© 2007 m. tallman. commutative property © 2007 m. tallman the order of the factors does not change...
TRANSCRIPT
© 2007 M. Tallman
The order of the factors does not change the
product.
15 5 3× =
factorsproduct
5 × 3=3 × 5
© 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
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
(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
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
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
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