Multiplication Properties

Multiplication Properties

Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands.
For example:
4 x 2 = 2 x 4
8 x 4 = 4 x 8
9 x 6 = 6 x 9

Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors.
For example:
(2 x 3) x 4 = 2 x (3 x 4)
(3 x 5) x 6 = 3 x (5 x 6)
(5 x 6) x 7 = 5 x (6 x 7)

Multiplicative Identity Property: The product of any number and one is that number.
For example:
5 x 1 = 5
9 x 1 = 9
11 x 1 = 11

Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.

For example:
4 x (6 + 3) = 4 x 6 + 4 x 3