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Associative, Communative, Distribuitve properties
7th Grade Algebra
6
Mathematics
7th Grade
10/18/2011

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Term
Commutative Property of Addition
Definition
You can add number in a sum in any order.

3+ (-8) = -8 + 3
Term
Commutative Property of Multiplication
Definition
You can multiply factors in a product in any order.

5(-6) = -6 (5)
Term
Associative Property of Addition
Definition
Changing the grouping of numbers will not change their sum. Has to have at least 3numbers with two of them in parenthesis.

(2 + 3) + 4 = 2 + (3 + 4 )
Term
Associative Property of Multiplication
Definition
Changing the grouping of factors will not change their product. Has to have at least 3numbers with two of them in parenthesis.

(7 x 4) x 5 = 7 x (4 x 5)
Term
Identity Property
Definition
multiplying by 1 doesn't change the value of the number.

6 + 0 = 6
6 + 1 = 6
Term
The Distributive Property
Definition
You can multiply a number and a sum by multiplying the number by each part of the sum and then adding these products. The same property applies to subtraction.
6(4+3) = 6(4) + 6(3)
7(8-5) = 7(8) - 7 (5)
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