Question
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 28 in the equation. Simone did not use the correct factors for 28 in the equation. 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 greatest common factor in the equation. Simone did not use the greatest common factor in the equation. Simone did not use the correct operations in the equation. Simone did not use the correct operations in the equation. Skip to navigation
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GPT-4o mini
The correct statement that best describes Simone's error is: **Simone did not use the greatest common factor in the equation.**
In the given expression \(28 + 60\), the greatest common factor (GCF) of both numbers is 4, but her work shows \(4(7 + 20)\) which is incorrect as it doesn't represent the original sum correctly. Instead, it should have accurately factored \(4\) out from both \(28\) and \(60\) as:
\[ 28 + 60 = 4(7 + 15) \]
Thus, her expression does not reflect the correct use of the GCF.
In the given expression \(28 + 60\), the greatest common factor (GCF) of both numbers is 4, but her work shows \(4(7 + 20)\) which is incorrect as it doesn't represent the original sum correctly. Instead, it should have accurately factored \(4\) out from both \(28\) and \(60\) as:
\[ 28 + 60 = 4(7 + 15) \]
Thus, her expression does not reflect the correct use of the GCF.
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