Simplify: 36−2⋅6+7⋅4

Question

.(1 point)

Answer 1

To simplify the expression \( 36 - 2 \cdot 6 + 7 \cdot 4 \), we should follow the order of operations (PEMDAS/BODMAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. First, calculate the multiplication parts:

   • \( 2 \cdot 6 = 12 \)
   • \( 7 \cdot 4 = 28 \)

2. Now, substitute these values back into the expression: \[ 36 - 12 + 28 \]

3. Next, perform the subtraction and addition from left to right:

   • \( 36 - 12 = 24 \)
   • \( 24 + 28 = 52 \)

Thus, the simplified result is: \[ \boxed{52} \]