Evaluate arithmetic expressions with a math calculator that supports PEMDAS/BODMAS, parentheses, powers, functions, constants, implicit multiplication.
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Expression calculator
Evaluate a full math expression
Enter arithmetic, exponents, parentheses, constants, and common functions in one line. The calculator follows
PEMDAS/BODMAS order of operations and shows the intermediate steps it used, so you can catch missing brackets,
left-to-right mistakes, or rounding assumptions before copying the answer.
Use parentheses when the written expression could be ambiguous The calculator accepts implicit multiplication such as 2(3 + 4), but expressions like 1/2pi can be read differently by different systems. Add parentheses around the intended numerator,
denominator, or factor group when precision matters.
Math calculator for arithmetic expressions, PEMDAS, functions, and constants
This math calculator evaluates full arithmetic expressions involving addition, subtraction, multiplication, division, exponents, parentheses, brackets, common functions, constants, and implicit multiplication. Type an expression such as 2 + 3 * (4 - 1)^2, choose a precision setting if needed, and use the displayed steps to check how the order of operations was applied.
Start with the expression you want to check
A general math calculator is most useful when the whole expression is visible. Instead of pressing one operation at a time, enter the calculation as you would write it: numbers, operators, grouping symbols, powers, and functions in one line. The calculator then evaluates the expression using the standard order of operations.
The page is designed for quick arithmetic checks, homework verification, formula evaluation, and calculator-entry troubleshooting. It is not a symbolic algebra solver, so it will not rearrange variables or prove identities. It evaluates the numeric expression you provide and explains the numeric steps it used.
Use +, -, *, /, x-style multiplication symbols, division symbols, and ^ for powers.
Use parentheses, brackets, or braces to force part of the expression to happen first.
Use pi or the pi symbol for pi, and e for Euler's number.
Use sqrt(), abs(), sin(), cos(), tan(), log(), ln(), ceil(), floor(), and round() for common functions.
Use the decimal-place selector when the unrounded value is too long for the answer you need to report.
Order of operations and PEMDAS/BODMAS
The calculator follows the conventional order of operations: grouping symbols first, then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. The same idea is often remembered as PEMDAS, BODMAS, BIDMAS, or BEDMAS depending on region.
Multiplication and division have the same priority, so they are resolved from left to right. Addition and subtraction also have the same priority. This is one of the most common mistakes in hand calculations: PEMDAS does not mean all multiplication happens before all division, or all addition before all subtraction.
Nested parentheses are evaluated from the inside out. For example, in 2 + 3 * (4 - 1)^2, the grouped subtraction happens first, the exponent happens next, then multiplication, then addition.
2 + 3 * (4 - 1)^2 = 2 + 3 * 3^2 = 2 + 3 * 9 = 29
A worked order-of-operations example using parentheses, powers, multiplication, and addition.
8 / 4 * 2 = 4
Division and multiplication are handled left to right, not by doing every multiplication first.
Calculator notation accepted on this page
The evaluator accepts common calculator notation and normalizes it before calculating. Multiplication signs such as x-style dots or times symbols are treated as multiplication, division symbols are treated as division, square brackets and braces are treated as parentheses, and the pi symbol is treated as pi.
Implicit multiplication is supported for common forms such as 2(3 + 4), 2pi, 2sqrt(9), and (2 + 3)(4 + 5). The normalized input callout appears when the expression is rewritten internally, which makes it easier to see whether the calculator understood the expression the same way you intended.
2(3 + 4) = 2 * (3 + 4) = 14
Implicit multiplication is inserted between the number and the grouped expression.
2pi + 8/4 = 2 * pi + 2
Constants can be used in the same expression as ordinary arithmetic.
Functions, constants, and decimal precision
Function inputs use parentheses. For example, sqrt(144) returns 12, log(100) returns 2 because it is a base-10 logarithm, and ln(e) returns 1 because ln is the natural logarithm. Trigonometric functions use radians, which is standard for most programming and scientific calculator expression evaluators unless a degree mode is explicitly provided.
The result uses JavaScript number arithmetic, so extremely long decimals may include ordinary floating-point rounding behaviour. Use the precision selector to present a readable answer, but keep the expression and intermediate steps visible when an assignment, lab, engineering method, or financial calculation requires a specific rounding rule.
When to add extra parentheses
Some written expressions are ambiguous because different calculators and textbooks may interpret compact notation differently. A common example is a division followed by implicit multiplication, such as 1/2pi. Some users mean (1 / 2) * pi, while others mean 1 / (2pi).
The safest approach is to write the intended grouping directly. Use (1 / 2) * pi when pi is a factor after the division. Use 1 / (2pi) when the whole 2pi term belongs in the denominator. This calculator helps by showing normalized input and steps, but it cannot infer intent when the original notation is ambiguous.
How this page differs from specialist calculators
Use this page for general arithmetic expressions and order-of-operations checks. Use the fraction calculator when you need exact fraction forms, mixed numbers, least common denominators, or fraction-specific steps. Use the percentage calculator when the denominator and percentage interpretation matter. Use scientific-notation, exponent, logarithm, or equation calculators when the topic needs a more specialised workflow.
Keeping this page focused prevents keyword overlap with specialist pages. The math calculator owns broad expression-calculator intent, while domain calculators keep their own assumptions, labels, examples, and interpretation.
Frequently asked questions
Does this math calculator follow order of operations?
Yes. It follows PEMDAS/BODMAS: grouping symbols first, then exponents, then multiplication and division from left to right, then addition and subtraction from left to right.
Can I use nested parentheses, brackets, or braces?
Yes. Parentheses, square brackets, and braces are accepted as grouping symbols. Nested groups are evaluated from the inside out.
Can this calculator show steps?
Yes. When the expression has intermediate operations, the result area lists the evaluation steps so you can see how powers, multiplication, division, addition, subtraction, constants, and functions were resolved.
Does the calculator support implicit multiplication?
Yes. Common forms such as 2(3 + 4), 2pi, 2sqrt(9), and (2 + 3)(4 + 5) are treated as multiplication. For ambiguous denominator expressions, add parentheses to make the intended grouping clear.
What functions can I use?
The calculator supports sqrt, abs, sin, cos, tan, log, ln, ceil, floor, and round. Function arguments go inside parentheses, such as sqrt(16) or log(100).
Are trigonometric functions in degrees or radians?
The trigonometric functions use radians. Convert degrees to radians first if your source angle is in degrees, or use a calculator with an explicit degree-mode workflow.
Why do two calculators sometimes disagree on compact expressions?
Compact notation can be ambiguous, especially around division followed by implicit multiplication. Write extra parentheses around the intended numerator, denominator, or factor group to make the expression unambiguous.
Is this a symbolic algebra calculator?
No. This page evaluates numeric arithmetic expressions. It does not solve equations for variables, simplify symbolic algebra, factor polynomials, or graph functions.
How can I check the math calculator result manually?
Follow the same order of operations one step at a time, compare each step with the calculator's displayed working, and confirm that any rounding matches the precision required by your homework, lab, finance, or engineering context.
