Question

Beth used the distributive property to rewrite the expression, 48 + 32, as 8(6 + 4). Beth claims she factored out the greatest common factor of 48 and 32.

Answer 1

Ans.

48 = 2 × 2 × 2 × 2 × 3
32 = 2 × 2 × 2 × 2 × 2

So, GCF(48, 32) = 2 × 2 × 2 × 2 = 16.

I DON'T GET THAT HOW BETH FACTORED OUT THE GCF OF 48 AND 32.

Answer 2

Her claim that she factored out the greatest common factor of 48 and 32 is wrong.

Step-by-step explanation:

Beth used the distributive property of multiplication and rewrite the expression (48 + 32) as 8(6 + 4).

This is true as the distributive property is applied properly.

Now, Beth claims she factored out the greatest common factor of 48 and 32.

Now, the prime factors of 48 are 2, 2, 2, 2, 3 and the prime factors of 32 are 2, 2, 2, 2, 2.

Therefore, the greatest common factor of 48 and 32 is 2 × 2 × 2 × 2 = 16.

So, her claim that she factored out the greatest common factor of 48 and 32 is wrong. (Answer)