Mathematical Expression Calculator

Evaluate arithmetic and scientific expressions with powers, roots, logarithms, trigonometry, and constants.

Scientific Math Sandbox
Enter an expression using standard operators and parentheses.

Supported names: sqrt, sin, cos, tan, log, ln, abs, pi, and e. Angles use radians.

About the Math Expression Calculator

A mathematical expression combines numbers, operators, functions, constants, and parentheses to describe a calculation. This sandbox evaluates the expression according to standard precedence rules: parentheses are handled first, followed by unary signs, powers, multiplication and division, then addition and subtraction. For example, two plus three times four equals fourteen because multiplication occurs before addition. Parentheses can change that order when needed. The calculator supports the four basic arithmetic operators, exponentiation with the caret symbol, and a focused set of scientific functions. Square root is written as sqrt, common logarithm as log, natural logarithm as ln, and absolute value as abs. The trigonometric functions sin, cos, and tan interpret their arguments in radians. The constants pi and e can be used anywhere a number is expected. Scientific notation such as 1e6 is also accepted. Expressions are parsed locally as mathematics rather than executed as program code. That keeps the accepted language intentionally narrow and predictable. Function names must be followed by parentheses, multiplication must be written explicitly, and unsupported variables or implied multiplication are rejected. Write 2*pi rather than 2pi, and write sin(pi/2) rather than sin pi. Division by zero and operations outside the real finite range produce an error instead of a misleading value. This tool is useful for checking homework steps, engineering estimates, formula rearrangements, unitless scientific calculations, and quick comparisons. It does not provide symbolic algebra, equation solving, units, arbitrary precision, or complex-number results. Floating-point rounding can appear in calculations that do not have an exact binary representation. For formal analysis, regulated engineering work, or high-precision research, verify the expression, units, assumptions, and required numerical precision with domain-appropriate software. Check copied expressions carefully before relying on an answer. A misplaced parenthesis, omitted multiplication sign, or degree value entered where radians are expected can produce a mathematically valid but unintended result. Breaking a long formula into smaller checks often makes transcription mistakes easier to find and confirms that intermediate values have the expected sign and scale.

Expression Examples

ExpressionResultConcept
2+3*414Operator precedence
sqrt(16)+sin(pi/2)5Roots, trigonometry, and pi
log(1000)+2^311Common logarithm and power

How to Evaluate an Expression

  1. Type numbers and explicit arithmetic operators into the expression field.
  2. Use parentheses to group operations and function arguments.
  3. Use radians for trigonometric functions and the names pi or e for constants.
  4. Select Calculate Expression and review the numerical result.

Frequently Asked Questions

What order of operations does the calculator use?

It follows standard mathematical precedence with parentheses, signs, powers, multiplication or division, and addition or subtraction. Parentheses can be used to make the intended order explicit.

Are trigonometric angles in degrees or radians?

The sin, cos, and tan functions use radians. Convert degrees to radians by multiplying the degree value by pi and dividing by 180.

What is the difference between log and ln?

The log function is the base-ten common logarithm. The ln function is the natural logarithm with base e.

Can the calculator solve equations with variables?

No, this version evaluates numerical expressions rather than solving symbolic equations. Replace variables with their known numerical values before calculating.

Why might a decimal result show rounding?

The calculator uses standard floating-point arithmetic, which cannot represent every decimal exactly. Displayed results are limited to a practical number of significant digits.