6th Grade Math Textbook, Progress

Update your skills. See page 12.

Addition Properties: Fractions

7-1

The properties of addition are true for whole numbers,

decimals, and fractions. The properties can help you

compute with fractions mentally.

Commutative Property of Addition: a
bb
a

^1

5


^2

5

^2

5


^1

5



^1

5

 
 ^2

5

 ^2

5

 
 ^1

5



Associative Property of Addition: (a
b)
ca
(b
c)

(

3

8


^1

8

)
^2

8

^3

8


(^1

8


^2

8

)

^4

8

 
^2

8

^3

8


 ^3

8



^3

8


^1

8

 
 ^2

8

 ^3

8

 
(^1

8


^2

8

)

Identity Property of Addition: a
 0 a

^12 
 0 ^12 

^12 ^12 

Inverse Property of Addition: a
(a) 0

^1

2





^1

2

 0

0  0

0

5

5

5

0 1

1

5

2

5

3

5

4

5

0

5

5

5

1

1

5

2

5

3

5

4

5

0

1

0

8

1

8

2

8

3

8

4

8

5

8

6

8

7

8

8

8

(^01)
0
8
1
8
2
8
3
8
4
8
5
8
6
8
7
8
8
8
0
0 1
2
1
0 1
2
1
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