Question

Use PEMDAS to simplify: 72÷12+26−8⋅3 . (1 point) Responses 72 72 −10 negative 10 8 8 56

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 proceed as follows:

1. **Division and Multiplication:**
- First, perform the division:
\[
72 \div 12 = 6
\]
- Now the expression is:
\[
6 + 26 - 8 \cdot 3
\]
- Next, perform the multiplication:
\[
8 \cdot 3 = 24
\]
- Now the expression is:
\[
6 + 26 - 24
\]

2. **Addition and Subtraction:**
- Now, do the addition:
\[
6 + 26 = 32
\]
- Now the expression is:
\[
32 - 24
\]
- Finally, perform the subtraction:
\[
32 - 24 = 8
\]

So, the simplified result is \( 8 \).

From the provided response options, the answer is **8**.