Order of Operations Calculator

Calculate expressions following the correct order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction)

Input Expression

Calculation Results

Calculation Result

0

Where:
PEMDAS/BODMAS Order:
Parentheses/Brackets → Exponents/Orders → Multiplication and Division → Addition and Subtraction

Order of Operations Calculator Usage Guide

Learn how to use the Order of Operations Calculator and understand the mathematical principles behind it

How to Use This Calculator

  1. Enter your mathematical expression in the input field. Use standard mathematical notation:
    • Use parentheses/brackets ( ) [ ] { } to control the order of operations
    • Use ^ for exponents (alternatively, you can use ** in the calculator)
    • Use × for multiplication (alternatively, use *)
    • Use ÷ for division (alternatively, use /)
    • Enter addition and subtraction as usual
  2. Click the "Calculate" button to evaluate your expression
  3. The calculator will display the result following the standard order of operations (PEMDAS/BODMAS)
  4. If you make a mistake, click "Reset" to clear the form and start over

Understanding the Order of Operations (PEMDAS/BODMAS)

The Order of Operations is a set of rules that determines the sequence in which operations should be performed in a mathematical expression to ensure a consistent result:

  • P/Barentheses/Brackets: Solve expressions inside parentheses or brackets first
  • E/OExponents/Orders: Calculate exponents or powers next
  • M/DMultiplication and Division: Perform multiplication and division from left to right
  • A/SAddition and Subtraction: Finally, perform addition and subtraction from left to right

Examples

Here are some example expressions you can try:

  • "(3+5)×2^2-8÷4" should yield 18
  • "(10-2)×3+4^2" should yield 38
  • "15÷3×2+1-5" should yield 3
  • "2^3+6×(1+2)" should yield 20

Limitations

This calculator supports basic mathematical operations and parentheses. It does not support:

  • Advanced functions (trigonometry, logarithms, etc.)
  • Complex numbers
  • Variable assignments