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Commutative Property of Addition

Changing the order of the values you are adding does not change the sum.

Commutative Property of Multiplication

Changing the order of the values you are multiplying does not change the product.

Associative Property of Addition

Changing the grouping of the values you are adding does not change the sum.

Associative Property of Multiplication

Changing the grouping of the values you are multiplying does not change the product.

Additive Identity

The sum of any number and zero is the original number.

Multiplicative Identitiy

The product of any number and 1 is the original number.

Distributive Property

To multiply a sum or difference, multiply each number within the parentheses by the number outside the parentheses.

Inverse Property of Addition

The sum of an integer and its additive inverse is zero.

Inverse Property of Multiplication

The product of a nonzero rational number and it's multiplicative inverse.