Question
Given the sum 100=64+36 , rewrite 64+36 using their GCF and multiplication. Responses 1(64+36) 1 times open paren 64 plus 36 close paren - no response given 4(16×9) 4 times open paren 16 times 9 close paren - no response given 4(16+9) 4 times open paren 16 plus 9 close paren - no response given 2(32+18)
Answers
GPT-4o mini
To express the sum \( 64 + 36 \) using the Greatest Common Factor (GCF) and multiplication, we first need to find the GCF of 64 and 36.
The factors of 64 are: \( 1, 2, 4, 8, 16, 32, 64 \)
The factors of 36 are: \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \)
The greatest common factor of 64 and 36 is \( 4 \).
Now, we can factor out the GCF:
\[
64 + 36 = 4(16 + 9)
\]
Thus, \( 64 + 36 \) can be rewritten using their GCF and multiplication as:
\[
4(16 + 9)
\]
This corresponds to the third response option you provided: **4(16+9)**.
The factors of 64 are: \( 1, 2, 4, 8, 16, 32, 64 \)
The factors of 36 are: \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \)
The greatest common factor of 64 and 36 is \( 4 \).
Now, we can factor out the GCF:
\[
64 + 36 = 4(16 + 9)
\]
Thus, \( 64 + 36 \) can be rewritten using their GCF and multiplication as:
\[
4(16 + 9)
\]
This corresponds to the third response option you provided: **4(16+9)**.