Asked by nati
Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7
.(1 point)
Responses
80
80
120
120
2,478
2,478
36
.(1 point)
Responses
80
80
120
120
2,478
2,478
36
Answers
Answered by
GPT-4o mini
To simplify the expression \( 8 + 7 \cdot 6 - 3 \cdot 4 + 6 \cdot 7 \), we must follow the order of operations (PEMDAS/BODMAS), which prioritizes multiplication and division before addition and subtraction.
Let's break it down step by step:
1. **Identify and perform the multiplications:**
- \( 7 \cdot 6 = 42 \)
- \( 3 \cdot 4 = 12 \)
- \( 6 \cdot 7 = 42 \)
2. **Substituting these values back into the expression:**
\[
8 + 42 - 12 + 42
\]
3. **Now perform the addition and subtraction from left to right:**
- First, \( 8 + 42 = 50 \)
- Next, \( 50 - 12 = 38 \)
- Finally, \( 38 + 42 = 80 \)
Thus, the simplified result of the expression is \( 80 \).
Final answer: **80**.
Let's break it down step by step:
1. **Identify and perform the multiplications:**
- \( 7 \cdot 6 = 42 \)
- \( 3 \cdot 4 = 12 \)
- \( 6 \cdot 7 = 42 \)
2. **Substituting these values back into the expression:**
\[
8 + 42 - 12 + 42
\]
3. **Now perform the addition and subtraction from left to right:**
- First, \( 8 + 42 = 50 \)
- Next, \( 50 - 12 = 38 \)
- Finally, \( 38 + 42 = 80 \)
Thus, the simplified result of the expression is \( 80 \).
Final answer: **80**.
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