Order of Operations (PEMDAS)
Solve arithmetic expressions correctly using PEMDAS/BODMAS rules. Get instant step-by-step solutions — completely free, no signup required.
Free Order of Operations (PEMDAS) Calculator
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About Order of Operations (PEMDAS)
Solve arithmetic expressions correctly using PEMDAS/BODMAS rules. Pre-algebra builds the foundation for all higher math. Understanding order of operations, percentages, and basic number properties is essential before moving to algebra.
Our Order of Operations (PEMDAS) calculator handles every type of problem in this topic. Whether you are a student working through homework, preparing for an exam, or a professional needing a quick calculation, you can enter any order of operations (pemdas) expression and receive a complete, verified solution with every step shown.
Order of Operations (PEMDAS) Formula
PEMDAS / BODMAS: Brackets → Exponents → ×÷ (left to right) → +− (left to right)
The order of operations makes every expression have exactly one value. Evaluate brackets first, then exponents, then multiplication and division together from left to right, and finally addition and subtraction together from left to right.
Worked Example
Evaluate 8 + 2 × (5 − 3)² ÷ 4
- Brackets: 5 − 3 = 2
- Exponent: 2² = 4
- Multiply then divide left to right: 2 × 4 = 8, 8 ÷ 4 = 2
- Add: 8 + 2 = 10
Answer: 10
Common Mistakes to Avoid
- Always multiplying before dividing — they share the same rank and go left to right.
- Adding before multiplying, e.g. treating 8 + 2 × 3 as 30.
- Treating −3² as 9; the exponent applies first, so it is −9.
How to Use the Order of Operations (PEMDAS) Calculator
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Type your Order of Operations (PEMDAS) problem into the input field above
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Press Enter or click the Solve button to run the calculation
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Review the step-by-step solution that appears below the input
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Check the breakdown of each operation to understand the method
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Try a different problem to practice and build your understanding
Frequently Asked Questions
What is the Order of Operations (PEMDAS) formula?
PEMDAS / BODMAS: Brackets → Exponents → ×÷ (left to right) → +− (left to right). The order of operations makes every expression have exactly one value. Evaluate brackets first, then exponents, then multiplication and division together from left to right, and finally addition and subtraction together from left to right.
Can you show a worked Order of Operations (PEMDAS) example?
Evaluate 8 + 2 × (5 − 3)² ÷ 4: Brackets: 5 − 3 = 2; Exponent: 2² = 4; Multiply then divide left to right: 2 × 4 = 8, 8 ÷ 4 = 2; Add: 8 + 2 = 10. Answer: 10.
Is this Order of Operations (PEMDAS) calculator free to use?
Yes — the Order of Operations (PEMDAS) calculator on MathSimplify is completely free. There is no signup, no subscription, and no usage limit. Enter any problem and get the step-by-step solution instantly.
Can I use this for Order of Operations (PEMDAS) homework and exam practice?
Absolutely. The step-by-step breakdown is designed specifically for learning. You can use it to check your work, understand where you went wrong, or study the method before an exam. The calculator shows the full working, not just the final answer.