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Order of Operations Calculator

Instantly solve complex mathematical expressions and see the exact step-by-step breakdown according to strict PEMDAS / BODMAS rules.

Enter Expression

Supports basic operators: +, -, *, /, ^ (exponent), and ( ) parentheses.

Solution

Enter a mathematical expression to see the final answer and step-by-step evaluation.

Understanding the Order of Operations

In mathematics, the order of operations is a collection of standard rules that dictate which procedures to perform first in order to evaluate a given mathematical expression. Without a standard order, different people would calculate different answers for the exact same equation. Our calculator adheres strictly to universal mathematical standards, breaking down complex inputs step-by-step so you can easily follow the logic.

PEMDAS vs. BODMAS: What's the Difference?

Depending on where you learned math, you likely were taught an acronym to help remember the correct order. The two most common acronyms are PEMDAS (used primarily in the United States) and BODMAS (used in the UK, India, Australia, and other regions). They mean the exact same thing mathematically.

PEMDAS

  • Parentheses ( )
  • Exponents x²
  • Multiplication × (Left to Right)
  • Division ÷ (Left to Right)
  • Addition + (Left to Right)
  • Subtraction - (Left to Right)

BODMAS

  • Brackets ( )
  • Orders x²
  • Division ÷ (Left to Right)
  • Multiplication × (Left to Right)
  • Addition + (Left to Right)
  • Subtraction - (Left to Right)

Important Note: Multiplication and Division have the same rank. You perform whichever comes first when reading the expression from left to right. The same rule applies to Addition and Subtraction.