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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=45 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 .

Full solution

Q. Fred tried to evaluate an expression step by step.\newline(10+6)5=45 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 45-4 - 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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