Math Calculators

Solve any percentage question — what is X% of Y, X is what percent of Y, X is Y% of what, and percentage increases or decreases.

Calculate the percentage increase or decrease between two values, and the percentage difference when neither value is the reference point.

Compare a measured value against the true value to find percent error, absolute error and relative error.

Add, subtract, multiply or divide two fractions, simplify one, or convert a decimal to a fraction. Shows the mixed number and decimal equivalent throughout.

Find the mean, median, mode and range of any list of numbers, and see which average actually describes your data best.

Calculate a weighted mean from values and their weights, with each item's contribution shown and a comparison against the plain average.

Simplify a ratio, scale it up or down, or solve a proportion for the missing value — with the working shown at each step.

Solve ax² + bx + c = 0 using the quadratic formula, with the discriminant, vertex, axis of symmetry and complex roots when they occur.

Solve log_b(x) = y for whichever of the number, base or logarithm you don't already know, with the natural log, common log and change-of-base working shown.

Add, subtract, multiply and divide complex numbers, with modulus, argument, conjugate, polar form and integer powers.

Divide one polynomial by another with long division or synthetic division, showing the quotient, remainder and every step of the working.

Add, subtract and scale vectors in 2D or 3D, with dot product, cross product, magnitude, unit vector, angle and projection.

Solve two or three simultaneous linear equations by Cramer's rule, with the determinant, the full working, and a clear answer when no unique solution exists.

A full scientific calculator for arithmetic, powers, roots, logarithms and trigonometry — type an expression and get the result, with the working shown.

Find the greatest common factor of any set of whole numbers, with the Euclidean algorithm and prime factorisation both shown.

Find the least common multiple of any set of whole numbers, with prime factorisation and the first few common multiples listed.

Break any whole number into its prime factors, with the full factor tree, every divisor, and a primality check.

Raise any number to any power, including negative and fractional exponents, with the equivalent root and reciprocal forms shown.

Find square roots, cube roots and any nth root, with exact simplified surd form where one exists.

Convert between standard decimal numbers, scientific notation, engineering notation and E-notation, or do arithmetic directly on two numbers in scientific notation.

Generate random whole numbers or decimals in a range, with or without repeats, sorted or unsorted, using a cryptographically secure random source.

Generate arithmetic, geometric or Fibonacci-style sequences, with the nth term and running sum.

Solve for the remaining amount, elapsed time, half-life, or initial amount in exponential decay — for radioactive decay, drug elimination or any half-life process.

Round any number to a number of decimal places, significant figures, or the nearest multiple — with standard, up, down or banker's rounding.

See the full step-by-step long division of two whole numbers, with quotient, remainder and every working step shown.

Add, subtract, multiply, divide, mod, GCD, LCM, square, square root, factorial, or raise to a power — exact whole-number results of any size, far beyond a standard calculator display.

Add, subtract, multiply, swap, transpose, invert, raise to a power, or scalar-multiply matrices up to 6×6 in an editable grid (10×10 via text), with rank, trace and determinant shown alongside every result.

Estimate a value between two known points, or extrapolate beyond them, with the interpolation fraction and a warning when you leave the known range.

Count the significant figures in a number, round to a given number of them, and apply the arithmetic rules that decide how many a result may keep.

Divide a length in the golden ratio, or find the two parts from either segment, with the Fibonacci relationship and a typographic scale.

Spell any number in English words, including decimals and cheque wording, with British and American conventions for "and".