Properties of Multiplication

Properties of Multiplication

Today you will learn about the Properties of Multiplication! Let's begin!

What is a property?

Remember from our last unit - a property is a rule that is always true. Properties of multiplication are rules that are always true about multiplication. Let's learn about them!

There are five properties of multiplication

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

• Zero Property

Associative Property of Multiplication

The way you group numbers in a problem will not change the product. For example, 5 x (3 x 4) = (5 x 3) x 4.

Commutative Property of Multiplication

The order in which you multiply numbers will not change the product. For example, 3 x 4 = 4 x 3.

Distributive Property of Multiplication

A problem can be broken into the sum of two smaller parts. For example, 12 x 5 = (10 x 5) + (2 x 5). We decomposed 12 into 10 + 2, and then "distributed" the 5 to both addends.

Identity Property of Multiplication

The product of any number and 1 is that number. For example, 12 x 1 = 12.

Zero Property of Multiplication

The product of any number and zero is ZERO. For example, 11 x 0 = 0.

Let's Review!

Go to the next slide for a review. I warn you - the song is a BOP!

Multiple Choice

Which property is demonstrated by the following: 4 x 5 = 5 x 4

• Associative

• Distributive

• Commutative

• Identity

Multiple Choice

Which property is demonstrated by the following: 0 x 43 = 0.

• Zero

• Associative

• Commutative

• Identity

Multiple Choice

Which property is demonstrated by the following: (3 x 4) x 2 = 3 x (4 x 2).

• Commutative

• Identity

• Distributive

• Associative

Multiple Choice

Which property is demonstrated by the following: 6 x 4 = (2 x 4) + (4 x 4).

• Zero

• Associative

• Distributive

• Commutative

Multiple Choice

Which property is demonstrated by the following: 14 x 1 = 14.

• Identity

• Associative

• Zero

• Distributive

Poll

How do you feel about the lesson today? (3 = I'm a property rock star; 2 = I'm starting to get it; 1 = I need extra help)

• 1

• 2

• 3