Properties of Multiplication

Properties of Multiplication

In this lesson, you will learn the rules that you can use to solve multiplication problems quickly.

Associative Property

If you are using only multiplication in a problem, you can group factors in any order you want and get the same answer.

Multiple Choice

Which is an example of the Associative Property of Multiplication?

• 8 x 7 = 56

  7 x 8 = 56

• 2 x ( 5 x 4 ) = 40

  ( 2 x 5 ) x 4 = 40

• 18 x 0 = 0

• 1 x 9 = 9

Commutative Property

Similar to the Associative Property, you can switch the order of factors and still get the same answer.

Multiple Choice

Which is an example of the Commutative Property of Multiplication?

• 8 x 7 = 56

  7 x 8 = 56

• 2 x ( 5 x 4 ) = 40

  ( 2 x 5 ) x 4 = 40

• 18 x 0 = 0

• 1 x 9 = 9

Distributive Property

You can decompose a multiplication problem into the sum of two smaller problems

Multiple Choice

Which is an example of the Distributive Property of Multiplication?

• 8 x 7 = 56

  7 x 8 = 56

• 2 x ( 5 x 4 ) = 40

  ( 2 x 5 ) x 4 = 40

• 18 x 0 = 0

• 14 x 5 =

  ( 10 x 5 ) + ( 4 x 5 )

Identity and Zero Properties

• Identity Property - when you multiply any number by 1, the answer is that same number.

• Zero Property - when you multiply any number by 0, the answer is alwasy zero.

Multiple Choice

Which is an example of the Identity Property of Multiplication?

• 8 x 7 = 56

  7 x 8 = 56

• 27 x 1 = 27

• 18 x 0 = 0

• 14 x 5 =

  ( 10 x 5 ) + ( 4 x 5 )

Multiple Choice

Which is an example of the Zero Property of Multiplication?

• 8 x 7 = 56

  7 x 8 = 56

• 27 x 1 = 27

• 18 x 0 = 0

• 14 x 5 =

  ( 10 x 5 ) + ( 4 x 5 )