To solve the expression \( 2 + \frac{12}{3} \times 4 \), we need to follow the order of operations, also known as **PEMDAS** (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Division first**: \( \frac{12}{3} = 4 \)

2. **Multiplication next**: \( 4 \times 4 = 16 \)

3. **Addition last**: \( 2 + 16 = 18 \)

Thus, the value of the expression is \( \boxed{18} \).

Do you want more details or have any questions?

Here are 5 related questions:

1. How would the expression change if parentheses were added?
2. What happens if you change division to subtraction in the expression?
3. How does the order of operations affect the result if you reverse it?
4. How would adding an exponent to one of the numbers alter the result?
5. Can you create a similar expression with all four operations?

**Tip**: Always remember to perform multiplication and division before addition and subtraction in expressions without parentheses.

Learn how to apply the order of operations (PEMDAS) to solve the arithmetic expression 2 + 12 / 3 × 4. This step-by-step solution breaks down the division, multiplication, and addition involved, making it ideal 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