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

Question

.(1 point)
Responses

120
120

36
36

2,478
2,478

80

Answer 1

To simplify the expression \(8 + 7 \cdot 6 - 3 \cdot 4 + 6 \cdot 7\), we need to use the order of operations (PEMDAS/BODMAS).

1. Multiply and divide first:

   • \(7 \cdot 6 = 42\)
   • \(3 \cdot 4 = 12\)
   • \(6 \cdot 7 = 42\)

   Now substitute these values back into the expression:

   \[ 8 + 42 - 12 + 42 \]

2. Now, proceed with addition and subtraction from left to right:

   • First, calculate \(8 + 42 = 50\)
   • Next, calculate \(50 - 12 = 38\)
   • Finally, calculate \(38 + 42 = 80\)

Therefore, the simplified result is \(80\).

The correct response is 80.