Math Calculators

Calculate volume and surface area for 3D shapes including sphere, cube, rectangular prism, cylinder, cone, and regular tetrahedron.

Perform exact arithmetic on integers of any size with no floating-point rounding. Supports addition, subtraction, multiplication, division, modulo, power, GCD, LCM, and factorial up to 10 000!.

Calculate the probability that at least two people in a group share a birthday. See why just 23 people gives a 50% chance and visualize the probability curve.

Perform bitwise AND, OR, XOR, NOT, left shift, and right shift operations with 32-bit visualization. Input decimal, hex (0x), or binary (0b) values.

Calculate circle area, circumference, diameter, arc length, sector area, chord length, and segment area. Enter any one property and get all others instantly.

Visualize the Collatz sequence for any positive integer. See the hailstone trajectory, step count, and peak value. Explore the famous 3n+1 conjecture.

Perform arithmetic on complex numbers: add, subtract, multiply, divide, raise to a power, square root, modulus, conjugate, inverse, exp, and ln. Step-by-step shown.

Calculate confidence intervals at 90%, 95%, or 99% using z or t distributions.

Convert any decimal or fraction to its continued fraction representation [a₀; a₁, a₂, …]. Shows all convergents, which are the best rational approximations to any real number.

Simulate Conway's Game of Life in your browser. Start from a random seed, draw your own pattern, or load a classic preset like the glider. Watch evolution unfold.

Convert any decimal to a simplified fraction. Supports terminating decimals, repeating decimals (e.g. 0.(3) = 1/3), and mixed-number form.

Calculate the derivative of any polynomial, trigonometric, exponential, or logarithmic expression. Supports chain rule, product rule, and quotient rule with step-by-step output.

Calculate the full probability distribution for any dice roll in XdY+modifier notation. See the chance of rolling at least N, the mean, standard deviation, and a bar chart of outcomes.

Calculate the distance between two points in 2D or 3D space. Shows the substituted distance formula with step-by-step work.

Calculate ellipse area, perimeter (Ramanujan approximation), eccentricity, linear eccentricity, semi-latus rectum, and focal distance.

Generate Fibonacci numbers three ways: list the first N terms, look up the exact Nth Fibonacci number (up to F(10,000) using BigInt), or find all Fibonacci numbers within a range.

Find out what score you need on your final exam to achieve your desired course grade.

See how adding sine wave harmonics builds square, sawtooth, and triangle waves. Animate the rotating phasor vectors and watch the Fourier approximation improve with more terms.

Add, subtract, multiply, and divide fractions or mixed numbers. Shows simplified result, mixed-number form, and decimal equivalent.

Plot any mathematical function f(x) interactively in your browser. Supports trig, logarithms, exponents, and more. Pan and zoom with mouse or touch.

Calculate the greatest common divisor (GCD) and least common multiple (LCM) of up to 50 integers. Shows step-by-step Euclidean algorithm work and prime factorization.

Calculate your cumulative GPA from course grades and credit hours. Supports 4.0, 4.5 (honors), and 5.0 (AP) scales. Saves automatically.

Calculate indefinite and definite integrals instantly. Supports polynomials, sin, cos, exp, ln, and sqrt with step-by-step antiderivatives. Definite integrals evaluated numerically for complex expressions.

Compute least-squares linear regression for a set of (x, y) data points. Get the slope, intercept, R^2 coefficient of determination, Pearson correlation, and a scatter plot with the best-fit line.

Solve systems of 2 or 3 linear equations with step-by-step Gaussian elimination. Detects unique solutions, no solution (inconsistent), and infinite solutions (dependent).

Calculate log base b, natural log, log₁₀, powers, and eˣ quickly.

Generate magic squares where every row, column, and diagonal sums to the same magic constant. Supports odd orders (3, 5, 7, 9, 11) and doubly-even orders (4, 8, 12).

Explore the Mandelbrot set and Julia sets interactively in your browser. Zoom in to reveal infinite fractal detail. Switch between Mandelbrot and Julia modes.

Perform matrix operations online: addition, subtraction, multiplication, transpose, determinant, inverse, rank, and trace. Up to 10×10 matrices with step-by-step solutions.

Find the midpoint, distance, and slope between two points (x₁,y₁) and (x₂,y₂) instantly with step-by-step solutions.

Perform modular arithmetic operations: basic mod, fast modular exponentiation, modular inverse (extended Euclidean), Bézout coefficients, and Chinese Remainder Theorem.

Explore number theory concepts: perfect numbers, abundant numbers, amicable pairs, prime factorization, and divisors - all calculated instantly in your browser.

Convert any number to its English word form: cardinal (one thousand), ordinal (one thousandth), or check-writing format. Supports numbers up to 10^21 with decimals.

Solve V=IR and P=VI for any two unknowns. Enter any two of voltage, current, resistance, or power to compute the other two.

Generate Pascal's Triangle up to 25 rows. Highlights diagonals (natural numbers, triangular numbers, Fibonacci), shows binomial coefficients, and lets you download the table.

Calculate percentages four ways: find a percentage of a number, find what percent X is of Y, find the base value, or calculate percent change.

Calculate permutations P(n,r) and combinations C(n,r) with step-by-step factorial work. Uses BigInt for large values.

Look up the exact probability of every 5-card poker hand (Royal Flush through High Card) from a standard 52-card deck. Also classify any 5-card hand you enter.

Calculate properties of any regular polygon: area, perimeter, interior and exterior angles, number of diagonals, inradius, and circumradius.

Solve polynomial equations of degree 2, 3, or 4 instantly. Enter coefficients to find all real and complex roots using exact algebraic formulas (quadratic, Cardano, Ferrari).

Three prime number tools in one: test if a number is prime, find its prime factorization, and generate all primes up to 10 million with the Sieve of Eratosthenes.

Calculate basic probability: single events, complements, P(A or B), and P(A and B). Results shown as fraction, decimal, and percentage.

Calculate PDF, PMF, and CDF values for the Normal, Binomial, and Poisson probability distributions. Visualize the distribution curve instantly in your browser.

Use the Pythagorean theorem (a² + b² = c²) to find the hypotenuse or a missing leg, or check whether three numbers form a Pythagorean triple.

Solve ax² + bx + c = 0. Shows real or complex roots, discriminant, vertex, and step-by-step solution.

Simplify ratios and solve proportions (A:B = C:?) for the missing value.

Calculate any unknown side or angle of a right triangle. Enter any two values and get the complete solution using the Pythagorean theorem and trigonometry.

Convert between Arabic numbers and Roman numerals instantly. Supports 1 to 3,999,999. Runs entirely in your browser.

Free online scientific calculator with trig functions, logarithms, exponents, factorials, and constants π and e. Degrees and radians. History panel.

Convert any number between standard decimal, scientific notation (a × 10^b), engineering notation, and E-notation. Set significant figures and copy any form instantly.

Paste a number sequence and instantly identify its pattern: arithmetic, geometric, Fibonacci, squares, cubes, triangular, primes, and more. Predicts the next 5 terms with the formula.

Count the significant figures in a number and round any value to N significant figures.

Calculate the slope, y-intercept, line equation, distance, and angle between two points. Shows slope-intercept form y = mx + b instantly.

Generate beautiful spirograph (hypotrochoid) and Lissajous curves in your browser. Adjust inner/outer circle radii, pen distance, and frequency ratios to create endless geometric patterns.

Calculate mean, median, mode, standard deviation, variance, quartiles, and IQR from any list of numbers.

Watch the Tower of Hanoi puzzle solve itself step by step with animated discs. Choose up to 8 discs, auto-play or step manually, and learn the recursive algorithm.

Solve any triangle by entering three known values. Supports SSS, SAS, ASA, AAS, and the ambiguous SSA case. Shows all sides, angles, area, and perimeter.

Calculate sin, cos, tan, inverse trig, and hyperbolic functions in degrees or radians.

Generate truth tables for any Boolean expression using AND, OR, NOT, XOR, NAND, NOR, and XNOR operators.

Interactive unit circle reference showing sin, cos, and tan values for all 17 standard angles.

Perform 2D and 3D vector operations: addition, subtraction, dot product, cross product, magnitude, normalization, and angle between vectors. Step-by-step solutions shown.

Create interactive Venn diagrams for 2 or 3 sets. Enter items, see union, intersection, difference, and symmetric difference calculated instantly with a visual SVG diagram.

Calculate the z-score and percentile for any value given a mean and standard deviation.