Order of Operations Calculator
How It Works
This order of operations calculator uses established formulas to provide accurate results.
The basic rule:
- PEMDAS: Parentheses → Exponents → Multiplication/Division → Addition/Subtraction
- ^ represents exponents (e.g., 2^3 = 8)
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is PEMDAS?
PEMDAS is a mnemonic to remember the order of operations: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Some people remember it as 'Please Excuse My Dear Aunt Sally.'
Do you always multiply before dividing?
No. Multiplication and division have equal priority and are performed left to right. The same is true for addition and subtraction. For example, in 8 ÷ 2 × 3, you divide first (going left to right) to get 4 × 3 = 12.
Why are parentheses done first?
Parentheses override the default order of operations. They let you group operations to specify which calculations happen first. This is essential for writing expressions that compute correctly.
What is the difference between PEMDAS and BODMAS?
They represent the same rules with different terminology. BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) is used in some countries. The math is identical.