Question
Rewrite an equivalent expression for the sum of 18 + 108
using the distributive property with the greater common factor
(GCF).
using the distributive property with the greater common factor
(GCF).
Answers
GPT-4o mini
To rewrite the sum \( 18 + 108 \) using the distributive property with the greatest common factor (GCF), we first need to determine the GCF of the two numbers.
The GCF of 18 and 108 is 18, since 18 is the largest number that divides both 18 and 108.
Now, we can factor out the GCF from the sum:
\[
18 + 108 = 18 + 6 \times 18 = 18(1 + 6)
\]
Thus, using the distributive property, the equivalent expression is:
\[
18(1 + 6) = 18 \times 7
\]
So, the equivalent expression for the sum \( 18 + 108 \) is \( 18(1 + 6) \).
The GCF of 18 and 108 is 18, since 18 is the largest number that divides both 18 and 108.
Now, we can factor out the GCF from the sum:
\[
18 + 108 = 18 + 6 \times 18 = 18(1 + 6)
\]
Thus, using the distributive property, the equivalent expression is:
\[
18(1 + 6) = 18 \times 7
\]
So, the equivalent expression for the sum \( 18 + 108 \) is \( 18(1 + 6) \).