Commutative, Associative, Identity, Inverse, Multiplicative,and Distributive

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Commutative Property of Addition

Changing the order of the addends does not change the sum. a + b = b + a

Identity Property of Addition

-Allows you to add (or subtract) O to or from any number or variable and NOT effect the IDENTITY (value) of the number/variable

Identity Property of multiplication

If you multiply a number by one, the product is the same a x 1=

Distributive Property

States that the product of a number and a sum is equal to the sum of the individual products of addends and the number a(b + c) = ab + ac

Inverse Property of Multiplication

The product of a number and its reciprocal is 1. 4(1/4)= 1

Associative Property of Multiplication

Words: Changing the grouping of numbers in a product doesn't change the product (a x b) x c = a x (b x c)

Multiplicative Property of Zero

Any number multiplied by zero is zero a x 0 = 0

Associative Property of Addition

Changing the grouping of three or more addends does not change the sum. (a+b)+c=a+(b+c)

Inverse Property of Addition

add the opposite a+(-a)=0

Commutative Property of Multiplication

the order in which you multiply numbers does not change their product a x b = b x a

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