Distributive Property with Arrays

The model makes difficult multiplication easier to solve. The original equation was:

• 8 x 8 = ?

• 5 x 8 = 40

• 7 x 8 = ?

• 7 x 16 = ?

Oscar was thinking about using a doubles strategy because 4 is an even number. Which equation could he use with this model?

• 4 x 6 = (2 x 5) + (2 x 1)

• 4 x 6 = (2 x 6) + (2 x 6)

• 4 x 6 = (1 x 6) + (3 x 6)

Break apart the large array 7 x 7 as two smaller arrays.

Use (5 x 7) + (____ x 7)

4 x 8 = ( ___ x 8 ) + ( 2 x 8 )

If Jaylen adds two more rows of chairs, which equations matches his arrangement?

• 5 x 4

• ( 3 x 4 ) + ( 2 x 4 )

• ( 3 x 4 ) + 2

• ( 2 x 4 ) + ( 1 x 4 )

Which shows the distributive property for this array?

• (10 + 4) + (10 + 10)

• (10 x 10) + (10 x 4)

• (14 x 4) + (14 + 10)

• (4 x 4) + (10 x 10)

Which shows how to chop this array using the distributive property. Hint: This is a 10 x 8 array.

• (8 x 10)

• (8 x 8)

• (10 x 3)

• (8 + 10)

What goes in the box with the question mark?

• 40 x 5

• 30 x 6

• 6 x 40

• 5 x 6