Math

Algebra, geometry, statistics, and more.

411 Tools

2D geometry calculators 📏

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Area Calculator

Calculate the area of various 2D shapes.

Area of a Rectangle

Calculate the area and perimeter of a rectangle.

Area of Crescent

Calculate the area of a crescent or lune shape.

Center of Mass

Find the center of mass (centroid) for a set of points.

Centroid Calculator

Calculate the centroid of various geometric shapes.

Chord Length Calculator

Find the length of a chord in a circle.

Conic Sections Calculator

Identify and analyze conic sections from general equations.

Cross-Sectional Area

Calculate the cross-sectional area of various 3D shapes.

Cycloid Calculator

Calculate points and area of a cycloid curve.

Ellipse Calculator

Calculate the area, perimeter, and focal length of an ellipse.

Golden Rectangle Calculator

Calculate dimensions of a rectangle following the golden ratio.

Hexagon Calculator

Calculate area, perimeter, and diagonals of a regular hexagon.

Möbius Strip Calculator

Calculate properties of a Möbius strip (surface area).

Moment of Inertia

Calculate the area moment of inertia for various cross-sections.

Octagon Calculator

Calculate properties of a regular octagon.

Orthocenter Calculator

Find the orthocenter of a triangle given its vertices.

Pentagon Calculator

Calculate area and perimeter of a regular pentagon.

Perimeter Calculator

Comprehensive perimeter calculator for common shapes.

Quadrilateral Calculator

Identify and analyze types of quadrilaterals.

Area of Rectangle Quiz

Test your skills calculating rectangle areas.

Polygon Calculator

Calculate properties of any regular polygon with n sides.

Segment Addition Postulate

Apply the segment addition postulate (AB + BC = AC).

Segment Area Calculator

Calculate the area of a circular segment.

Spiral Length Calculator

Calculate the length of an Archimedean spiral.

Square Calculator

Find area, perimeter, and diagonal of a square.

Star Shape Calculator

Calculate area and points of a star (n-pointed polygon).

Trapezoid Calculator

Calculate area and perimeter of a trapezoid.

Algebra calculators 🔡

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Absolute Value Equation Calculator

Solve absolute value equations.

Absolute Value Inequalities Calculator

Solve absolute value inequalities.

Adding and Subtracting Polynomials Calculator

Add or subtract two polynomials.

Bessel Function Calculator

Calculate Bessel functions of the first kind.

Binomial Coefficient Calculator

Calculate the binomial coefficient (n choose k).

Box Method Calculator

Multiply polynomials using the box method.

Completing the Square Calculator

Complete the square for a quadratic expression.

Complex Conjugate Calculator

Find the complex conjugate of a complex number.

Complex Number Calculator

Perform arithmetic operations on complex numbers.

Complex Root Calculator

Find the roots of a complex number.

Cubic Equation Calculator

Solve cubic equations of the form ax^3 + bx^2 + cx + d = 0.

Descartes' Rule of Signs Calculator

Determine the maximum number of positive and negative real roots of a polynomial.

Diamond Problem Calculator

Solve diamond problems used in factoring quadratics.

Direct Variation Calculator

Calculate values for variables in a direct variation (y = kx).

Discriminant Calculator

Calculate the discriminant of a quadratic equation (b² - 4ac).

Elimination Method Calculator

Solve a system of two linear equations using the elimination method.

Error Function Calculator

Calculate the Gauss error function erf(x).

Factoring Trinomials Calculator

Factor a trinomial of the form ax² + bx + c.

FOIL Calculator

Expand the product of two binomials using the FOIL method.

Gamma Function Calculator

Calculate the Gamma function Γ(n).

Generic Rectangle Calculator

Multiply polynomials using a generic rectangle (area model).

Graphing Inequalities on a Number Line

Visual represent linear inequalities on a 1D number line.

Graphing Quadratic Inequalities

Graph quadratic inequalities of the form y > ax² + bx + c.

Hyperbolic Functions Calculator

Calculate sinh, cosh, and tanh of a value.

Inequality to Interval Notation

Convert a standard inequality into interval notation.

Interval Notation Calculator

Express mathematical intervals in standard notation.

Inverse Variation Calculator

Calculate values for variables in an inverse variation (y = k/x).

Multiplying Binomials Calculator

Calculate the product of two binomial expressions.

Multiplying Polynomials Calculator

Find the product of any two polynomials.

Partial Fraction Decomposition

Decompose a rational function into simpler partial fractions.

Perfect Square Trinomial

Identify and factor perfect square trinomials.

Polynomial Division Calculator

Perform long division of polynomials.

Power Set Calculator

Generate the power set of a given set.

Quadratic Formula Calculator

Solve quadratic equations using the quadratic formula.

Quaternion Calculator

Perform arithmetic on quaternions (w, x, y, z).

Rational Zeros Calculator

Find all possible rational zeros of a polynomial using the Rational Root Theorem.

Square of a Binomial

Expand the square of a binomial (a + b)².

Subset Calculator

Determine if one set is a subset of another.

Substitution Method Calculator

Solve linear systems using the substitution method.

Synthetic Division Calculator

Perform synthetic division of a polynomial by a linear factor (x-c).

System of Equations Calculator

Solve systems of linear equations with multiple variables.

Truth Table Generator

Generate truth tables for logical expressions.

Union and Intersection Calculator

Calculate the union and intersection of two sets.

Arithmetic calculators ➗

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Absolute Change Calculator

Calculate the absolute difference between two values.

Absolute Value Calculator

Calculate the absolute value (modulus) of a number.

Adding and Subtracting Fractions

Add or subtract two fractions with step-by-step logic.

Addition Calculator

Simple addition tool for multiple numbers.

Associative Property Calculator

Verify the associative property of addition or multiplication.

Average Calculator

Calculate the arithmetic mean of a set of numbers.

Ceiling Function Calculator

Round a number up to the nearest integer.

Chinese Remainder Theorem

Solve systems of linear congruences using CRT.

Compatible Numbers Calculator

Find compatible numbers for easier mental estimation.

Consecutive Integers Calculator

Find consecutive integers that sum to a specific value.

Cross Multiplication Calculator

Solve proportions using cross multiplication (a/b = c/d).

Cube Root Calculator

Calculate the cube root of a number.

Decimal Calculator

Basic arithmetic operations for decimal numbers.

Digital Root Calculator

Calculate the digital root (iterative digit sum) of a number.

Distributive Property Calculator

Demonstrate the distributive property a(b + c) = ab + ac.

Divisibility Test Calculator

Check if a number is divisible by 2, 3, 4, 5, 6, 9, or 10.

Long Division Calculator

Perform long division with steps.

Egyptian Fractions Calculator

Represent a fraction as a sum of distinct unit fractions.

Expanded Form Calculator

Write a number in expanded notation based on place values.

Factor Calculator

Find all positive factors of a number.

Factorial Calculator

Calculate the factorial of a non-negative integer n!.

Fermat's Little Theorem

Verify a^(p-1) ≡ 1 (mod p) where p is prime.

Floor Division Calculator

Perform division and round down to the nearest integer.

Floor Function Calculator

Calculate the largest integer less than or equal to x.

Fundamental Counting Principle

Calculate total outcomes using the multiplication rule.

GCF Calculator

Find the Greatest Common Factor of two numbers.

GCF and LCM Calculator

Calculate both GCF and LCM of two numbers.

Geometric Mean Calculator

Calculate the geometric mean of a set of numbers.

Greater Than Or Less Than

Compare two numbers and determine relationship.

Harmonic Mean Calculator

Calculate the harmonic mean of a set of numbers.

Integer Calculator

Perform basic arithmetic on integers.

Inverse Modulo Calculator

Find the modular multiplicative inverse of a number.

LCM Calculator

Find the Least Common Multiple of two numbers.

Long Addition Calculator

Perform addition with step-by-step place value visualization.

Long Multiplication Calculator

Perform multiplication with step-by-step partial products.

Long Subtraction Calculator

Perform subtraction with borrowing/regrouping steps.

Magic Square Calculator

Generate or verify a magic square.

Mean Calculator

Calculate the mean (average) of a data set.

Modulo Calculator

Calculate the remainder of a division (a mod n).

Multiplication Calculator

Simple multiplication of numbers.

Multiplicative Inverse Calculator

Find the reciprocal or multiplicative inverse of a number.

Multiplicative Inverse Modulo

Modular multiplicative inverse (a⁻¹ mod m).

Order of Magnitude

Calculate the order of magnitude of a number.

Partial Products Calculator

Multiply numbers using the partial products method.

Perfect Cube Calculator

Check if a number is a perfect cube.

Perfect Square Calculator

Check if a number is a perfect square.

Pi Experiments Calculator

Explore the value and digits of Pi (π).

Place Value Calculator

Identify place values of digits in a number.

Polish Notation Converter

Convert expressions between Infix and Polish (Prefix) notation.

Power Mod Calculator

Calculate (base^exp) mod n.

Powers of i Calculator

Calculate powers of the imaginary unit i.

Prime Factorization Calculator

Find the prime factors of a number.

Prime Number Calculator

Check if a number is prime and find nearby primes.

Quotient Calculator

Calculate the quotient and remainder of a division.

Radical Calculator

Calculate the n-th root of a number.

Rationalize Denominator

Rationalize the denominator of a radical expression.

Reciprocal Calculator

Find the reciprocal (1/x) of a number.

Relatively Prime Calculator

Check if two numbers are relatively prime (coprime).

Remainder Calculator

Find the remainder of an integer division.

Reverse FOIL Calculator

Factor quadratic trinomials using the reverse FOIL method.

Root Calculator

Calculate any n-th root of a number.

Root Mean Square Calculator

Calculate the Root Mean Square (RMS) of a set of values.

Rounding Calculator

Round numbers to the nearest integer or specified decimal place.

Round to Nearest Thousand

Quickly round any number to the nearest thousand.

Scientific Notation Calculator

Convert numbers to and from scientific notation.

Set Builder Calculator

Generate sets using set-builder notation logic.

Significant Figures Calculator

Identify and round to significant figures.

Simplify Cube Root

Simplify cube roots into radical form (a∛b).

Simplifying Radicals

Simplify square roots into radical form (a√b).

Square Root Calculator

Calculate the square root of a number.

Standard Form Calculator

Convert numbers to standard form (scientific notation).

Subtracting Fractions Calculator

Dedicated tool for subtracting fractions.

Subtraction Calculator

Simple subtraction of multiple numbers.

Digit Sum Calculator

Calculate the sum of all digits in a number.

Sum of Products Calculator

Calculate the sum of products of multiple pairs (a*b + c*d + ...).

Terminating Decimals

Check if a fraction results in a terminating or repeating decimal.

Triangular Numbers Calculator

Calculate the n-th triangular number.

Weighted Average Calculator

Calculate the average of values with different weights.

Coordinate geometry calculators 📈

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Average Rate of Change

Calculate the average rate of change of a function over an interval.

Bilinear Interpolation

Interpolate values within a 2D grid.

Catenary Curve Calculator

Calculate points on a catenary curve (hanging chain).

Coordinate Grid Calculator

Explore points and shapes on a Cartesian coordinate plane.

Cosine Similarity

Calculate the cosine similarity between two vectors.

Cross Product Calculator

Calculate the cross product of two 3D vectors.

Cylindrical Coordinates

Convert between Cartesian and Cylindrical coordinates.

Direction of the Vector

Calculate the direction angle of a 2D vector.

Distance Formula Calculator

Calculate the distance between two points in 2D space.

Distance: Point to Plane

Find the shortest distance from a point to a plane in 3D.

Dot Product Calculator

Calculate the dot product of two vectors.

Endpoint Calculator

Find an endpoint given the midpoint and the other endpoint.

Equation of a Sphere

Find the equation of a sphere given its center and radius.

Gradient Calculator

Calculate the gradient (slope) between two points.

Intersection of Two Lines

Find the intersection point of two lines in 2D.

Irregular Polygon Area

Calculate the area of an irregular polygon given its vertices.

Latus Rectum Calculator

Calculate the length of the latus rectum of a conic section.

Least Squares Regression

Find the best-fit line for a set of points.

Linear Interpolation

Find a value between two known values.

Line Equation from 2 Points

Find the equation of a line passing through two points.

Line of Intersection: 2 Planes

Find the parametric equation of the line where two planes intersect.

Manhattan Distance

Calculate the taxicab distance between two points.

Midpoint Calculator

Find the midpoint between two points in 2D or 3D.

Parabola Calculator

Analyze a parabola (vertex, focus, directrix).

Parallel Line Calculator

Find the equation of a line parallel to another passing through a point.

Perpendicular Line

Find the equation of a line perpendicular to another.

Point Slope Form

Write the equation of a line in point-slope form.

Polar Coordinates

Convert Cartesian coordinates (x,y) to Polar coordinates (r,θ).

Polynomial Graphing

Identify key features for graphing polynomials (intercepts, end behavior).

Directed Line Segments

Find a point that partitions a segment in a given ratio.

Rise Over Run Calculator

Calculate slope using the rise over run method.

Rotation Calculator

Rotate a point (x,y) around the origin by an angle.

Scatter Plot Calculator

Analyze a set of bivariate data for correlation.

Slope Calculator

Comprehensive slope calculator for points and equations.

Slope Intercept Form

Write the equation of a line in y = mx + b form.

Spherical Coordinates

Convert between Cartesian and Spherical coordinates.

Standard to Slope-Intercept

Convert Ax + By = C to y = mx + b.

3D Distance Calculator

Calculate the distance between two points in 3D space.

Triangulation Calculator

Determine position using angles from multiple fixed points.

Unit Vector Calculator

Normalize a vector to find its unit vector.

Vector Calculator

General vector analysis tool (magnitude, direction).

Vector Addition

Add two or more vectors together.

Vector Magnitude

Calculate the magnitude (length) of a vector.

Vector Projection

Calculate the projection of one vector onto another.

Vertex Form Calculator

Convert a quadratic equation from standard form to vertex form.

Volume: Parallelepiped

Calculate the volume of a parallelepiped using the scalar triple product.

y-intercept Calculator

Find the y-intercept of a line or function.

Linear algebra calculators 🔢

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Adjoint Matrix Calculator

Calculate the adjoint (adjugate) of a square matrix.

Characteristic Polynomial

Find the characteristic polynomial of a matrix.

Cholesky Decomposition

Perform Cholesky decomposition on a positive-definite matrix.

Cofactor Matrix Calculator

Find the cofactor matrix of a square matrix.

Column Space Calculator

Find the basis for the column space of a matrix.

Condition Number

Calculate the condition number of a matrix.

Corner Point Calculator

Identify corner points (vertices) of a feasible region in linear programming.

Cramer's Rule Calculator

Solve a system of linear equations using Cramer's Rule.

Diagonalize Matrix

Find the diagonal form and transformation matrix (P and D).

Eigenvalues & Eigenvectors

Calculate eigenvalues and corresponding eigenvectors for a matrix.

Gauss-Jordan Elimination

Solve systems of linear equations using Gauss-Jordan elimination.

Gram-Schmidt Process

Orthonormalize a set of vectors using the Gram-Schmidt process.

Hadamard Product

Calculate the element-wise (Hadamard) product of two matrices.

Inverse Matrix Calculator

Calculate the inverse of a square matrix.

Linear Combination

Express a vector as a linear combination of other vectors.

Linear Independence

Check if a set of vectors is linearly independent.

LU Decomposition

Perform LU decomposition (lower and upper triangular matrices).

Matrix Calculator

General matrix arithmetic and analysis tool.

Matrix Addition & Subtraction

Add or subtract two matrices of the same dimensions.

Matrix by Scalar

Multiply a matrix by a scalar value.

Matrix Determinant

Calculate the determinant of a square matrix.

Matrix Multiplication

Multiply two matrices (A * B).

Matrix Norm Calculator

Calculate various matrix norms (Frobenius, 1-norm, inf-norm).

Matrix Power Calculator

Calculate a square matrix raised to an integer power (A^n).

Matrix Rank Calculator

Find the rank of a matrix.

Matrix Trace Calculator

Calculate the trace of a square matrix (sum of diagonal elements).

Matrix Transpose

Transpose a matrix (swap rows and columns).

Null Space Calculator

Find the basis for the null space (kernel) of a matrix.

Polar Decomposition

Factor a matrix into a product of a unitary matrix and a positive-semidefinite matrix.

Pseudoinverse Calculator

Calculate the Moore-Penrose pseudoinverse of a matrix.

QR Decomposition

Factor a matrix into an orthogonal matrix Q and an upper triangular matrix R.

(Reduced) Row Echelon Form

Convert a matrix to row echelon form or reduced row echelon form (RREF).

Singular Values Calculator

Calculate the singular values of a matrix.

SVD Calculator

Perform Singular Value Decomposition (UΣV*) on a matrix.

Tensor Product Calculator

Calculate the Kronecker (tensor) product of two matrices.

Trigonometry calculators 📐

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Arccos Calculator

Calculate the inverse cosine (arccos) of a value.

Arcsin Calculator

Calculate the inverse sine (arcsin) of a value.

Arctan Calculator

Calculate the inverse tangent (arctan) of a value.

Cofunction Calculator

Find cofunction values (e.g., sin(x) = cos(90-x)).

Cosecant Calculator

Calculate the cosecant (csc) of an angle.

Cosine Calculator

Calculate the cosine (cos) of an angle.

Cotangent Calculator

Calculate the cotangent (cot) of an angle.

Double Angle Formula

Calculate trig values for double angles (2θ).

Half Angle Calculator

Calculate trig values for half angles (θ/2).

Inverse Trig Functions

Comprehensive tool for all inverse trigonometric functions.

Law of Cosines

Solve triangles using the Law of Cosines.

Law of Sines

Solve triangles using the Law of Sines.

Phase Shift Calculator

Calculate the phase shift of a trigonometric function.

Power Reducing Formula

Simplify trig powers (e.g., sin²x) using power reducing formulas.

Right Triangle Quiz

Practice solving right triangles with this interactive quiz tool.

Trigonometry Quiz

Test your knowledge of trigonometric functions and identities.

Secant Calculator

Calculate the secant (sec) of an angle.

Sine Calculator

Calculate the sine (sin) of an angle.

Sum & Difference Identities

Calculate trig values for sums or differences of angles.

Tangent Calculator

Calculate the tangent (tan) of an angle.

Trig Identities Calculator

Verify or solve trigonometric identities.

Trigonometric Functions

Evaluate all six basic trigonometric functions for an angle.

Trigonometry Calculator

A complete toolkit for solving trigonometric problems.

Unit Circle Calculator

Explore the coordinates (x, y) of points on the unit circle.