6th Grade Math Textbook, Progress

Find the value of n. Use the properties of multiplication.

1. 
   
   n 2.
   n 3. n
   


2. 
   n 0 5.
   0 n
   6.
   n
   


3. 41
   ( 51
   ^16 )( 41
   n)
   ^16 8. n
   (4 31 )( 21
   4)( 21
   31 )

7

10

2

3

7

10

1

3

1

3

1

2

5

6

5

6

3

8

3

8

3

4

3

4

1

5

Update your skills. See page 8.

Properties of Multiplication

8-3

The properties of multiplication can help you

multiply with fractions.

Commutative Property: a 
bb 
a Associative Property: (a 
b)
ca 
(b 
c)

^25 
^56 ^56 
^25  (^13 
^12 )
 14 ^13 
(^12 
 14 )

1 1 1 1 7 7

^25 
^56 ^56 
^25  ^16 
^114 ^13 
^124 

1 3 3 1 3 1

^25 
^13 ^13  ^73 ^73 

Identity Property: a 
 1  1 
aa Zero Property: a 
 0  0 
a 0

^47 
 1 ^47  ^34 
 0  0

1 


4

7 

4

7 ^0 


3

4 ^0

Distributive Property of Multiplication Over Addition: a 
(bc)(a 
b)(a 
c)

(  )( 
 )( 
 )

3 2 1


 ( 
 )( 
 )

 

(^35)  (^35)
1
5
2
5
3
5
2
5
1
2
4
5
1
2
6
5
1
2
2
5
1
2
4
5
1
2
2
5
4
5
1
2
Think
“order”
Think
“grouping”
Think
“same”
Think
“0 product”
(^111)
Think
“same factor across addends”
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