The given expression is:

\[
36 \div 6 \times (8 - 6)
\]

### Step-by-step solution:
1. **Simplify the parentheses**:  
   \[
   8 - 6 = 2
   \]
   Now, the expression becomes:
   \[
   36 \div 6 \times 2
   \]

2. **Perform the division**:  
   \[
   36 \div 6 = 6
   \]
   Now, the expression is:
   \[
   6 \times 2
   \]

3. **Perform the multiplication**:  
   \[
   6 \times 2 = 12
   \]

### Final answer:
\[
12
\]

Would you like a more detailed explanation or have any further questions?

Here are 5 related questions to deepen your understanding:
1. What would be the result if the expression was \( 36 \div (6 \times (8 - 6)) \)?
2. How does the order of operations affect the solution of this problem?
3. What if you change division to addition in the original problem: \( 36 + 6 \times (8 - 6) \)?
4. How would this problem change if the parentheses were around the entire division and multiplication part?
5. What are other situations where parentheses change the order of operations?

**Tip:** Always solve expressions inside parentheses first according to the order of operations (PEMDAS).

Solve the math expression 36 ÷ 6 × (8 - 6) using the order of operations (PEMDAS). This step-by-step solution explains how to simplify parentheses first, perform division, and then multiplication. Suitable for Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation