Simone applied the distributive property using the greatest common factor to determine the expression that is equivalent to 24+56

. Her work is shown below.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

24+56=8(4+7)


What statement best describes Simone's error?

(1 point)
Responses

Simone did not use the correct factors for 24 in the equation.
Simone did not use the correct factors for 24 in the equation.

Simone did not use the correct factors for 56 in the equation.
Simone did not use the correct factors for 56 in the equation.

Simone did not use the correct operations in the equation.
Simone did not use the correct operations in the equation.

Simone did not use the greatest common factor in the equation.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

The best statement that describes Simone's error is:

Simone did not use the greatest common factor in the equation.

The greatest common factor (GCF) of 24 and 56 is 8, which she correctly identified, but her breakdown into the expression \( 8(4+7) \) is incorrect because 4 and 7 do not relate to the original numbers in a way that makes the equation equivalent. The correct equivalence should reflect the sum \( 24 + 56 \) through the GCF properly.