Question

Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 24 + 16? *

A.8(3 + 2)
B.2(12 + 8)
C.(2)(12) + (2)(8)
D.8(4 + 2)

Answer 1

A. 8(3 + 2).

Explanation:

The GCF of 24 and 16 = 8.

24 / 8 = 3 and 16 / 8 = 2

so we have:

8(3 + 2).

Checking the result:

24 + 16 = 40.

8(3 + 2) = 8*3 + 8*2 = 24 + 16 = 40.