Commutative, Associative, and Identity Properties of Addition and Multiplication

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Additive Identity Property

When 0 is added to any number, the sum is the number

Multiplicative Property of Zero

When any number is multiplied by 0, the product is 0

Multiplicative Identity Property

When any number is multiplied by 1, the product is the number

Commutative Property of Addition

When the order of the numbers added doesn't change the sum

Commutative Property of Multiplication

When the order of the numbers multiplied doesn't change the product

Associative Property of Multiplication

When the product of the numbers doesn't change no matter where the parenthesis are

Associative Property of Addition

When the sum of the numbers doesn't change no matter where the parenthesis are


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