Order Of Operations (BODMAS) Calculator

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

About Order Of Operations (BODMAS) Calculator

BODMAS fixes the order: Brackets, then Orders (powers and roots), then Division and Multiplication left to right, then Addition and Subtraction left to right. Division and multiplication share a rank, as do addition and subtraction.

Formula

BODMAS order

Brackets → Orders → Division/Multiplication (left to right) → Addition/Subtraction (left to right)

Worked example

With the default values below, Order Of Operations (BODMAS) Calculator returns Result of 24.00000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Expression: 6 + 2 * (9 - 3) ^ 2 / 4
Compare the answer with: 24

Results

Result: 24.00000000
Same expression ignoring brackets: 21.75000000
Difference from your comparison value: 0.00000000
Matches your comparison: Yes, it matches

Step by step

1Values used
2BODMAS order
3Result= 24.00000000
4Same expression ignoring brackets= 21.75000000
5Difference from your comparison value= 0.00000000
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 6 + 2 × (9 − 3)² ÷ 4?

Brackets give 6, squaring gives 36, then 2 × 36 ÷ 4 = 18, so the answer is 24.

Is division really before multiplication?

No. They have equal precedence and are worked left to right; the D before M in BODMAS is just an artefact of the acronym.