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commutative property of addition

If the order of the terms changes, the sum stays the same.

associative property of addition

When the grouping of terms changes, the sum stays the same.

Identity Property of Addition

The sum of 0 and any number is that number.

commutative property of multiplication

If the order of factors changes, the product stays the same.

associative property of multiplication

When the grouping of factors changes, the products stays the same.

identity property of multiplication

The product of 1 and any number is that number.

distributive property

Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.