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Fred tried to evaluate an expression step by step. {:[,(-10+6)-5,],[=,-4-5," Step 1 "],[=,-4+(-5)," Step 2 "],[=,9," Step 3 "]:} Find Fred's first mistake. Choose 1 answer: (A) -10 plus 6 equals -16 , not -4 . (B) Fred was supposed to add 5 , not -5 . (C) -4 plus -5 equals -9 , not 9 .

Fred tried to evaluate an expression step by step.\newline(−10+6)−5=−4−5 Step 1=−4+(−5) Step 2=9 Step 3 \begin{array}{l} (-10+6)-5 \\ =-4-5 \quad \text { Step } 1 \\ =-4+(-5) \quad \text { Step } 2 \\ =9 \quad \text { Step } 3 \\ \end{array} \newlineFind Fred's first mistake.\newlineChoose 11 answer:\newline(A) −10-10 plus 66 equals −16-16 , not −4-4 .\newline(B) Fred was supposed to add 55 , not −5-5 .\newline(C) −4-4 plus −5-5 equals −9-9 , not 99 .

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Full solution

Q. Fred tried to evaluate an expression step by step.\newline(−10+6)−5=−4−5 Step 1=−4+(−5) Step 2=9 Step 3 \begin{array}{l} (-10+6)-5 \\ =-4-5 \quad \text { Step } 1 \\ =-4+(-5) \quad \text { Step } 2 \\ =9 \quad \text { Step } 3 \\ \end{array} \newlineFind Fred's first mistake.\newlineChoose 11 answer:\newline(A) −10-10 plus 66 equals −16-16 , not −4-4 .\newline(B) Fred was supposed to add 55 , not −5-5 .\newline(C) −4-4 plus −5-5 equals −9-9 , not 99 .
  1. Start with expression: Fred starts with the expression (−10+6)−5(-10 + 6) - 5. He calculates (−10+6)(-10 + 6) as −4-4. Let's check this calculation: −10+6=−4-10 + 6 = -4. This is correct.
  2. Calculate first part: Fred then proceeds to the next step, which is −4−5-4 - 5.\newlineHe writes this as −4+(−5)-4 + (-5).\newlineThis is the correct way to interpret subtraction as adding a negative.
  3. Proceed to next step: Fred then calculates −4+(−5)-4 + (-5) as 99. Let's check this calculation: −4+(−5)=−9-4 + (-5) = -9, not 99. This is incorrect.

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