Math calculators
Step-by-step math for school and work. Everyday: Percentage calculator, Fraction calculator, Scientific calculator, Ratio calculator and Graphing calculator. Algebra: Quadratic equation solver, Cubic equation solver, Linear system solver, Matrix calculator and Factoring calculator. Calculus: Derivative calculator, Definite integral calculator and Limit calculator. Statistics: Standard deviation calculator, Z-score calculator, t-test calculator, Confidence interval calculator and Probability calculator. Number theory: Prime factorization calculator and GCD and LCM calculator.
- Scientific calculatorTrigonometry, logarithms, powers, roots and factorials, with a touch keypad and keyboard input.
- Fraction calculatorAdd, subtract, multiply and divide fractions and mixed numbers, with every step shown.
- Decimal to fraction calculatorTurn a decimal, even a repeating one like 0.(3), into the simplest fraction and mixed number.
- Fraction simplifierReduces a fraction to lowest terms and shows the Euclidean algorithm steps behind the GCD.
- Proportion calculatorSolve a/b = c/x for x, in direct or inverse proportion.
- Aspect ratio calculatorSimplify a width and height to a ratio, or find the missing side for 16:9, 4:3, 21:9 and more.
- Polynomial roots calculatorAll real and complex roots of a polynomial up to degree 5 from its coefficients.
- Quadratic equation solverSolve ax² + bx + c = 0 with real or complex roots, the discriminant, the vertex and the steps.
- Cubic equation solverRoots of ax³ + bx² + cx + d = 0 with the exact discriminant and the type of roots.
- Slope calculatorSlope, angle, distance, midpoint and line equation from two points, with the working shown.
- Complex number calculatorComplex arithmetic, powers and n-th roots with modulus, argument, polar and exponential form.
- Triangle calculatorSolve a triangle from three known values: all sides, angles, area, perimeter and type.
- Linear system solverSolve linear equations in up to 4 unknowns with exact fractions and every row operation shown.
- Average calculatorMean, median, mode, range, sum and count of a list of numbers.
- Eigenvalue calculatorEigenvalues and eigenvectors of 2×2 and 3×3 matrices with the characteristic polynomial.
- Pythagorean theorem calculatorFind the hypotenuse or a missing leg of a right triangle, plus its area, perimeter and angles.
- Vector calculatorSum, dot and cross product, magnitude, angle and projection of 2D and 3D vectors.
- Circle calculatorEnter the radius, diameter, circumference or area and get the other three.
- Area calculatorArea of a rectangle, square, triangle, circle, trapezoid, parallelogram, ellipse or sector.
- Volume calculatorVolume and surface area of a cube, box, cylinder, sphere, cone, pyramid or hemisphere.
- Square root calculatorSquare, cube and nth roots with the simplified radical form and the steps.
- Standard deviation calculatorSample and population standard deviation and variance, with every step.
- Quartile calculatorQ1, median, Q3, IQR, min, max and outlier fences for a list of numbers, with a choice of method.
- Linear regression calculatorLeast-squares line through your points with slope, intercept, r, R² and a prediction.
- Catalan number calculatorThe exact nth Catalan number, its size, and the first 21 values.
- GCD and LCM calculatorGreatest common divisor and least common multiple of 2–20 numbers, with steps.
- Weighted average calculatorWeighted average of value and weight pairs, with the total weight and the unweighted average for comparison.
- Arithmetic sequence calculatornth term, sum and common difference of an arithmetic sequence from the first term and difference, or from two terms.
- Birthday paradox calculatorExact chance that at least two people in a group share a birthday, with a table of common group sizes.
- Prime factorization calculatorPrime factors in exponent form, a factor tree, and all the divisors of a number.
- Prime number checkerTest any number below 2^64 for primality, with its prime factors and the neighbouring primes.
- Bayes' theorem calculatorPosterior probability P(A|B) from a prior, a likelihood and the chance of the evidence.
- Euler's totient calculatorEuler's phi function φ(n) with the prime factorization and the product formula step by step.
- Factorial calculatorExact n! for n up to 10,000, with digit count, trailing zeros and the double factorial.
- Geometric sequence calculatornth term, partial sum and infinite sum of a geometric sequence from the first term and ratio.
- Long division calculatorLong division written out step by step, with remainder and repeating decimal.
- Coefficient of variation calculatorStandard deviation divided by the mean, as a percentage, for sample or population data.
- Extended Euclidean calculatorgcd, Bézout coefficients, the step table and modular inverses for integers of up to 60 digits.
- Chinese remainder theorem calculatorSolve x ≡ aᵢ (mod mᵢ) for up to 10 congruences, coprime moduli or not, with steps.
- Distance and midpoint calculatorStraight-line distance and midpoint of a segment between two points, in 2D or 3D.
- Geometric mean calculatorGeometric mean of a list of positive numbers, with the arithmetic mean alongside.
- Cartesian and polar converterConvert between Cartesian, polar, cylindrical and spherical coordinates, with angles in degrees or radians.
- Continued fraction calculatorContinued fractions of rationals, decimals and square roots, with convergents and reverse conversion.
- Harmonic mean calculatorHarmonic mean of a list of positive numbers, shown with the geometric and arithmetic means.
- Standard error calculatorStandard error of a mean (from data or SD and n) or of a proportion (from successes and n).
- Correlation coefficient calculatorPearson r for two data series, with r², t statistic, degrees of freedom, p-value and covariance.
- Pascal's triangle generatorPascal's triangle with exact values for up to 60 rows, plus the last row's sum and middle value.
- Collatz sequence calculatorCollatz (3n + 1) sequence of a positive whole number, with steps to reach 1, the peak and a copyable list.
- Roman numeral converterNumbers to Roman numerals and back, 1–3999, with a breakdown of each part.
- Rounding calculatorRound to decimals, tens, hundreds or thousands with seven rounding rules, shown side by side.
- Truth table generatorBuilds the truth table of a Boolean expression and tells you if it is a tautology or contradiction.
- Exponent calculatorRaise any number to any power: exact for whole exponents, with digit count and E-notation.
- Logarithm calculatorLog of x to any base, plus ln, log10 and log2 at once, and an antilog (b^y) mode.
- Scientific notation converterTurn a number into scientific, engineering and E-notation, or a power-of-ten form back into a decimal.
- Circle from three points calculatorCenter, radius and equation of the circle passing through three points.
- Magic square generatorBuilds a magic square of order 3 to 21 and shows the magic constant, ready to copy.
- Poisson distribution calculatorPoisson probabilities for an average rate λ: exact, cumulative and upper tails, with a bar chart.
- Significant figures calculatorCount significant figures in a number and round it to any number of sig figs.
- Box plot makerDraws a box and whisker plot from your numbers and lists the quartiles, whiskers and outliers.
- Histogram makerDraws a histogram from your numbers with a bin count you choose, and lists the count in every interval.
- Linear interpolation calculatorFinds the value on the straight line between two points, forwards (y from x) or backwards (x from y).
- Set operations calculatorUnion, intersection, difference and symmetric difference of two sets of items.
- Taylor series calculatorTaylor and Maclaurin polynomial of f(x) around a point, with the value at x compared to the true function.
- Bisection method calculatorRoot of f(x) = 0 on [a, b] by repeated halving, with every step shown.
- One-way ANOVA calculatorOne-way analysis of variance for several groups, with the F statistic, p-value and the full table of squares.
- Expected value calculatorExpected value, variance and standard deviation for a table of outcomes and probabilities.
- Newton's method calculatorRoot of f(x) = 0 by Newton–Raphson iteration, with every step shown and clear messages when it fails.
- Number to wordsSpell out numbers in English words, including amounts for writing a check.
- Percent error calculatorPercent error of a measurement against the accepted value, with absolute and signed error.
- Ratio calculatorSimplify ratios, scale them, find the missing term of A:B = C:D, or split a ratio into percentages.
- Sample size calculatorRequired sample size for estimating a proportion or a mean, with confidence level and finite population correction.
- Z-test calculatorOne-sample z-test for a mean (known σ) or a proportion, with z, the p-value and a decision at your α.
- Permutation and combinationnPr and nCr with or without repetition, exact big-integer results up to n = 5,000.
- Binomial distribution calculatorBinomial probabilities for n trials and success chance p: exact, cumulative and upper tails, with a bar chart.
- Probability calculatorSingle events, A and B, A or B, at least one in n trials, and binomial probabilities.
- Binary calculatorArithmetic and bitwise operations in binary, hex or octal, with the result in every base.
- Z-score calculatorz-score from x, mean and standard deviation, or x from z, with normal-curve probabilities.
- Cube root calculatorReal cube roots and nth roots, with perfect-power check and simplified radical form.
- Normal distribution calculatorProbability left of, right of or between values on a normal curve, and the value at a percentile.
- t-test calculatort-test from raw data: one-sample, Welch, pooled and paired, with t, degrees of freedom and one- or two-tailed p.
- Confidence interval calculatorConfidence interval for a mean from raw data or summary statistics, with t or z critical values.
- Modulo calculatorRemainders for any integers with three sign conventions, plus modular exponentiation.
- Chi-square test calculatorChi-square test of independence for a table of counts, with p-value, expected counts and Cramér's V.
- Definite integral calculatorNumerical definite integral of f(x) on [a, b] by adaptive Simpson’s rule, with a plot of the shaded area.
- Fibonacci calculatorExact n-th Fibonacci number, the first terms of the sequence, and a Fibonacci check.
- Matrix calculatorMatrix add, subtract, multiply, transpose, determinant and inverse up to 4×4, exact fractions.
- Derivative calculatorSymbolic derivative of f(x) up to the 4th order, with f(a) and f′(a) at a point you choose.
- Equation balancerBalance a chemical equation exactly and see the atoms of each element on both sides.
- Factoring calculatorFactor an integer polynomial into the common factor, powers of x and linear factors from rational roots.
- Graphing calculatorPlot f(x) and an optional g(x); get zeros, the y-intercept, extremes in the window and the crossings.
- Limit calculatorNumeric estimate of a limit at a point or at infinity, with the table of f(x) values it is based on.
- Outlier calculatorFind the outliers in a data set by the IQR rule or by z-score, with the fences and the cleaned list.
- P-value calculatorConvert a z, t, χ² or F statistic into a p-value, one- or two-sided, and compare it with your alpha.
- Percentage calculatorX% of a number, what percent, percentage change, add or subtract a percent.
- Radical simplifierSimplify roots such as √72 to 6√2 and rationalize denominators such as 1/√2.
- Stoichiometry calculatorMoles and grams of every reactant and product from the amounts you have, with the limiting reagent.
- Projectile motion calculatorFind the range, peak height, flight time and landing speed of a launched object, and see its path.