PEMDAS Calculator

Table of contents

What is PEMDAS?

PEMDAS is an acronym that stands for the order of operations in mathematics:

• P: Parentheses
• E: Exponents
• M: Multiplication
• D: Division
• A: Addition
• S: Subtraction

This order ensures that mathematical expressions are evaluated correctly and consistently. It’s also known as BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) in some countries, or BIDMAS (Brackets, Indices, Division, Multiplication, Addition, Subtraction) in others.

How to Use the PEMDAS Calculator

1. Enter your mathematical expression in the input field.
2. Click the “Calculate” button.
3. Review the step-by-step solution provided.

Our calculator will show you each step of the process, making it easy to understand how the expression is evaluated according to PEMDAS rules.

Understanding the Order of Operations

Let’s break down each step of PEMDAS:

1. Parentheses: Solve everything inside parentheses first.
2. Exponents: Calculate all exponents (powers) next.
3. Multiplication and Division: Perform these operations from left to right.
4. Addition and Subtraction: Complete these operations from left to right.

Remember, multiplication and division have equal priority, as do addition and subtraction. When operations of equal priority appear, work from left to right.

Examples Using PEMDAS

Let’s look at some examples to see PEMDAS in action:

1. 2 + 3 × 4 = 14 (not 20)

   • First, multiply 3 × 4 = 12
   • Then, add 2 + 12 = 14

2. (4 + 2) × 3² = 54

   • First, solve inside parentheses: 4 + 2 = 6
   • Next, calculate the exponent: 3² = 9
   • Finally, multiply: 6 × 9 = 54

3. 20 ÷ 5 - 3 × 2 + 4² = 18

   • Start with the exponent: 4² = 16
   • Then divide and multiply from left to right: 20 ÷ 5 = 4, 3 × 2 = 6
   • Finally, perform addition and subtraction: 4 - 6 + 16 = 14

Common Mistakes to Avoid

1. Ignoring parentheses
2. Performing operations from left to right without considering PEMDAS
3. Confusing the order of multiplication/division or addition/subtraction

Practical Applications of PEMDAS

Understanding PEMDAS is crucial for:

• Solving algebraic equations
• Calculating discounts and taxes
• Programming and coding
• Scientific calculations
• Financial modeling

Mastering the order of operations is a fundamental skill in mathematics. Our PEMDAS calculator is designed to not only solve problems but also to teach you the process. By understanding PEMDAS, you’ll improve your mathematical reasoning and problem-solving abilities.

Ready to put your PEMDAS knowledge to the test? Try our calculator now and start solving complex expressions with confidence!

Frequently Asked Questions

See also

We’ve gathered calculators that will assist you with various tasks related to the current topic.