Use PEMDAS to simplify: 72÷12+26−8⋅3

Question

.
(1 point)
Responses

56
56

8
8

−10
negative 10

72
72

Answer 1

To simplify the expression \( 72 \div 12 + 26 - 8 \cdot 3 \) using PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), we perform the operations in the following order:

1. Division: \[ 72 \div 12 = 6 \]

2. Multiplication: \[ 8 \cdot 3 = 24 \]

Now we can rewrite the expression with the results from the division and multiplication: \[ 6 + 26 - 24 \]

3. Addition: \[ 6 + 26 = 32 \]

4. Subtraction: \[ 32 - 24 = 8 \]

Thus, the simplified result of the expression is 8.

So the answer is: \[ \text{8} \]