6th Grade Math Textbook, Fundamentals

Think

Distribute the number

for aacross the sum

or difference.

Lesson 5-12 for exercise sets. &KDSWHU 

3UDFWLFH   $FWLYLWLHV

You can use the Distributive Property to compute

with rational numbers.

Sometimes the Distributive Property can help you compute mentally

when one of the factors is a mixed number.

(  )^2 ( ^2 )

Associative Property of Addition

grouping

changed

1

4

1

5

 1

8

1

5

1

4

 1
1 8 •  •

Commutative Property of Multiplication

 4

9 order

changed

3

5

3

5

 4

(^29)
Multiply: 2 • (14)
2 (14) 2(14)  (14)
 28 (7)
 35
1
2
1
2
1
1 2 Multiply: 3 •
(^3) () (^3) () ()

 2 ^13213
2
6
6
3
2
3
2
3
2
3
2
3
1
2
1
2
1
(^22)
Identify the properties used.
Distributive Property of Multiplication
Over Addition
a(bc) (a• b) (a• c)
(^2) ( 1  (^2) )( 2 • 1 )( 2 • 2 )
( • )( • )

 11  11
1
2
1
2
1
4
2
8
90
8
55
8
35
8
11
4
5
2
7
4
5
2
3
4
3
4
3
4
3
4
1
2
Distributive Property of Multiplication
Over Subtraction
a(bc) (a• b) (a• c)
(  )( • )( • )

()

2
18
6
18
2
18
2 • 3
6 • 3
2
9
4
18
2
3
2
3
2
3
2
18
2
6
1
6
1
2
1
6
1
2
Think
212  2 ^12
Think
312  3 ^12
Name the property used.

1. () 1 2. • 1  3. 1  • 8 4. • ()• •  0

What value for the variable makes each sentence true? Name the property used.

5. •  • g 6.  0 h 7. ( 5  )( • 5)( • k)

8.Discuss and Write Explain how you can use the Distributive Property

to simplify the expression (5• 1)(5• 2). Simplify the expression

to support your answer.

1

2

1

6

1

2

5

6

 4

5

1

4

1

4

2

9

3

5

3

10

3

5

3

5

 2

3

3

 2

 5

7

 5

7

1

8

1

6

 2

3

0

1

3

4