Answer :
Let's carefully go through Ed's work and identify where he went wrong by following the correct order of operations.
The expression Ed started with is:
[tex]\[ 65 - \left[\left(2 + 3^2 \cdot 4 \right) - 5\right] + 2 \][/tex]
Let's evaluate this step by step:
1. Calculate [tex]\(3^2\)[/tex]:
[tex]\(3^2 = 9\)[/tex]
2. Evaluate the multiplication inside the brackets next:
Multiply [tex]\(9 \cdot 4\)[/tex]:
[tex]\(9 \cdot 4 = 36\)[/tex]
3. Add 2 to this product:
Inside the brackets, add 2:
[tex]\(2 + 36 = 38\)[/tex]
4. Subtract 5 from the result:
Complete the operations inside the brackets:
[tex]\(38 - 5 = 33\)[/tex]
5. Subtract from 65:
Now, evaluate [tex]\(65 - 33\)[/tex]:
[tex]\(65 - 33 = 32\)[/tex]
6. Add 2 to the result:
Finally, add 2:
[tex]\(32 + 2 = 34\)[/tex]
Upon checking each of these steps, the final correct answer is 34, not 28. So, Ed made a mistake in his calculations. The error occurred in Ed's Step 3 to Step 4. Ed incorrectly subtracted 5 from 44 when he should have subtracted 33 from 65. This mistake led to the final incorrect result of 28.
The expression Ed started with is:
[tex]\[ 65 - \left[\left(2 + 3^2 \cdot 4 \right) - 5\right] + 2 \][/tex]
Let's evaluate this step by step:
1. Calculate [tex]\(3^2\)[/tex]:
[tex]\(3^2 = 9\)[/tex]
2. Evaluate the multiplication inside the brackets next:
Multiply [tex]\(9 \cdot 4\)[/tex]:
[tex]\(9 \cdot 4 = 36\)[/tex]
3. Add 2 to this product:
Inside the brackets, add 2:
[tex]\(2 + 36 = 38\)[/tex]
4. Subtract 5 from the result:
Complete the operations inside the brackets:
[tex]\(38 - 5 = 33\)[/tex]
5. Subtract from 65:
Now, evaluate [tex]\(65 - 33\)[/tex]:
[tex]\(65 - 33 = 32\)[/tex]
6. Add 2 to the result:
Finally, add 2:
[tex]\(32 + 2 = 34\)[/tex]
Upon checking each of these steps, the final correct answer is 34, not 28. So, Ed made a mistake in his calculations. The error occurred in Ed's Step 3 to Step 4. Ed incorrectly subtracted 5 from 44 when he should have subtracted 33 from 65. This mistake led to the final incorrect result of 28.
