Math Calculators
Algebra, geometry, trigonometry, calculus, number theory, and matrix calculators.
Percentage Calculator
Calculate percentages instantly. Find what percent one number is of another, or calculate a percentage of a number.
Percentage Increase Calculator
Calculate the percentage increase from one value to another. Find out how much a number has grown in percentage terms.
Percentage Decrease Calculator
Calculate the percentage decrease from one value to another. Find out how much a number has dropped in percentage terms.
Fraction Calculator
Add, subtract, multiply, and divide two fractions. Enter the numerators and denominators to see the results.
Fraction to Decimal Calculator
Convert any fraction to its decimal equivalent. Simply enter the numerator and denominator.
Decimal to Fraction Calculator
Convert a decimal number to a fraction approximation. Enter any decimal value to see its fractional representation.
Average Calculator
Calculate the average (arithmetic mean) of up to 5 numbers. Also shows the sum and count of values.
Mean Calculator
Calculate the arithmetic mean of 4 numbers. Also known as the average, the mean is the sum of all values divided by the count.
Median Calculator
Find the median (middle value) of three numbers. The median is the value that separates the higher half from the lower half of a data set.
Range Calculator
Calculate the range of a data set. The range is the difference between the largest and smallest values, showing the spread of your data.
Standard Deviation Calculator
Calculate the population standard deviation of three values. Standard deviation measures how spread out numbers are from the mean.
Variance Calculator
Calculate the variance of three values. Variance measures how far each number in the set is from the mean and from every other number.
Probability Calculator
Calculate the probability of an event occurring. Enter the number of favorable outcomes and total possible outcomes.
Permutation Calculator
Calculate the number of permutations (ordered arrangements) of n items taken r at a time. Uses the formula P(n,r) = n! / (n-r)!
Combination Calculator
Calculate the number of combinations (unordered selections) of n items taken r at a time. Uses the formula C(n,r) = n! / (r! × (n-r)!).
Factorial Calculator
Calculate the factorial of any non-negative integer. Factorial (n!) is the product of all positive integers up to n.
Greatest Common Factor Calculator
Find the greatest common factor (GCF) of two numbers. Also known as the greatest common divisor (GCD) or highest common factor (HCF).
Least Common Multiple Calculator
Find the least common multiple (LCM) of two numbers. The LCM is the smallest positive number that is divisible by both numbers.
Slope Calculator
Calculate the slope of a line given two points (x1, y1) and (x2, y2). Also shows the y-intercept and line equation.
Distance Calculator
Calculate the distance between two points in a 2D coordinate plane using the distance formula.
Midpoint Calculator
Find the midpoint between two points on a coordinate plane. The midpoint is the point exactly halfway between two given points.
Quadratic Formula Calculator
Solve quadratic equations (ax² + bx + c = 0) using the quadratic formula. Find both roots and the discriminant.
Circle Area Calculator
Calculate the area of a circle from its radius. Also shows the diameter, circumference, and other circle properties.
Circle Circumference Calculator
Calculate the circumference (perimeter) of a circle from its radius. Also shows the area and diameter.
Triangle Area Calculator
Calculate the area of a triangle using base and height. The most common and straightforward triangle area formula.
Triangle Angle Calculator
Find the missing angle of a triangle when you know the other two angles. The sum of all angles in a triangle is always 180 degrees.
Pythagorean Theorem Calculator
Calculate the hypotenuse or missing side of a right triangle using the Pythagorean theorem (a² + b² = c²).
Volume of Sphere Calculator
Calculate the volume and surface area of a sphere from its radius. Enter the radius to get instant results.
Volume of Cylinder Calculator
Calculate the volume and surface area of a cylinder from its radius and height.
Volume of Cone Calculator
Calculate the volume and surface area of a cone from its radius and height.
Quadratic Formula Solver
Solve quadratic equations of the form ax² + bx + c = 0 using the quadratic formula. Shows discriminant and both roots.
Linear Equation Solver
Solve a linear equation ax + b = c for x. Also shows the slope-intercept form properties.
Simultaneous Equations Solver (2×2)
Solve a system of two linear equations with two unknowns using Cramer's rule. Enter coefficients for a1*x + b1*y = c1 and a2*x + b2*y = c2.
Polynomial Roots Calculator
Analyze a cubic polynomial ax³ + bx² + cx + d. Shows the sum and product of roots via Vieta's formulas.
Absolute Value Calculator
Calculate the absolute value of a number. Also shows the distance from zero on the number line.
Exponent Calculator
Calculate the value of a number raised to any power. Computes base^exponent for any real numbers.
Logarithm Calculator
Calculate logarithms in any base. Shows natural log (ln), common log (log10), and custom base.
Nth Root Calculator
Calculate the nth root of any number. Find square roots, cube roots, or any nth root.
Scientific Notation Calculator
Convert numbers to and from scientific notation. Enter a coefficient and exponent, or a plain number.
Significant Figures Calculator
Round a number to a specified number of significant figures. Essential for scientific calculations and measurement reporting.
Circle Calculator (Advanced)
Calculate circle area, circumference, diameter, and sector area from the radius. Includes arc length computation.
Triangle Calculator (Advanced)
Calculate triangle area using Heron's formula from three side lengths. Also computes perimeter and inradius.
Trapezoid Area Calculator
Calculate the area and perimeter of a trapezoid from its two parallel sides (bases), height, and leg lengths.
Parallelogram Area Calculator
Calculate the area and perimeter of a parallelogram from base, height, and side length.
Ellipse Area Calculator
Calculate the area and approximate circumference of an ellipse from its semi-major and semi-minor axes.
Regular Polygon Area Calculator
Calculate the area, perimeter, and interior angle of a regular polygon given the number of sides and side length.
Cone Volume & Surface Area Calculator
Full cone calculator: volume, lateral area, total surface area, and slant height from radius and height.
Pyramid Volume Calculator
Calculate the volume and surface area of a square pyramid from base side length and height.
Torus Volume Calculator
Calculate the volume and surface area of a torus (doughnut shape) from its major and minor radii.
Prism Volume Calculator
Calculate the volume and surface area of a rectangular prism (box) from length, width, and height.
Sine Calculator
Calculate the sine of an angle in degrees or radians. Also shows related trigonometric values.
Cosine Calculator
Calculate the cosine of an angle in degrees. Also shows sine and tangent.
Tangent Calculator
Calculate the tangent of an angle in degrees. Shows sine, cosine, and tangent together.
Inverse Sine (Arcsin) Calculator
Calculate the inverse sine (arcsin) of a value. Returns the angle whose sine equals the input.
Inverse Cosine (Arccos) Calculator
Calculate the inverse cosine (arccos) of a value. Returns the angle whose cosine equals the input.
Inverse Tangent (Arctan) Calculator
Calculate the inverse tangent (arctan) of a value. Returns the angle whose tangent equals the input.
Law of Sines Calculator
Use the law of sines to find a missing side. Given side a, angle A, and angle B, find side b.
Law of Cosines Calculator
Use the law of cosines to find the third side of a triangle given two sides and the included angle.
Radian Converter
Convert between degrees and radians. Also shows the angle as a fraction of pi.
Degrees Minutes Seconds (DMS) Converter
Convert decimal degrees to degrees, minutes, and seconds (DMS) format. Used in navigation and surveying.
GCD Calculator
Calculate the greatest common divisor (GCD) of two numbers using the Euclidean algorithm.
LCM Calculator
Calculate the least common multiple (LCM) of two numbers.
Prime Factorization Calculator
Analyze a number for prime properties. Shows the smallest prime factor, number of factors, and divisibility checks.
Modular Arithmetic Calculator
Calculate modular arithmetic operations: a mod m, modular addition, and modular multiplication.
Fibonacci Calculator
Calculate values related to the Fibonacci sequence using Binet's formula approximation.
Factorial Calculator
Calculate the factorial of a number (n!). Also shows permutations and combinations with a second input.
Binary Arithmetic Calculator
Perform arithmetic with two decimal numbers and see the results. Also shows bitwise AND and OR operations.
Hexadecimal Arithmetic Calculator
Perform arithmetic on two numbers and see the results as decimal values. Enter values as decimal equivalents of hex digits.
Arithmetic Sequence Calculator
Find the nth term, sum, and properties of an arithmetic sequence given the first term, common difference, and number of terms.
Geometric Sequence Calculator
Find the nth term, sum, and properties of a geometric sequence given the first term, common ratio, and number of terms.
Arithmetic Series Sum Calculator
Calculate the sum of an arithmetic series from 1 to n, or a custom range with a given step.
Geometric Series Sum Calculator
Calculate the finite and infinite sum of a geometric series.
Pascal's Triangle Row Calculator
Calculate specific entries from Pascal's triangle. Find C(n, k) - the binomial coefficient - for any row n and position k.
Binomial Expansion Calculator
Calculate individual terms of the binomial expansion (a + b)^n. Shows the coefficient, power of a, and power of b for a specific term.
Derivative (Power Rule) Calculator
Calculate the derivative of a term ax^n using the power rule. Shows the resulting coefficient and exponent.
Integral (Power Rule) Calculator
Calculate the integral of a term ax^n using the power rule. Shows the antiderivative and definite integral.
Limit Calculator
Evaluate the limit of a polynomial expression ax² + bx + c as x approaches a given value. Shows direct substitution.
Slope of Tangent Line Calculator
Find the slope and equation of the tangent line to y = ax^n at a given point using the derivative.
Area Under Curve Calculator
Calculate the area under y = ax^n between two x-values using the definite integral.
Riemann Sum Calculator
Approximate the integral of x^n over an interval using a left Riemann sum with n rectangles.
Matrix Determinant Calculator (2×2)
Calculate the determinant of a 2×2 matrix. Also shows whether the matrix is invertible.
Matrix Inverse Calculator (2×2)
Calculate the inverse of a 2×2 matrix, if it exists.
Matrix Scalar Multiplication Calculator
Multiply a 2×2 matrix by a scalar value. See the resulting matrix.
Dot Product Calculator
Calculate the dot product of two 3D vectors. Also shows the angle between them and scalar projection.
Cross Product Calculator
Calculate the cross product of two 3D vectors. Shows the resulting vector and its magnitude.
Vector Magnitude Calculator
Calculate the magnitude (length) and unit vector of a 2D or 3D vector.
Percentage Change Calculator (Advanced)
Calculate percentage change, percentage difference, and percentage error between two values.
Ratio Simplifier
Simplify a ratio to its lowest terms using the greatest common divisor.
Proportion Solver
Solve a proportion: if a/b = c/x, find x. Cross-multiplication solver.
Golden Ratio Calculator
Calculate golden ratio proportions. Given one length, find the other that creates the golden ratio (1.618...).
Compound Growth Calculator
Calculate compound growth over time. Model population growth, investment returns, or any exponential increase.
Exponential Decay Calculator
Calculate exponential decay over time. Model radioactive decay, depreciation, or cooling.
Logistic Growth Calculator
Model logistic (S-curve) growth with a carrying capacity. Used for population modeling.
Half-Life Calculator
Calculate remaining quantity after radioactive decay using the half-life formula.
Weighted Average Calculator
Calculate the weighted average of up to four values with custom weights.
Standard Deviation Calculator (3 values)
Calculate the mean, variance, and standard deviation of three numbers.
Midpoint & Distance Calculator (2D)
Find the midpoint between two points in 2D. Also calculates the distance between the points.
Number Base Converter
See how a decimal number is represented in different bases. Shows remainders for base-2, base-8, and base-16 analysis.
Summation Calculator
Calculate the sum of i^k from i=1 to n. Supports sum of integers, squares, and cubes.
Distance Formula Calculator (3D)
Calculate the distance between two points in 3D space. Also works for 2D by setting z = 0.