© 2007 M. Tallman. Commutative Property © 2007 M. Tallman The order of the factors does not change the product. 15 53 × = factors product 5 × 3 = 3 ×

© 2007 M. Tallman

© 2007 M. Tallman

•Commutative Property

© 2007 M. Tallman

The order of the factors does not change the

product.

15 5 3× =

factorsproduct

5 × 3=3 × 5

© 2007 M. Tallman

15

=3×5 15

=5×3

© 2007 M. Tallman

3 × 5 = j × 3 12 × p = 7 × 12 f × 6 = 6 × 9 9 × 4 = 4 × s

j = 5p = 7f = 9s = 9

Use the Commutative Property to find the value of the variable.

© 2007 M. Tallman

•Commutative Property

•Associative Property

© 2007 M. Tallman

The way the factors are grouped does not change the product. In math, parentheses are used to group numbers. They tell us which part of the problem to solve first.

= 24 2 4××3( )

(3 × 2) × 4=3 × (2 × 4)

© 2007 M. Tallman

=

24(3×2)×4=

24(3× 2 )×4

© 2007 M. Tallman

(8 × 5) × 12 = w × (5 × 12) (8 × e) × 2 = 8 × (9 × 2) y × (5 × 8) = (4 × 5) × 8 5 × (4 × 1) = (5 × 4) × h

w = 8e = 9y = 4h = 1

Use the Associative Property to find the value of the variable.

© 2007 M. Tallman

•Commutative Property

•Associative Property• Identity Property

© 2007 M. Tallman

The product of any number and 1 equals the

number.

1 × 13 = 13

© 2007 M. Tallman

1 13× =13

© 2007 M. Tallman

Use the Identity Property to find the value of the variable.

39 × 1 = u 2,198 × b = 2,198 z × 68 = 68901 = 1 × s

u = 39b = 1z = 1s = 901

© 2007 M. Tallman

•Commutative Property

•Associative Property• Identity Property•Zero Property

© 2007 M. Tallman

The product of any number and 0 equals zero.

4 × 0 = 0

© 2007 M. Tallman

4 0× = 0

© 2007 M. Tallman

Use the Zero Property to find the value of the variable.

82 × 0 = u 218 × b = 0 z × 629 = 09,788 = 0 × s

u = 0b = 0z = 0s = 0

© 2007 M. Tallman

© 2007 M. Tallman

8 × 3 = 3 × 8

© 2007 M. Tallman

4 × (7 × 8) = (4 × 7) × 8

© 2007 M. Tallman

9 × 1 = 9

© 2007 M. Tallman

22 × 0 = 0

© 2007 M. Tallman

(5 × 4) × 3 = 5 × (4 × 3)

© 2007 M. Tallman

4 × 0 = 0

© 2007 M. Tallman

34 × 1 = 34

© 2007 M. Tallman

53 × 5 = 5 × 53

© 2007 M. Tallman

11 × 9 = 9 × 11

© 2007 M. Tallman

6 × (9 × 8) = (6 × 9) × 8

© 2007 M. Tallman

0 × 345 = 0

© 2007 M. Tallman

1 × 8 = 8

© 2007 M. Tallman

Multiply. Then write a different multiplication sentence using the Commutative Property.

1. 3 × 32. 5 × 33. 5 × 94. 6 × 85. 7 × 96. 4 × 67. 3 × 88. 7 × 49. 2 ×

1110. 12 ×

3

= 9= 15= 45= 48= 63= 24= 24= 28= 22= 36

3 × 3 = 93 × 5 =

159 × 5 =

458 × 6 =

489 × 7 =

636 × 4 =

248 × 3 =

244 × 7 =

2811 × 2 =

223 × 12 =

36