To solve the expression:

\[
18 - 4 \times 4 + 15 \div 3 + 2
\]

We will follow the order of operations, which is **PEMDAS**:
- **P**arentheses
- **E**xponents
- **M**ultiplication and **D**ivision (from left to right)
- **A**ddition and **S**ubtraction (from left to right)

### Step 1: Handle the multiplication and division first.
\[
18 - 16 + 15 \div 3 + 2
\]
\[
18 - 16 + 5 + 2
\]

### Step 2: Perform addition and subtraction from left to right.
\[
2 + 5 + 2 = 9
\]

So, the result of the expression is:

\[
\boxed{9}
\]

Would you like more details on the steps or clarification?

Here are five related questions:
1. What if we change the division sign to multiplication?
2. How does the order of operations affect the result if we use parentheses?
3. What happens if we perform the operations in reverse order?
4. Can you create a similar expression with exponents included?
5. How do we handle expressions with negative numbers?

**Tip:** Always perform multiplication and division before addition and subtraction, as per the order of operations.

Learn how to solve the arithmetic expression 18 - 4 x 4 + 15 ÷ 3 + 2 using the order of operations (PEMDAS). This step-by-step guide is suitable for students in Grades 5-7, covering key arithmetic concepts and ensuring a solid understanding of how to handle multiplication, division, addition, and subtraction.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation