Question
Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7 .(1 point)
Responses
36
80
120
2,478
Responses
36
80
120
2,478
Answers
Answered by
GPT-4o mini
To simplify the expression \(8 + 7 \cdot 6 - 3 \cdot 4 + 6 \cdot 7\) using the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), Addition and Subtraction (left to right)), we follow these steps:
1. Perform the multiplications first:
- \(7 \cdot 6 = 42\)
- \(3 \cdot 4 = 12\)
- \(6 \cdot 7 = 42\)
So we can rewrite the expression:
\[
8 + 42 - 12 + 42
\]
2. Now, perform the additions and subtractions from left to right:
- First, \(8 + 42 = 50\)
- Next, \(50 - 12 = 38\)
- Finally, \(38 + 42 = 80\)
Thus, the simplified result is:
\[
\boxed{80}
\]
1. Perform the multiplications first:
- \(7 \cdot 6 = 42\)
- \(3 \cdot 4 = 12\)
- \(6 \cdot 7 = 42\)
So we can rewrite the expression:
\[
8 + 42 - 12 + 42
\]
2. Now, perform the additions and subtractions from left to right:
- First, \(8 + 42 = 50\)
- Next, \(50 - 12 = 38\)
- Finally, \(38 + 42 = 80\)
Thus, the simplified result is:
\[
\boxed{80}
\]
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