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Math

Calculators for algebra, calculus, trigonometry, and everyday math — step by step.

34 tools

Scientific Calculator

Full function with history.

Percentage Calculator

Percent of, increase, decrease, change.

Quadratic Solver

ax² + bx + c = 0, step by step.

Matrix Calculator

Add, multiply, inverse, determinant.

Trigonometry

sin, cos, tan + inverse functions.

Fraction Calculator

+ − × ÷ with simplification.

Derivative Calculator

Step by step, with the rules used.

Integral Calculator

Definite & indefinite, with steps.

System of Equations

2×2 and 3×3 linear systems.

Polynomial Roots

All real and complex roots.

Limit Calculator

Estimate a limit from both sides.

Logarithm Calculator

log, ln, log₂, and any base.

Factorial Calculator

n! exactly, with expansion.

Combinations & Permutations

nCr and nPr, exact.

Fraction ↔ Decimal ↔ %

Convert between all three forms.

Slope Calculator

Slope, intercept, and line equation from two points.

GCD & LCM

Greatest common divisor, least common multiple, and prime factors.

Significant Figures

Count significant figures and round to a given number.

Ratio Calculator

Simplify ratios and solve proportions.

Sequences

Arithmetic and geometric nth term and sum.

Vector Calculator

Add, subtract, dot/cross product, magnitude.

Complex Numbers

Add, multiply, modulus, and conjugate.

Exponent Calculator

Powers and the laws of exponents.

Simplify Radicals

Reduce a square root to simplest radical form.

Modulo Calculator

Remainder of a division (a mod n).

Percent Error

Compare a measured value to the true value.

Prime Number Checker

Test if a number is prime and factor it.

Rounding Calculator

Round to decimals, places, or significant figures.
New

Long Division Calculator

Divide two numbers with the full long-division working shown.
New

Synthetic Division Calculator

Divide a polynomial by (x − c) with the synthetic-division steps.
New

Completing the Square

Rewrite a quadratic as a(x − h)² + k, step by step.
New

Partial Fractions Calculator

Decompose a rational function into partial fractions with steps.
New

Polynomial Long Division

Divide one polynomial by another with the long-division working.
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Prime Factorization Calculator

Break a number into its prime factors with the division steps.

About math tools

Each calculator gives an exact, reproducible answer and can show the steps behind it. Use them to check your work, not to replace understanding it.

When to use these tools

Common math tasks and the tool that handles each one.

Frequently asked questions

Common questions about math — the concepts behind the tools above.

What is the order of operations (PEMDAS)?
PEMDAS is the rule for the order you evaluate an expression: Parentheses, Exponents, Multiplication and Division (left to right), then Addition and Subtraction (left to right). Multiplication and division share the same rank, as do addition and subtraction, so you work those pairs from left to right rather than one always before the other.
What is the difference between an expression and an equation?
An expression is a combination of numbers, variables, and operations with no equals sign, such as 3x + 5, and it can only be simplified or evaluated. An equation sets two expressions equal, such as 3x + 5 = 11, and it can be solved to find the values of the variable that make it true.
What does a negative or fractional exponent mean?
A negative exponent means take the reciprocal: x⁻² = 1 ÷ x². A fractional exponent means a root: x^(1/2) = √x, and more generally x^(m/n) is the n-th root of x raised to the m-th power.
What does the derivative of a function represent?
The derivative gives the instantaneous rate of change of a function, which equals the slope of the line tangent to its graph at a point. For example, if position changes over time, its derivative is velocity.

Other subjects

Grades Writing Study Chemistry