Question

Which equation demonstrates the distributive property?

A) 36 + 8 = 44
B) 36 x 8 = 8 x 36
C) (9 + 2)4 = 4(9 + 2)
D) 36 + 8 = 4(9 + 2)

Answer 1

A) This doesn't include a property.

B) This is like commutative.

C) This is essentially commutative as well.

D) This envolves different numbers, but in some way are still the same numbers. The four is distributed to the nine and two. From that, you would get 36 and 8 which mirrors the other equation provided. When you add both numbers separately from each side, they equal each other. Therefore, D is the correct answer.

Answer 2

D) 36 + 8 = 4(9 + 2)

In this case, we see that 4 is distributed to all terms within the parenthesis, 9 and 2

9 x 2 =36

4 x 2 = 8

hope this helps