Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property.

14 + 24
Responses
A 4(10 × 20)4(10 × 20)
B 4(10 + 20)4(10 + 20)
C 2(7 + 12)2(7 + 12)
D 2(7 × 12)

3 answers

The GCF of 14 and 24 is 2.

Using the distributive property:

14 + 24 = 2*7 + 2*12

= 2(7 + 12)

Therefore, the answer is C: 2(7 + 12)
Choose all that are correct.
Responses
A 45 + 54 = 9(7 + 6)45 + 54 = 9(7 + 6)
B 64 + 24 = 8(8 + 3)64 + 24 = 8(8 + 3)
C 40 + 28 = 4(10 + 7)40 + 28 = 4(10 + 7)
D 24 + 18 = 6(4 + 9)
A: 45 + 54 = 9(7 + 6) is correct.

B: 64 + 24 = 8(8 + 3) is correct.

C: 40 + 28 = 4(10 + 7) is correct.

D: 24 + 18 = 6(4 + 9) is not correct.

The correct way to factor 24 + 18 is:

24 + 18 = 6(4) + 6(3)

= 6(4 + 3)

= 6(7)

So the correct response would be:

D: 24 + 18 = 6(7)