Properties of Multiplication

The Distributive Property tells us that one factor in the multiplication problem can be broken apart to find partial products. The sum of the partial products is the product of the two factors. Which expression below is an example of this property?

• 2 x ( 3 x 4 ) = 3 x ( 4 x 2 )
• 13 x 4
• 4 x 13 = (10 x 4 ) + ( 3 x 4 )
• ( 1 x 3 ) x 4 = ( 3 x 4 ) x 1

The Identity property tells us that any number multiplied by 1 is that number.  Which expression below is an example of this property?

• 2 x 0 = 0
• 2 x 2 = 4
• 2 + 1 = 3
• 2 x 1 = 2

The Associative Property tells us that the grouping of the factors does not change the product. Which expression below is an example of this property?

• 2 x 3 x 4 = 3 x 2 x 4
• 4 x 13 = (10 x 4 ) + ( 3 x 4 )
• ( 1 x 3 ) x 4 = ( 3 x 4 ) x 1
• 2 x 0 = 0 x 2 = 0

The Zero Property of Multiplication states that any number multiplied by zero is equal to zero.  
Which expression below is an example of this property?

• 3 x 1 = 3
• 3 x 0 = 0
• 3 + 1 = 4
• 3 + 0 = 3

Which is an example of the Commutative Property of Multiplication?

• 4 x (1 x 2) = (4 x 1) x 2
• 2 x 2 = 4 x 1
• 2 x 3 = 12 ÷ 2
• 3 x 4 = 4 x 3

3 x (4 + 5) = (3 x 4) + (3 x 5)
This is an example of the _________ Property.

• Zero
• Associative
• Commutative
• Distributive

Which equation represents the Distributive Property of the following equation:
4 x 7

• (4 x 3) + (4 x 4)
• (4 + 3) x (4 + 4)
• (4 x 3) x (4 x 4)
• (4 + 3) + (4 + 4)

Which property is this an example of?
8 x (3 x 7) = (8 x 3) x 7

• Associative Property of Addition
• Identity Property of Multiplication
• Identity Property of Addition
• Associative Property of Multiplication

Which property is this an example of?
6 x 7 = 7 x 6

• Associative Property of Multiplication
• Commutative Property of Multiplication
• Identity Property of Multiplication
• Distributive Property

What number can I multiply ANY number by, and get that number?

• 2
• 0
• 10
• 1