Properties with Variables

Question 1

Commutative Property-

Answer 1

The order of the addends or factors does not change the sum or product.

Question 2

Associative Property-

Answer 2

The way in which numbers are grouped does not change the sum or the product.

Question 3

Identity Property-

Answer 3

You get the identical answer you start with either by adding 0 or multiplying by 1.

Question 4

Zero Property –

Answer 4

If one of your factors is a zero, your product is zero.

Question 5

Distributive Property of Multiplication over
Addition -

Answer 5

You multiply a sum by multiplying each addend separately and then add the products.

Question 6

Distributive Property of Multiplication over Subtraction -

Answer 6

You multiply a difference by multiplying each number separately and then subtract the products.