Evaluate an arithmetic expression with parentheses, exponents, multiplication, division, addition, and subtraction in the correct order. Formula and expression value remain visible in one place for independent verification.
Operation precedence removes ambiguity from a line containing several operations. Parentheses come first, followed by powers, multiplication or division, and finally addition or subtraction; equal-ranking operations proceed from left to right.
Reading expression value in Order of Operations requires the relationship defined above.
The exponent operator is evaluated from right to left, so 2^3^2 means 2^(3²). A minus sign directly before a value is treated as unary negation. If the Order of Operations assumptions do not fit, consider signed arithmetic.
Use Arithmetic expression as the first Order of Operations checkpoint. Confirm the fixed condition, then anticipate Expression value. Repeat Order of Operations without reading the prior answer. If the fixed condition differs, preserve both Order of Operations versions and both values of Expression value.
Spreadsheet formulas, programming expressions, and textbook arithmetic all rely on a declared precedence system. Writing explicit parentheses remains the clearest approach when a result will be reviewed by someone else.
Copy the expression and simplify one precedence level at a time. Replace every completed subexpression with its result while leaving the untouched structure visible. To extend Order of Operations, open fraction multiplication.
For 3 + 4 × (2 − 1)³, the parentheses give 1, the power remains 1, multiplication gives 4, and the last addition produces 7. This Order of Operations example can be compared with exponent rules.
Reverse Order of Operations through the result. Confirm that the reversed Order of Operations step reproduces Arithmetic expression.
If Arithmetic expression was rounded, mark the result as an approximate Order of Operations result. Keep the denominator or reference whole with Order of Operations.
Reverse the Order of Operations reasoning once: begin with the shown Expression value and ask whether Arithmetic expression could produce it under the fixed condition. When that Order of Operations relationship fails, the contradiction narrows the error to an entry, order choice, or convention.
No. They have equal precedence and are handled from left to right.
No. Enter 2*(3) so the operation is explicit.
This calculator evaluates numerical arithmetic, not algebraic variables.
Yes, provided every opening parenthesis has a matching closing one.
The expression is rejected because the result is not finite.