Question
Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7
.(1 point)
Responses
120
120
2,478
2,478
80
80
36
36
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.(1 point)
Responses
120
120
2,478
2,478
80
80
36
36
Skip to navigation
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), we first handle multiplication before addition and subtraction.
1. Calculate the multiplication:
- \( 7 \cdot 6 = 42 \)
- \( 3 \cdot 4 = 12 \)
- \( 6 \cdot 7 = 42 \)
Now substitute these back into the expression:
\[
8 + 42 - 12 + 42
\]
2. Now perform addition and subtraction from left to right:
- \( 8 + 42 = 50 \)
- \( 50 - 12 = 38 \)
- \( 38 + 42 = 80 \)
So, the simplified result of the expression is:
\[
\boxed{80}
\]
1. Calculate the multiplication:
- \( 7 \cdot 6 = 42 \)
- \( 3 \cdot 4 = 12 \)
- \( 6 \cdot 7 = 42 \)
Now substitute these back into the expression:
\[
8 + 42 - 12 + 42
\]
2. Now perform addition and subtraction from left to right:
- \( 8 + 42 = 50 \)
- \( 50 - 12 = 38 \)
- \( 38 + 42 = 80 \)
So, the simplified result of the expression is:
\[
\boxed{80}
\]
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