Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7

Question

.(1 point)
Responses

80
80

120
120

2,478
2,478

36

Answer 1

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.