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Keisha tried to evaluate an expression step by step.

{:[,3-4-7,],[=,3-(4-7)," Step 1 "],[=,3-(-3)," Step 2 "],[=,6," Step 3 "]:}
Find Keisha's first mistake.
Choose 1 answer:
(A) Changing the groups changes the difference's value.
(B) 4 minus 7 equals 3 , not -3
(C) 3 minus -3 equals 0 , not 6.

Keisha tried to evaluate an expression step by step.\newline347=3(47) Step 1=3(3) Step 2=6 Step 3 \begin{array}{l} 3-4-7 \\ =3-(4-7) \quad \text { Step } 1 \\ =3-(-3) \quad \text { Step } 2 \\ =6 \quad \text { Step } 3 \\ \end{array} \newlineFind Keisha's first mistake.\newlineChoose 11 answer:\newline(A) Changing the groups changes the difference's value.\newline(B) 44 minus 77 equals 33 , not 3-3\newline(C) 33 minus 3-3 equals 00 , not 66.

Full solution

Q. Keisha tried to evaluate an expression step by step.\newline347=3(47) Step 1=3(3) Step 2=6 Step 3 \begin{array}{l} 3-4-7 \\ =3-(4-7) \quad \text { Step } 1 \\ =3-(-3) \quad \text { Step } 2 \\ =6 \quad \text { Step } 3 \\ \end{array} \newlineFind Keisha's first mistake.\newlineChoose 11 answer:\newline(A) Changing the groups changes the difference's value.\newline(B) 44 minus 77 equals 33 , not 3-3\newline(C) 33 minus 3-3 equals 00 , not 66.
  1. Regrouping terms: Keisha starts with the expression 3473 - 4 - 7 and rewrites it as 3(47)3 - (4 - 7).\newlineReasoning: She is applying the associative property of subtraction to regroup the terms.\newlineCalculation: No calculation is done in this step.\newlineMath error check:
  2. Evaluate inside parentheses: Keisha then evaluates the expression inside the parentheses, 474 - 7, and gets 3-3. \newlineReasoning: She is correctly subtracting 77 from 44. \newlineCalculation: 47=34 - 7 = -3 \newlineMath error check:
  3. Subtracting negative: Keisha then subtracts 3-3 from 33, writing 3(3)3 - (-3) which she evaluates as 66.\newlineReasoning: She is correctly identifying that subtracting a negative is the same as adding the positive equivalent.\newlineCalculation: 3(3)=3+3=63 - (-3) = 3 + 3 = 6\newlineMath error check:

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