Question

Which expression uses the greatest common factor and the distributive property to rewrite the sum 32 + 80?

O 16(2 + 80)
O 20(16 + 80)
• 16(2 + 5)
O 8(4 + 10)

Answer 1

The correct expression that uses the greatest common factor (GCF) and the distributive property to rewrite the sum 32 + 80 is 16(2 + 5).

Step-by-step explanation:

The correct answer is option 16(2 + 5). To find the greatest common factor (GCF) of 32 and 80, list the factors of both numbers. For 32, they are 1, 2, 4, 8, 16, and 32. For 80, they are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. The greatest factor they have in common is 16. Using the distributive property, divide both 32 and 80 by 16, which gives us 2 and 5 respectively. Thus, the expression that correctly uses the GCF and the distributive property to rewrite the sum 32 + 80 is 16(2 + 5).

To rewrite the sum 32 + 80 using the greatest common factor and the distributive property, we need to find the greatest common factor of 32 and 80, which is 16. We can then rewrite 32 as 16 times 2 and 80 as 16 times 5. So, the sum 32 + 80 can be rewritten as 16 times the sum of 2 and 5, which is 16(2 + 5).