or
Santiago tried to evaluate the expression 18÷6+3×4. Here is his work:

To evaluate the expression \( 18 \div 6 + 3 \times 4 \), we need to follow the order of operations, also known as PEMDAS:

- **P**arentheses
- **E**xponents
- **M**ultiplication and **D**ivision (from left to right)
- **A**ddition and **S**ubtraction (from left to right)

Here's the correct way to solve this expression step by step:

Given:
\[
18 \div 6 + 3 \times 4
\]

1. **Division first** (because it appears before multiplication when going left to right):
   \[
   18 \div 6 = 3
   \]

   Now the expression becomes:
   \[
   3 + 3 \times 4
   \]

2. **Multiplication next**:
   \[
   3 \times 4 = 12
   \]

   Now the expression is:
   \[
   3 + 12
   \]

3. **Addition last**:
   \[
   3 + 12 = 15
   \]

So, the correct answer is:
\[
15
\]

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

### Related Questions
1. What happens if the expression had parentheses, like \( (18 \div (6 + 3)) \times 4 \)?
2. How do we apply the order of operations to more complex expressions?
3. Why is it important to follow the order of operations in mathematical expressions?
4. How do parentheses affect the evaluation of expressions?
5. What are the common mistakes made when evaluating expressions like this one?

### Tip
Remember that multiplication and division have the same priority and should be handled from left to right, just like addition and subtraction.

Santiago tried to evaluate the expression 18÷6+3×4. Here is his work:

Learn how to evaluate the expression 18 ÷ 6 + 3 × 4 step-by-step, following the order of operations (PEMDAS). This problem demonstrates the correct sequence for division, multiplication, and addition, and is suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation