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To evaluate the expression \( 10 + (9 + 3 \times 3 - 1) \), let's follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).

1. **Evaluate inside the parentheses**:
   \[
   9 + 3 \times 3 - 1
   \]

2. **Multiplication** within the parentheses:
   \[
   3 \times 3 = 9
   \]
   So the expression becomes:
   \[
   9 + 9 - 1
   \]

3. **Addition and Subtraction** within the parentheses from left to right:
   \[
   9 + 9 = 18
   \]
   \[
   18 - 1 = 17
   \]

4. Substitute back into the expression:
   \[
   10 + 17 = 27
   \]

**Final Answer**: \( 27 \)

Would you like further explanation on any steps or additional details?

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Here are five related questions to explore this topic further:

1. What is the order of operations in mathematics, and why is it important?
2. How would the expression change if parentheses were placed differently?
3. What are some common mistakes to avoid when following the order of operations?
4. Can you solve similar expressions with nested parentheses?
5. How does multiplication impact the overall outcome in an expression like this?

**Tip**: Always handle operations inside parentheses first to ensure correct results.

Evaluate the expression 10 + (9 + 3 × 3 - 1)

Learn how to evaluate the expression 10 + (9 + 3 × 3 - 1) by following the order of operations. This solution is suitable for Grades 5-6 and reinforces key arithmetic skills and PEMDAS rules.

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