Properties of Addition and Multiplication

Commutative Property of Addition

Changing the order of the addends does not change the sum.

Commutative Property of Multiplication

Changing the order of the factors does not change the product.

Identity Property of Additon

If you add zero to a number, the sum is the same as that number. 7 + 0 = 7

Identity Property of Multiplication

If you multiply a number by one, the product is the same as that number. 9 x 1 = 9

Zero Property of Mulitplication

Multiplying by 0 results in a product of 0 8 x 0 = 0

Quotient

The answer to a division problem

Product

The answer to a multiplication problem

Difference

The answer to a subtraction problem

Sum

The answer to an addition problem

Associative Property of Multiplication

Changing the grouping of three or more factors does not change the product.

Associative Property of Additon

the way in which you group three or more numbers when adding does not change their sum - a + (b + c) = (a + b) + c