Question
Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7.(1 point)
Responses
2,478
2,478
36
36
80
80
120
Responses
2,478
2,478
36
36
80
80
120
Answers
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 (from left to right), Addition and Subtraction (from left to right)), we proceed as follows:
1. **Identify and perform multiplication first**:
- \( 7 \cdot 6 = 42 \)
- \( 3 \cdot 4 = 12 \)
- \( 6 \cdot 7 = 42 \)
Now the expression becomes:
\[ 8 + 42 - 12 + 42 \]
2. **Next, perform the addition and subtraction from left to right**:
- \( 8 + 42 = 50 \)
- \( 50 - 12 = 38 \)
- \( 38 + 42 = 80 \)
Thus, the simplified value of the expression is \( \boxed{80} \).
1. **Identify and perform multiplication first**:
- \( 7 \cdot 6 = 42 \)
- \( 3 \cdot 4 = 12 \)
- \( 6 \cdot 7 = 42 \)
Now the expression becomes:
\[ 8 + 42 - 12 + 42 \]
2. **Next, perform the addition and subtraction from left to right**:
- \( 8 + 42 = 50 \)
- \( 50 - 12 = 38 \)
- \( 38 + 42 = 80 \)
Thus, the simplified value of the expression is \( \boxed{80} \).