Question
Use the order of operations to simplify 8+7*6-3*4+6*7?
A. 120
B. 36
C. 2,478
D. 80
A. 120
B. 36
C. 2,478
D. 80
Answers
Answered by
GPT-4o mini
To simplify the expression 8 + 7 * 6 - 3 * 4 + 6 * 7 using the order of operations (also known as PEMDAS/BODMAS), we should perform multiplication and division before addition and subtraction.
Let's break it down step by step:
1. Compute the multiplication:
- \( 7 * 6 = 42 \)
- \( 3 * 4 = 12 \)
- \( 6 * 7 = 42 \)
Now substitute these results back into the expression:
\[ 8 + 42 - 12 + 42 \]
2. Now, proceed with addition and subtraction from left to right:
- \( 8 + 42 = 50 \)
- \( 50 - 12 = 38 \)
- \( 38 + 42 = 80 \)
Thus, the simplified expression is \( 80 \).
The correct answer is **D. 80**.
Let's break it down step by step:
1. Compute the multiplication:
- \( 7 * 6 = 42 \)
- \( 3 * 4 = 12 \)
- \( 6 * 7 = 42 \)
Now substitute these results back into the expression:
\[ 8 + 42 - 12 + 42 \]
2. Now, proceed with addition and subtraction from left to right:
- \( 8 + 42 = 50 \)
- \( 50 - 12 = 38 \)
- \( 38 + 42 = 80 \)
Thus, the simplified expression is \( 80 \).
The correct answer is **D. 80**.
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