© 2007 M. Tallman. Commutative Property © 2007 M. Tallman The order of the factors does not change...
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Transcript of © 2007 M. Tallman. Commutative Property © 2007 M. Tallman The order of the factors does not change...
© 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
