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?

Explanation:

Given 3 values A, B and C. A is distributed over B and C according to the expression

A(B+C) = AB+AC (Distributive law)

Given the expression 24 + 56, we can apply distributive property by looking for the greatest common factor of 24 and 56 and then factor it out .

The GCF of 24 and 56 is 8

24+56 = 8(3+7)

The mistake Simone does is that he wrongly divide 8 by 24 . 8 goes in 24 3 times not 4 times. Hence the values in parenthesis is supposed to be (3+7) instead of (4+7)

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