Question

Choose a number sentence is that illustrates distribute property of multiplication over addition 2×7+8 = 2+7×2+8

Answer 1

`(b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)`

Explanation:

Given

`(a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)`

`(b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)`

`(c)\ 2 * (7 + 8) = (2 * 7) + 8`

Required

Which illustrates distributive property of multiplication over addition

The property states that:

`a(b + c) = a * b + a * c`

By comparison

`a = 2\ b = 7\ c = 8`

So, we have"

`2(7 + 8) = 2 * 7 + 2 * 8`

`2(7 + 8) = (2 * 7) + (2 * 8)`