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