Distributive Property Arrays

Select the correct number model with the rectangular array

• 4 + 4 + 4 + 4 = 16

• 4 x 4 = 16

• 16 + 0 = 16

• 16 x 1 = 16

A multiplication fact can represent an array, and this fact can break apart into the sum of two products. This is the idea behind the...

• Commutative Property

• Associative Property

• Distributive Property

• Zero Property

Which property allows you to break apart an array into smaller arrays?

• Commutative

• Associative

• Distributive

• Zero

According to the Distributive Property of Multiplication, 7 x 4 may be broken apart into (5x4) + (2x4) because...

• 7 = 5 + 2

• 7 x 4 = 4 x 7

• 7 rows and 4 columns

• 5 x 2 = 10

Using the Distributive Property, an array with 6 rows and 7 columns can be broken apart in which way?

• two smaller arrays with 3 rows of 7 each.

• two smaller arrays with 3 rows of 4 each.

• 2 smaller arrays with 6 rows of 5 in one and 2 in the other.

• 2 smaller arrays with 4 rows and 2 columns because 4 + 2 = 6.

To find a product of an unknown fact, the Distributive Property may be used...

• to break apart an unknown fact into two known facts.

• to break apart the product into equal groups.

• to break apart the total to find an unknown factor.

• to break apart the equation and the unknown.

• 2x6
• 1x6
• 6x2
• 2x4

4 + 4 + 4 is the same as

• 4x1

• 4x3

• 3x4

• 4x4