To solve the expression \( 6 + \frac{10}{2} - 3^2 \), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Exponents**: 
   \[
   3^2 = 9
   \]
   So the expression becomes:
   \[
   6 + \frac{10}{2} - 9
   \]

2. **Division**: 
   \[
   \frac{10}{2} = 5
   \]
   Now the expression is:
   \[
   6 + 5 - 9
   \]

3. **Addition and Subtraction** (from left to right):
   \[
   6 + 5 = 11
   \]
   \[
   11 - 9 = 2
   \]

So, the final answer is \( \boxed{2} \).

Would you like more details on this solution or have any questions?

Here are five related questions you might find interesting:

1. How would the result change if the exponent was on the entire expression instead of just the 3?
2. What happens if the division operation is replaced with multiplication?
3. How would you solve the expression if parentheses were added around \( 10 ÷ 2 - 3^2 \)?
4. Can you solve the expression if you reverse the order of operations?
5. What would the result be if you changed the subtraction to an addition?

**Tip:** Always perform calculations in the correct order of operations to ensure you get the right result!

Learn how to solve the expression 6 + 10 ÷ 2 − 3^2 step-by-step using the order of operations (PEMDAS). This problem covers concepts such as exponents, division, addition, and subtraction. Suitable for students in Grades 6-8.

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