Properties of Real Numbers

Identify the Property #1

100

7 x (9 x 3) = (7 x 9) x 3

Associative Property of Multiplication

200

8 + 5 = 5 + 8

Commutative Property of Addition

300

2 (3 - 9) = 2 x 3 - 2 x 9

Distributive Property

400

5 + (-5) = 0

Inverse Property of Addition

500

3 + 0 = 3

Identity Property of Addition

Identify the Property #2

100

4 x (1/4) = 1

Inverse Property of Multiplication

200

(3 + 8) + 1 = 3 + (8 + 1)

Associative Property of Addition

300

5 (6 + 4) = 5 x 6 + 5 x 4

Distributive Property

400

1 x 4 = 4

Identity Property of Multiplication

500

6 x 9 = 9 x 6

Commutative Property of Multiplication

Rewrite #1

100

Rewrite using Associative Property:

(1 x 6) x 8 = 

1 x (6 x 8)

200

Rewrite using the Distributive Property:

5(4 + 7)

5 x 4 + 5 x 7

300

Rewrite using the Distributive Property:

-2(9 + 0)

-2 x 9 + -2 x 0

400

Rewrite using Associative Property:

83 + (32 + 57) = 

(83 + 32) + 57

500

Rewrite using Commutative Property:

7 x 35 = 

35 x 7

Rewrite #2

100

Rewrite using Commutative Property:

12 + 31 = 

31 + 12

200

Rewrite using the Distributive Property:

-10(-2 - 4)

-10 x -2 + -10 x -4

300

Rewrite using Associative Property:

3 + (4 + 2) =

(3 + 4) + 2

400

Rewrite using Commutative Property:

10 x 9 =

9 x 10

500

Rewrite using the Distributive Property:

-3(2 - 1)

-3 x 2 + -3 x -1

Inverse

100

Find the additive inverse:

-6

6

200

Find the multiplicative inverse:

-3

-(1/3)

300

Find the additive inverse:

9

-9

400

Find the multiplicative inverse:

8

1/8

500

Find the additive inverse:

11

-11