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

Question

.(1 point)
Responses

36
36

80
80

120
120

2,478

Answer 1

To simplify the expression \(8 + 7 \cdot 6 - 3 \cdot 4 + 6 \cdot 7\), we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This is often remembered with the acronym PEMDAS.

1. Identify Multiplications:

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

2. Rewrite the expression with the multiplications done: \[ 8 + 42 - 12 + 42 \]

3. Perform Addition and Subtraction from left to right:

   • First, calculate \(8 + 42\): \[ 8 + 42 = 50 \]
   • Then, subtract \(12\) from \(50\): \[ 50 - 12 = 38 \]
   • Finally, add \(42\) to \(38\): \[ 38 + 42 = 80 \]

Thus, the simplified result of the expression \(8 + 7 \cdot 6 - 3 \cdot 4 + 6 \cdot 7 = 80\).

The correct response is: 80