Use the GCF and the distributive property to write 24 +40 as a product

GCF(24,40) = 8

24+40 = 8(3+5)

Thank u i got it write

Thanks, I'm in 6th grade and I got it right.

fracist

To write 24 + 40 as a product using the greatest common factor (GCF) and the distributive property, we first need to find the GCF of the numbers 24 and 40.

Step 1: Find the GCF of 24 and 40.
The prime factorization of 24 is 2^3 x 3, and the prime factorization of 40 is 2^3 x 5. The common factors are 2^3 and the GCF is 2^3 = 8.

Step 2: Express 24 and 40 in terms of their GCF.
24 = 8 x 3
40 = 8 x 5

Step 3: Rewrite the sum using the GCF and distribute it.
24 + 40 = (8 x 3) + (8 x 5)

Using the distributive property, we can distribute the GCF to each term inside the parentheses:

24 + 40 = 8 x 3 + 8 x 5

Step 4: Simplify the expression.
Calculating each term:

8 x 3 = 24
8 x 5 = 40

Substituting these values back into the expression:

24 + 40 = 24 + 40

So, using the GCF and the distributive property, we can write 24 + 40 as the product (8 x 3) + (8 x 5), which simplifies to 24 + 40.