Math Calculators

Calculate percentages, percent of a number, and percentage changes fast.

Advanced math calculator supporting trigonometry, logs, exponentials, and roots.

Calculate the percentage increase or decrease from an old value to a new value, the new value after an increase, or the original value, with steps.

Add, subtract, multiply, and divide fractions.

Simplify ratios, solve A : B = C : D for a missing value, scale ratios, divide a quantity in a ratio and compare ratios, with steps.

Calculate the average (mean) of a list of numbers with the median, mode and range, or a weighted average, with step-by-step working.

Calculate sample and population standard deviation and variance of a dataset, with the mean, a deviation table and step-by-step working.

Calculate powers with positive, negative and fractional exponents, get exact and decimal answers, and solve for a missing exponent or base, with steps.

Solve ax^2 + bx + c = 0 quadratic equations.

Calculate log_b(x) for any base, common logs (base 10) and natural logs (ln), use change of base, and solve bˣ = y and log_b(x) = y, with steps.

Calculate determinant, trace, and inverse values for a 2x2 matrix.

Check whether a whole number is prime or composite, list its factors and prime factorization, and find the nearest primes.

Find the least common multiple of two or more whole numbers, with verification, GCD steps, and the prime factorization method.

Find the greatest common factor of two or more whole numbers, with verification, Euclidean algorithm steps, common factors, and prime factorization.

Convert numbers to Roman numerals and Roman numerals to numbers from 1 to 3999, with a step-by-step breakdown and validation.

Round decimal numbers to any number of places.

Calculate simple probability from favorable and total outcomes, as a percentage, decimal, and simplified fraction, with the complement and step-by-step working.

Calculate permutations (nPr) with exact results and step-by-step working, with or without repetition.

Calculate combinations (nCr), the number of ways to choose r items from n when order does not matter, with exact results and step-by-step working.

Solve any triangle from what you know: three sides, two sides and an angle, two angles and a side, a right triangle, or base and height.

Find radius, diameter, circumference, and area from any one of them, plus arc length, sector area, chords, central angles, and segments.

Find the slope, equation, intercepts, angle, distance, and midpoint of a line from two points, an equation, or a point and slope, with a graph.

Solve linear equations for x with step-by-step working and a check, or analyze and graph a line in x and y.

Solve System of Equations problems online with fast math inputs and results.

Solve linear, quadratic, absolute value, and compound inequalities with steps, a number line, and interval notation.

Find all real and complex roots of a polynomial, with exact answers, multiplicities, factored form, a graph, and step-by-step working.

Solve Derivative problems online with fast math inputs and results.

Solve Integral problems online with fast math inputs and results.

Find the limit of a function step by step: two-sided, left-hand, right-hand and infinity limits, 0/0 forms, and a table and graph.

Find the equation of the tangent line to f(x) at x = a, with the point, derivative, slope, steps, graph and linear approximation.

Find the domain of a function with steps: every restriction from denominators, roots, logarithms and trig functions, in interval and set-builder notation.

Solve Function Range problems online with fast math inputs and results.

Find the nth term, common difference, sum and missing terms of an arithmetic sequence, with exact fractions and step-by-step working.

Find the common ratio, nth term, finite and infinite sums, missing terms and geometric means, with exact fractions and step-by-step working.

Add arithmetic and geometric sequences, any block of terms, your own list of numbers, or an infinite geometric series, with exact results and steps.

Expand (a + b)ⁿ step by step with the Binomial Theorem, find any term or coefficient, calculate C(n, k), and explore Pascal's Triangle.

Add, subtract, multiply and divide complex numbers step by step, and find the modulus, argument, conjugate and polar form on the complex plane.

Add, subtract and scale 2D and 3D vectors, find magnitude, direction and unit vectors, and calculate dot products, cross products and the angle between vectors, step by step.

Calculate the dot product of two 2D or 3D vectors step by step, find the angle between them, and see whether they are perpendicular.

Calculate the cross product of two 3D vectors with the determinant method, step by step, plus its magnitude, the angle between the vectors, areas and a 3D view.

Find the distance between two points in 2D or 3D with the distance formula, showing Δx, Δy, Δz, every substitution step, the exact answer and a graph.

Find the midpoint between two points with step-by-step working for each coordinate and a coordinate plane showing A, B and M.

Graph y = ax² + bx + c and find the vertex, axis of symmetry, intercepts, discriminant, vertex and factored forms, focus and directrix, step by step.

Graph an ellipse from its center and semi-axes or its equation, and find the vertices, co-vertices, foci, eccentricity, area and perimeter step by step.

Graph a hyperbola with its asymptotes and fundamental rectangle, and find the center, vertices, foci, eccentricity and asymptote equations step by step.

Find the total, curved (lateral) and base surface area of a cube, cuboid, sphere, cylinder, cone, hemisphere or triangular prism, with formulas and steps.

Find the volume of a cube, cuboid, sphere, cylinder, cone, hemisphere, triangular prism or pyramid, with exact and decimal answers and steps.

Convert numbers to and from scientific and engineering notation, add, subtract, multiply and divide in scientific notation, and round to significant figures, with steps.

Count significant figures digit by digit, round to any number of sig figs, and add, subtract, multiply or divide measurements with the correct sig fig rules, step by step.

Find a mod b, the remainder of a division, with the quotient, the equation a = bq + r and step-by-step working, including negative numbers.

Calculate n! exactly, with the step-by-step multiplication, digit count, trailing zeros and scientific notation.

Find the prime factors of a number with step-by-step division, exponent form, a factor tree, factor pairs and a check of the answer.

Calculate a z-score from a value, mean and standard deviation, with the steps, what it means, a bell-curve chart and the normal-distribution percentile.

Calculate a confidence interval for a population mean from the sample mean, standard deviation and sample size, using t or z, with the margin of error and every step.

Find the minimum sample size for a survey from the confidence level, margin of error, expected proportion and optional population size, with every step shown.

Calculate the Pearson correlation coefficient (r) from paired X and Y data, with its strength, direction, r², a scatter plot and the full calculation.

Find the least-squares regression line from X and Y data: slope, intercept, R², r, predictions, residuals, a scatter plot and every calculation step.

Run a chi-square goodness-of-fit test or test of independence: χ², degrees of freedom, p-value, expected counts, contributions and a clear decision.

Run a one-sample, independent two-sample (Welch or pooled) or paired t-test from raw data or summary statistics, with the p-value, confidence interval and every step.

Run a one-way ANOVA (classical or Welch) on two or more groups: F-statistic, p-value, ANOVA table, effect sizes, charts and every calculation step.