Math Calculators
Fractions, percentages, algebra, geometry, statistics and more, with step-by-step explanations.
Basic
- Percentage CalculatorFind a percent of a number, what percent one number is of another, the whole from a part, or add or subtract a…
- Percent Change CalculatorCalculate the percent increase or decrease from an old value to a new value, with the difference and the multiplier.
- Percent Difference CalculatorCalculate the percent difference between two values using their average as the base.
- Percent Error CalculatorCalculate percent error between a measured (experimental) value and the true (accepted) value.
- Fraction CalculatorAdd, subtract, multiply and divide fractions and mixed numbers, with the answer simplified and the steps shown.
- Fraction to Decimal CalculatorConvert a fraction or mixed number to a decimal, showing repeating digits exactly, plus the percent.
- Decimal to Fraction CalculatorConvert a decimal, including a repeating decimal, to a simplified fraction and mixed number.
- Ratio CalculatorSimplify a ratio to lowest terms, scale a ratio up or down, or split a total in a given ratio.
- Proportion CalculatorSolve a proportion A/B = C/X for the missing value using cross multiplication.
- Rounding CalculatorRound a number to decimal places, the nearest 10, 100 or any multiple, or significant figures, with round half up, half…
- Scientific Notation CalculatorConvert numbers to and from scientific notation, E notation and engineering notation.
- Long Division CalculatorDivide whole numbers by long division, with each step shown, the quotient and remainder, and the decimal answer.
- Exponents CalculatorRaise a number to any power, including negative and fractional exponents, with the steps shown.
- Square Root CalculatorSquare Root Calculator: find the square root of any number, with the simplified radical form for whole numbers.
- Cube Root CalculatorCube Root Calculator: find the cube root of any number, including negatives, with the simplified radical form for whole…
- Nth Root CalculatorFind the nth root of a number for any whole-number index, with the simplified radical form.
- Logarithm CalculatorCalculate the logarithm of a number in any base, plus the natural log (ln) and common log (log10).
- Factorial CalculatorCalculate n! exactly for whole numbers up to 1,000, with the number of digits and trailing zeros.
- Mean, Median and Mode CalculatorFind the mean, median, mode, range, and standard deviation of a list of numbers.
- Absolute Value CalculatorFind the absolute value of a number, or the distance between two numbers on the number line.
Geometry
- Area CalculatorArea Calculator: find the area of a square, rectangle, triangle, circle, ellipse, trapezoid, parallelogram, rhombus,…
- Perimeter CalculatorPerimeter Calculator: find the perimeter of a square, rectangle, triangle, circle, ellipse, trapezoid, parallelogram,…
- Volume CalculatorVolume Calculator: find the volume of a cube, box, sphere, hemisphere, cylinder, cone, frustum, pyramid, prism,…
- Surface Area CalculatorSurface Area Calculator: find the surface area of a cube, box, sphere, hemisphere, cylinder, cone, frustum, pyramid,…
- Pythagorean Theorem CalculatorUse a² + b² = c² to find the hypotenuse or a missing leg of a right triangle, with the steps shown.
- Circle CalculatorFind a circle’s radius, diameter, circumference and area from any one of them, plus arc length, sector area and chord…
- Triangle SolverSolve any triangle from SSS, SAS, ASA, AAS or SSA using the law of sines and law of cosines, including the ambiguous…
- Right Triangle CalculatorSolve a right triangle from two sides or a side and an angle: all sides, angles, area, perimeter and height.
- Polygon Angles CalculatorFind the interior angle sum, each interior and exterior angle, and number of diagonals of a regular polygon with n…
Trigonometry
Calculus
Matrices
- Matrix Addition CalculatorAdd or subtract two matrices of the same size, entry by entry.
- Matrix Multiplication CalculatorMultiply two matrices (A × B) when A’s columns match B’s rows, with the result size shown.
- Matrix Determinant CalculatorFind the determinant of a square matrix of any size by row reduction.
- Matrix Inverse CalculatorFind the inverse of a square matrix with Gauss-Jordan elimination, or learn that it has none.
- Matrix Transpose CalculatorTranspose a matrix: rows become columns.
Algebra
- Quadratic Equation CalculatorSolve ax² + bx + c = 0 with the quadratic formula, including complex roots, with the discriminant, vertex and factored…
- Linear Equation SolverSolve a linear equation ax + b = cx + d for x, with every step shown.
- System of Equations CalculatorSolve a system of two or three linear equations with Cramer’s rule, showing the determinants and checking the solution.
- Slope CalculatorFind the slope of a line through two points as a fraction and decimal, with the line’s equation, angle and graph.
- Midpoint CalculatorFind the midpoint between two points by averaging their coordinates, with the distance and a graph.
- Distance Between Two Points CalculatorFind the distance between two points with the distance formula, with steps, midpoint and a graph.
- Line Equation CalculatorFind the equation of a line through two points in slope-intercept (y = mx + b) and standard form.
- Inequality SolverSolve a linear inequality ax + b < c (or ≤, >, ≥), flipping the sign when dividing by a negative, with interval…
- Exponential Growth and Decay CalculatorCalculate exponential growth or decay from a starting amount, rate and time, or find the rate, doubling time or…
Statistics & Probability
- Standard Deviation CalculatorCalculate the sample or population standard deviation of a data set, with the mean, sum of squares and each step.
- Variance CalculatorCalculate the sample or population variance of a data set, with the mean, sum of squares and each step.
- Z-Score CalculatorCalculate a z-score from a value, mean and standard deviation, with the percentile and the probability above and below,…
- Confidence Interval CalculatorCalculate a confidence interval for a mean or a proportion from sample data at 90%, 95%, 99% or any confidence level.
- Sample Size CalculatorCalculate the sample size needed for a survey or study from the confidence level, margin of error and population size.
- Margin of Error CalculatorCalculate the margin of error for a survey or poll from the sample size, confidence level, proportion and population…
- P-Value CalculatorFind the p-value for a z-score or t-statistic, one-tailed or two-tailed, and whether it’s significant at your chosen…
- T-Test CalculatorRun a one-sample or two-sample (Welch) t-test from summary statistics: t-statistic, degrees of freedom, p-value and…
- Correlation Coefficient CalculatorCalculate the Pearson correlation coefficient (r) and R² for paired data, with a p-value and scatter plot.
- Linear Regression CalculatorFind the least-squares regression line y = a + bx for paired data, with slope, intercept, R², p-value and a scatter…
- Permutations CalculatorCalculate permutations nPr, the number of ordered arrangements of r items from n, with or without repetition, exactly.
- Combinations CalculatorCalculate combinations nCr (n choose r), the number of ways to choose r items from n when order doesn’t matter, with or…
- Probability CalculatorCalculate probabilities of two events: both (A and B), either (A or B), neither, exactly one, and conditional…
- Normal Distribution CalculatorFind probabilities for a normal distribution: below, above or between values, from the mean and standard deviation, or…
- Binomial Distribution CalculatorCalculate binomial probabilities: exactly, at most, at least or between k successes in n trials with probability p,…
Number Theory
- GCF CalculatorFind the greatest common factor (GCF, or GCD) of two or more numbers, with prime factorizations and Euclid’s steps.
- LCM CalculatorFind the least common multiple (LCM) of two or more numbers, with prime factorizations and the GCF.
- Prime Factorization CalculatorBreak a whole number into its prime factors, shown with exponents, a factor list and the number of divisors.
- Prime Number CheckerCheck whether a number is prime, see its smallest factor if not, and find the nearest primes above and below.
- Number Base ConverterConvert numbers between binary, octal, decimal, hexadecimal and any base from 2 to 36.
- Roman Numerals ConverterConvert numbers to Roman numerals and Roman numerals to numbers, from 1 to 3,999, with the breakdown shown.
- Significant Figures CalculatorCount the significant figures in a number and round a number to any number of significant figures, with the rules…