Simone applied the distributive property using the greatest common factor to determine the expression that is equivalent to 28+60

. Her work is shown below.

Factors of 24: 1, 2, 4, 7, 14, 28

Factors of 56: 1, 2, 3, 4, 5, 6, 10, 15, 20, 30, 60

28+60=4(7+20)


What statement best describes Simone's error?

(1 point)
Responses

Simone did not use the correct factors for 60 in the equation.
Simone did not use the correct factors for 60 in the equation.

Simone did not use the correct factors for 28 in the equation.
Simone did not use the correct factors for 28 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.

1 answer

The best statement that describes Simone's error is:

Simone did not use the correct factors for 60 in the equation.

Simone factored out 4 correctly from 28 (which is \(4 \times 7\)), but the expression she formed for 60 is incorrect because \(60 = 4 \times 15\), not \(4 \times 20\). Therefore, the addition should be \(7 + 15\) for \(28 + 60\) after factoring out the 4 correctly.