Perform the operations in the correct order.

15 plus 5 times left parenthesis 3 plus 6 right parenthesis15+5×(3+6)




To solve the expression \(15 + 5 \times (3 + 6)\), we need to follow the order of operations, often remembered by the acronym **PEMDAS**:

1. **P**arentheses
2. **E**xponents
3. **M**ultiplication and **D**ivision (from left to right)
4. **A**ddition and **S**ubtraction (from left to right)

Let's apply this to the given expression:

### Step-by-Step Solution

1. **Evaluate inside the Parentheses:**
   \[
   3 + 6 = 9
   \]

   So, the expression becomes:
   \[
   15 + 5 \times 9
   \]

2. **Perform Multiplication:**
   \[
   5 \times 9 = 45
   \]

   Now the expression is:
   \[
   15 + 45
   \]

3. **Perform Addition:**
   \[
   15 + 45 = 60
   \]

### Answer

The result of the expression \(15 + 5 \times (3 + 6)\) is **60**.

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

### Related Questions

1. How do you remember the order of operations using PEMDAS?
2. How do parentheses affect the order in which you solve expressions?
3. What happens if you perform addition before multiplication in an expression?
4. How do you handle multiple operations of the same priority level (e.g., multiple multiplications)?
5. Can you provide an example where division comes before multiplication in an expression?

### Tip

Always remember to perform operations inside parentheses first and follow the order of operations to avoid mistakes!

Explore how to solve the expression 15 + 5 × (3 + 6) step-by-step. Learn about the order of operations (PEMDAS), with a focus on parentheses. Suitable for students in Grades 5-8.

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