https://file.aiquickdraw.com/mathbot/file/1730445784401ntn9tx1i.jpg

Let's solve these expressions by following the **Order of Operations** (PEMDAS/BODMAS):

### Expression 1: \( 6 + 2 \times 3 \)
1. **Multiplication** comes before **Addition**, so calculate \( 2 \times 3 \) first:
   \[
   2 \times 3 = 6
   \]
2. Substitute back:
   \[
   6 + 6 = 12
   \]
   
**Answer:** \( 12 \)

---

### Expression 2: \( (4 + 5) \times 2 - 3^2 \)
1. Solve **Parentheses** first:
   \[
   4 + 5 = 9
   \]
   So, the expression becomes:
   \[
   9 \times 2 - 3^2
   \]
2. Next, handle **Exponents**:
   \[
   3^2 = 9
   \]
   Now the expression is:
   \[
   9 \times 2 - 9
   \]
3. Perform **Multiplication**:
   \[
   9 \times 2 = 18
   \]
   The expression becomes:
   \[
   18 - 9
   \]
4. Finally, perform **Subtraction**:
   \[
   18 - 9 = 9
   \]

**Answer:** \( 9 \)

---

Let me know if you want a more detailed breakdown or have any questions!

### Related Questions:
1. How would the answer change in the first expression if the order of operations was ignored?
2. What would happen if we added another operation, like division, in these expressions?
3. Can you create a similar expression using three different operations?
4. How does the placement of parentheses affect the result?
5. What if we used a different exponent in the second expression?

### Tip:
Remember, **PEMDAS** (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) helps determine the order of operations.

Calculate the expressions 6 + 2 × 3 and (4 + 5) × 2 − 3².

Learn how to calculate expressions using the order of operations (PEMDAS) with examples 6 + 2 × 3 and (4 + 5) × 2 − 3². This lesson covers basic arithmetic, multiplication, exponents, and subtraction, suitable for students in Grades 5-7.

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