THE NUMORIX GUIDE
How to use the Order of Operations Calculator
Last reviewed September 14, 2026
What this calculator does
Evaluate the expression with parentheses first, then exponentiation, multiplication/division, and addition/subtraction according to conventional precedence.
Formula and method
Evaluate the expression with parentheses first, then exponentiation, multiplication/division, and addition/subtraction according to conventional precedence. The engine evaluates a restricted arithmetic expression after validation.
Variables and inputs
The text expression defaults to 2 + 3 * 4. The UI says it supports +, -, *, /, ^, %, and parentheses.
Worked example
For 2 + 3 * 4: multiplication happens first, 3*4=12; then 2+12=14. Parentheses change it: (2+3)*4 = 20.
How to interpret the result
Precedence rules make an unparenthesized expression reproducible. Parentheses are the clearest way to show the grouping you intend.
Common mistakes to avoid
Do not evaluate strictly left to right, and do not assume the percent operator means the same thing in every calculator or programming language.
Assumptions and limitations
The validation regular expression does not include the caret even though the UI text says ^ is supported, so exponent expressions can be rejected before replacement. The evaluator is limited to the listed characters and has no named functions.
Practical use and checks
Use the Order of Operations Calculator to check how an arithmetic expression is grouped before you use its result in a budget, formula, or spreadsheet. Enter 2 + 3 * 4 as a check; multiplication comes first, so the output should be 14. Add parentheses around the addition, as in (2 + 3) * 4, and the result should become 20. This small comparison is more useful than memorizing an acronym because it shows exactly what the grouping changes. Parentheses are the clearest way to communicate intent, especially when an expression mixes division, negative numbers, powers, and a percent symbol. Do not evaluate strictly left to right, and do not assume that the percent operator has the same meaning in a financial calculator, spreadsheet, and programming language. The page accepts a restricted arithmetic expression and has no named functions or unit awareness. A caret is accepted for exponentiation and is evaluated with the usual power precedence, but explicit grouping is still the clearest way to communicate intent. A result is only as useful as the expression's units; adding dollars to hours can be arithmetically accepted but conceptually invalid.