Order Of Operations (PEMDAS) Calculator

Work out order of operations (pemdas) instantly with clear inputs, formula shown and shareable results.

About Order Of Operations (PEMDAS) Calculator

PEMDAS is the American form of the same rule: Parentheses, Exponents, Multiplication and Division left to right, then Addition and Subtraction left to right. It gives identical answers to BODMAS.

Formula

PEMDAS order

Parentheses → Exponents → Multiplication/Division (left to right) → Addition/Subtraction (left to right)

Worked example

With the default values below, Order Of Operations (PEMDAS) Calculator returns Result of 16.00000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Expression: 8 / 2 * (2 + 2)
Compare the answer with: 16

Results

Result: 16.00000000
Difference from your comparison value: 0.00000000
Twice the result: 32.00000000
Matches your comparison: Yes, it matches

Step by step

1Values used
2PEMDAS order
3Result= 16.00000000
4Difference from your comparison value= 0.00000000
5Twice the result= 32.00000000
6Matches your comparison= Yes, it matches

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is 8 ÷ 2 × (2 + 2)?

16. The bracket gives 4, then 8 ÷ 2 = 4 and 4 × 4 = 16, because division and multiplication are worked strictly left to right.

Does PEMDAS differ from BODMAS?

Only in naming. Orders and Exponents mean the same thing, and both treat multiplication and division as equal in rank.