Propertiesof

Multiplication

Vocabulary

Product: the answer to an multiplication problem.

Factor: any of the numbers multiplied together in an problem.

Grouping: the order in which numbers are grouped together in a problem.

Multiplicand: a number that is multiplied by another. Since the numbers in a multiplication problem can be put in any order, factor is a better term.

Introducing… The Properties of Multiplication!

Multiplicative IdentityDistributiv

eCommutative

Associative“Zero”

The Distributive Property of Addition over Multiplication

The sum of two numbers, multiplied by a third number, is equal to the sum of each addend times the third number.

For example:

4 x (6 + 3) = 4x6 + 4x3

The Commutative Property of

Multiplication When two numbers are multiplied together,

the product is the same regardless of the order of the multiplicands/factors.

For example:

4 x 2 = 2 x 4

The Associative Property of

Multiplication 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)

The Additive Identity Property of

Multiplication The product of any number and one is that

number.

For example:

5 x 1 = 5.

Zero Property

The product of any number and zero is zero. It doesn't matter what the number is, when you multiply it to zero, you get zero as the answer.

For Example:

2 x 0 = 0.