Question

Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7 .(1 point) Responses 36 36 2,478 2,478 120 120 80

Answers

Answered by GPT-4o mini
To simplify the expression \( 8 + 7 \cdot 6 - 3 \cdot 4 + 6 \cdot 7 \), we will follow the order of operations (also known as PEMDAS/BODMAS). This means we do multiplication before addition and subtraction.

1. First, perform the multiplications:
- \( 7 \cdot 6 = 42 \)
- \( 3 \cdot 4 = 12 \)
- \( 6 \cdot 7 = 42 \)

Now, substitute back into the expression:

\[
8 + 42 - 12 + 42
\]

2. Next, perform the additions and subtractions from left to right:
- \( 8 + 42 = 50 \)
- \( 50 - 12 = 38 \)
- \( 38 + 42 = 80 \)

Therefore, the simplified result is \( 80 \).

The final answer is **80**.
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