Question

Which equation demonstrates the distributive property? A) 2 (5 + 7) = 2 (7 + 5) Eliminate B) 2 (5 + 7) = 2 × 5 + 2 × 7 C) (2 × 5) × 7 = 2 × (5 × 7) D) 7 × (2 × 5) = 7 × (5 × 2)

Answer 1

[|] Answer [|]

$\boxed{2(5 \ + \ 7) \ = \ 2 \ * \ 5 \ + \ 2 \ * \ 7}$

[|] Explanation [|]

Distributive Property:

Distributes / simplifies the equation out, making it easier to solve

2(5 + 7) = 2 * 5 + 2 * 7

This makes the problem easier because we are spreading the equation into several smaller parts, making it easer to do step by step. In the end, we get the problem done quicker and simpler.

It is called Distributive Property because we are distributing the problem / equation into many parts.

$\boxed{[|] \ Eclipsed \ [|]}$

Answer 2

B) 2 (5 + 7) = 2 × 5 + 2 × 7

Distributing the two multiples the five and seven and adds there them together.