To determine where the mistake first appears, let's carefully examine each step and compare it to the correct mathematical procedures.
Given expression:
[tex]\[
\frac{1}{4} \times (7 \times 6 + 2) - 5
\][/tex]
### Step-by-Step Evaluation
1. Evaluate inside the parentheses:
[tex]\[
7 \times 6 + 2
\][/tex]
Calculate [tex]\(7 \times 6\)[/tex]:
[tex]\[
7 \times 6 = 42
\][/tex]
Add 2:
[tex]\[
42 + 2 = 44
\][/tex]
The expression inside the parentheses is 44, so now we have:
[tex]\[
\frac{1}{4} \times 44 - 5
\][/tex]
2. Multiply by [tex]\(\frac{1}{4}\)[/tex]:
[tex]\[
\frac{1}{4} \times 44
\][/tex]
Dividing 44 by 4:
[tex]\[
44 \div 4 = 11
\][/tex]
Now the expression simplifies to:
[tex]\[
11 - 5
\][/tex]
3. Subtract 5:
[tex]\[
11 - 5
\][/tex]
Subtract to get the final value:
[tex]\[
11 - 5 = 6
\][/tex]
Based on the correct steps outlined above, when we compare them to the steps provided in the options:
- Step 1:
The original step shows:
[tex]\[
\frac{1}{4} \times (7 \times 8) - 5
\][/tex]
Here, instead of correctly calculating [tex]\(7 \times 6 + 2\)[/tex], [tex]\(7 \times 6\)[/tex] was mistakenly changed to [tex]\(7 \times 8\)[/tex].
Thus, the correct answer is:
A Step 1
