Final answer:
The error in the student's work was in the sequence of their operations according to the order of operations. The corrected process yields an answer of 23 to the expression 7 + 3 · 8 - 4 ^ 2 / 2.
Step-by-step explanation:
The error in the student's work lies in the way they applied the order of operations to the expression 7 + 3 · 8 - 4 ^ 2 / 2. The correct order is to first address the exponent, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. The student's mistake was in the sequence of their operations. Here's the correct step-by-step process:
- Calculate the exponent: 4 ^ 2 = 16.
- Divide by 2: 16 / 2 = 8.
- Multiply 3 by 8: 3 · 8 = 24.
- Add 7 to the product: 7 + 24 = 31.
- Subtract 8 from the sum: 31 - 8 = 23.
Hence, the correct answer to the expression is 23.
Complete Question:
Find and correct the error in the work shown below.
7 + 3 · 8 - 4 ^ 2 / 2
10 · 8 - 16 / 2
80 - 8
72
A. The student multiplied 3 by 8 before adding 7. The correct answer should be 23.
B. The student subtracted 8 and 4^2 before dividing by 2. The correct answer should be 27.
C. The student added 8 and -4^2 before dividing by 2. The correct answer should be 27.
D. The student added 7 and 3 before multiplying by 8. The correct answer should be 23.