Math calculators

66 free math tools, each with the formula and step-by-step working.

• Absolute Value CalculatorDistance from zero, and |ax+b| equations.
• Antilog CalculatorInverse logarithm for any base.
• Arc Length CalculatorLength of a circular arc.
• Arithmetic Sequence Calculatornth term and sum of an arithmetic series.
• Binary ConverterBinary, decimal, hex and octal in one step.
• Circle CalculatorArea, circumference and diameter from any one value.
• Circumference CalculatorCircle circumference from radius or diameter.
• Coin Flip Probability CalculatorOdds of getting a number of heads in N flips.
• Combination and Permutation CalculatornCr, nPr and factorials for counting problems.
• Cone Volume CalculatorVolume and surface area of a cone.
• Cross Product CalculatorVector cross product in 3D.
• Cube Root CalculatorCube root of any number.
• Determinant Calculator2×2 and 3×3 matrix determinants.
• Distance Formula CalculatorDistance and midpoint between two coordinates.
• Dot Product CalculatorScalar product and angle between vectors.
• Ellipse CalculatorArea, perimeter and foci of an ellipse.
• Exponent CalculatorPowers, roots, scientific notation and logs in one place.
• Factorial Calculatorn! and related combinatorics.
• Fibonacci CalculatorFibonacci terms and the golden ratio.
• Fraction CalculatorAdd, subtract, multiply and divide fractions with full working.
• Fraction to Decimal CalculatorConvert fractions to decimals and percentages, both ways.
• GCF and LCM CalculatorGreatest common factor and least common multiple, with prime factors.
• Geometric Sequence Calculatornth term and sum of a geometric series.
• Graphing CalculatorPlot any function instantly, with roots, extrema and a value table.
• Harvard Graphing CalculatorThe Harvard-style online function plotter: graph f(x) with roots, extrema and a value table.
• Hexagon Area CalculatorRegular hexagon area and perimeter.
• Hyperbola CalculatorCenter, vertices, foci, eccentricity and asymptotes from a, b and the center.
• Law of Cosines CalculatorSolve triangles with two sides and an angle.
• Law of Sines CalculatorSolve triangles from angles and a side.
• Logarithm Calculatorlog base 10, natural log and any custom base.
• Mean Value Theorem CalculatorFind every c in (a, b) where the instantaneous rate equals the average rate of change.
• Midpoint CalculatorMidpoint between two coordinates.
• Mixed Number CalculatorConvert and add mixed numbers.
• Modulo CalculatorRemainder after division.
• Partial Derivative CalculatorNumeric partial derivatives of multivariable functions at a point, including gradients.
• Percent Error CalculatorExperimental accuracy against a true value.
• Percentage CalculatorPercent of a number, percent change and 'X is what % of Y'.
• Percentage Change CalculatorIncrease, decrease and percentage-point difference.
• Percentage Increase CalculatorGrowth or decline between two values, in percent.
• Permutation CalculatorOrdered arrangements nPr.
• Piecewise Function CalculatorEvaluate and graph piecewise-defined functions, and test continuity at a point.
• Prime Factorization CalculatorBreak any number into its prime building blocks.
• Pyramid Volume CalculatorVolume and surface area of a pyramid.
• Pythagorean Theorem CalculatorSolve for any missing side of a right triangle.
• Quadratic Formula CalculatorRoots, vertex and discriminant for ax² + bx + c.
• Radical Form CalculatorSimplify square and nth roots to exact radical form, with the decimal value.
• Random Number GeneratorRandom integers in any range, with or without repeats.
• Ratio CalculatorSimplify ratios, scale them and solve for a missing term.
• Rectangle Area CalculatorArea, perimeter and diagonal.
• Relative Extrema CalculatorLocate local maxima, local minima and inflection points on any interval.
• Rolle's Theorem CalculatorCheck the hypotheses and find every c in (a, b) with f′(c) = 0.
• Roman Numeral ConverterNumbers to Roman numerals and back.
• Rounding CalculatorRound to decimals, whole numbers or any nearest multiple.
• Scientific Notation ConverterConvert between standard form and decimal notation.
• Sector Area CalculatorArea of a pie slice of a circle.
• Significant Figures CalculatorCount sig figs and round correctly.
• Simplify Fraction CalculatorReduce any fraction to lowest terms.
• Simpson's Rule CalculatorApproximate definite integrals with Simpson's 1/3 rule and compare with the trapezoid rule.
• Slope CalculatorGradient, angle, distance and the line equation.
• Sphere Volume CalculatorSphere volume and surface area.
• Square Root CalculatorExact simplified radical plus the decimal value.
• Surface Area CalculatorSurface area of common 3D shapes.
• Trapezoid Area CalculatorArea and perimeter of a trapezoid.
• Triangle Area CalculatorArea from base and height, or all three sides.
• Unit Circle CalculatorSine, cosine and tangent of any angle.
• Volume CalculatorVolume of cylinders, boxes, spheres and cones.

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