example
115
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Practice 7 Division: Making Equal GroupsFill in the missing numbers.
1. � 6 � 54 2. � 8 � 56
54 � 6 � 56 � 8 �
Divide.3. 21 � 7 � 4. 64 � 8 �
5. 63 � 9 � 6. 48 � 6 �
Solve.7. One tank holds 8 gallons of water. How many tanks are needed to hold 72 gallons of water?
� � tanks are needed to hold 8 gallons of water each.
8. Donald packs 36 apples into some bags. Each bag contains 9 apples. How many bags does Donald use?
� � Donald uses bags.
Lesson 6.7 Division: Making Equal Groups
116
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
1. Show 3 � 6 on the number line.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20
2. Draw an array model to show 5 � 7.
3. Show 8 � 9 with the area model.
Solve.
117
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Name: Date:
Number: Reason:
4. 49 21 32
63 42 35
3. 72 40 64
24 36 56
Put On Your Thinking Cap!
Complete each skip-counting pattern.
1. 70 63 56 35
14 7
2. 80 72 64
16 8
Identify a number that does not belong in the group.Then write the reason. Use the number patterns to help you.
Number: Reason:
Challenging Practice
Chapter 6 Multiplication Tables of 6, 7, 8 and 9
118
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Pri
vate
Lim
ited.
Chapter 6 Multiplication Tables of 6, 7, 8, and 9
1. I am a two-digit number. I am less than 50. Count in sixes and you will fi nd me! Divide my tens digit by 2 and you will fi nd my ones digit. What am I?
Number Tensdigit
Onesdigit Check
12 1 2
12 � 6 �
I am .
Put On Your Thinking Cap!
Make a systematic list as shown below to help you.
Problem Solving