Math calculators
140 calculators
Math can be easier than it looks when the formula sits next to the form. This hub groups percentages, algebra, arithmetic, coordinate geometry, fractions, matrices, trigonometry, sequences, exponents, and binary tools so you can jump to a calculator instead of scanning the whole catalog.
Each linked tool keeps its own URL under /c/ and shows the working in How it works. Start with percentage, the scientific calculator, or a specific algebra or number-theory page. Every math calculator is free to open with no sign-up.
Percentages calculators
Compare parts to wholes, track change, and convert between percents, rates, and goals.
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Average Percentage Calculator
Weighted average of percentages when each has its own sample size.
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Doubling Time Calculator
Time for a quantity to double at a constant percent growth rate.
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Percent Given Value Calculator
Find what percent one number is of another.
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Percent to Goal Calculator
How much of a numeric goal you have already reached.
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Percentage Calculator
Find a percent of a number, reverse percentages, and percent change.
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Percentage Error Calculator
Relative error between experimental and theoretical values as a percent.
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Percentage Point Calculator
Difference between two percentages in percentage points.
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Percentage of a Percentage Calculator
Find P% of Q% as a combined percent of the original whole.
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Slope Percentage Calculator
Convert a rise-over-run slope to a percent grade and to degrees.
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Time Percentage Calculator
What percent one duration is of another (same unit).
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Value Given Percent Calculator
Find P% of a whole number.
Algebra calculators
Solve equations, factor polynomials, and work with complexes, sets, and systems.
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Absolute Value Equation Calculator
Solve |ax + b| = c for real x.
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Absolute Value Inequality Calculator
Solve |ax + b| ≤ c or |ax + b| ≥ c and report the interval.
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Adding and Subtracting Polynomials Calculator
Add or subtract two cubics term by term.
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Completing the Square Calculator
Rewrite ax² + bx + c in vertex form and list the roots.
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Complex Conjugate Calculator
Conjugate, modulus, and argument of a + bi.
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Complex Number Calculator
Add, subtract, multiply, or divide two complex numbers a+bi and c+di.
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Cubic Equation Calculator
Real roots of ax³ + bx² + cx + d = 0.
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Descartes' Rule of Signs Calculator
Possible positive and negative real-root counts for a cubic.
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Diamond Problem Calculator
Find two numbers from their sum and product (factor a quadratic).
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Direct Variation Calculator
Find k or a missing value in y = kx.
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Discriminant Calculator
Discriminant of a quadratic ax² + bx + c.
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FOIL Calculator
Multiply two binomials (ax+b)(cx+d).
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Factoring Trinomials Calculator
Factor ax² + bx + c over the integers when possible.
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Inequality to Interval Notation Calculator
Convert a between-bounds inequality into interval notation.
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Inverse Variation Calculator
Find k or a missing value in xy = k.
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Linear Equation Calculator
Solve a x + b = c for x.
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Partial Fraction Decomposition Calculator
Decompose (px + q) / ((x − r)(x − s)) into A/(x−r) + B/(x−s).
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Permutation and Combination Calculator
Compute P(n, r), C(n, r), and n! for non-negative integers.
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Polynomial Division Calculator
Divide a cubic by a linear binomial and report quotient plus remainder.
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Power Set Calculator
Count (and list, for n ≤ 8) subsets of a set with n labeled elements.
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Quadratic Equation Calculator
Solve ax² + bx + c = 0 for real roots.
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Rational Zeros Calculator
List possible rational roots of a cubic with integer coefficients (p/q theorem).
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System of Equations Calculator
Solve two linear equations a1 x + b1 y = c1 and a2 x + b2 y = c2.
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Union and Intersection Calculator
Union, intersection, and difference of two comma-separated number sets.
Arithmetic calculators
Everyday number operations: roots, factors, means, rounding cousins, and notation.
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Absolute Change Calculator
Numeric difference new − original (not a percent).
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Absolute Value Calculator
Absolute value of a real number.
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Ceiling Function Calculator
Least integer greater than or equal to x.
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Chinese Remainder Theorem Calculator
Solve x ≡ a (mod m) and x ≡ b (mod n) when m and n are coprime.
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Consecutive Integers Calculator
n consecutive integers that sum to S, centered on the mean.
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Digital Root Calculator
Iterated digit sum of a non-negative integer.
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Divisibility Test Calculator
Check whether n is divisible by d and show the remainder.
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Egyptian Fractions Calculator
Greedy Egyptian-fraction expansion of a proper fraction a/b.
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Expanded Form Calculator
Expand a non-negative integer by place value.
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Floor Division Calculator
Integer quotient ⌊a/b⌋ and remainder.
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Floor Function Calculator
Greatest integer less than or equal to x.
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GCD and LCM Calculator
Greatest common divisor and least common multiple of two integers.
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Geometric Mean Calculator
Geometric mean of a comma-separated list of positive numbers.
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Harmonic Mean Calculator
Harmonic mean of a comma-separated list of nonzero numbers.
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Nth Root Calculator
Principal nth root of a positive number (square, cube, or general).
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Number Factor Calculator
List positive factors of a positive integer.
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Perfect Cube Calculator
Test whether n is a perfect cube and show ∛n.
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Perfect Square Calculator
Test whether n is a perfect square and show √n.
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Place Value Calculator
Name the place of a digit in a non-negative integer (from the right, 0 = ones).
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Powers of i Calculator
i^n for an integer exponent, reduced modulo 4.
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Prime Factors Calculator
Factor an integer into primes.
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Reciprocal Calculator
Multiplicative inverse 1/x of a nonzero number.
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Relatively Prime Calculator
Test whether two integers are coprime (gcd = 1).
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Remainder Calculator
Divide two numbers and show remainder (modulo) and quotient.
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Root Mean Square Calculator
RMS (quadratic mean) of a comma-separated list.
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Rounding Calculator
Round a number to a chosen number of decimal places.
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Scientific Notation Calculator
Write a nonzero number as m × 10^e with 1 ≤ |m| < 10.
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Significant Figures Calculator
Round a number to a given count of significant figures.
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Simplifying Radicals Calculator
Write √n as a√b with b square-free (n a positive integer).
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Triangular Number Calculator
nth triangular number, or the inverse index of a triangular value.
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Weighted Average Calculator
Weighted mean of values with matching weights.
Coordinate geometry calculators
Points, lines, slopes, and vectors on the plane (and a few in space).
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3D Distance Calculator
Euclidean distance between two points in space.
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Average Rate of Change Calculator
Slope of the secant between (x1, y1) and (x2, y2).
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Cross Product Calculator
Cross product of two 3D vectors.
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Dot Product Calculator
Dot product of two 3D vectors and the angle between them.
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Function Grapher
Plot y = f(x) over a chosen domain, with an optional second curve.
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Irregular Polygon Area Calculator
Shoelace area of a simple polygon from comma-separated x and y lists.
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Line Equation from Two Points Calculator
Slope-intercept equation of the line through two points.
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Linear Interpolation Calculator
y on the line through (x1, y1) and (x2, y2) at a chosen x.
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Manhattan Distance Calculator
Taxicab distance |Δx| + |Δy| in the plane.
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Midpoint Calculator
Midpoint of the segment joining two plane points.
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Parabola Vertex Calculator
Vertex of y = ax² + bx + c.
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Point Slope Form Calculator
Point-slope and slope-intercept forms from a point and a slope.
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Polar Coordinates Calculator
Convert Cartesian (x, y) to polar (r, θ) in radians.
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Slope Calculator
Slope of the line through two points.
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Slope Intercept Form Calculator
y-intercept from slope and a point, or y at a chosen x.
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Unit Vector Calculator
Unit vector in the direction of a 3D vector.
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Vector Addition Calculator
Sum of two 3D vectors.
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Vector Magnitude Calculator
Euclidean length of a 3D vector.
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Y Intercept Calculator
y-intercept of the line through two points.
Fractions calculators
Compare, raise to powers, order, and turn ratios into unit rates.
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Comparing Fractions Calculator
Compare a/b and c/d.
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Fraction Calculator
Simplify fractions or add, subtract, multiply, and divide them.
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Fraction Exponent Calculator
Raise a fraction a/b to an integer power n.
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Least To Greatest Fraction Calculator
Sort comma-separated fractions written as a/b from least to greatest.
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Proportion Calculator
Solve a/b = c/x for x.
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Unit Rate Calculator
Amount per 1 of the second quantity (a per b).
Linear algebra calculators
Determinants, inverses, eigenvalues, and small-matrix arithmetic.
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Cramer's Rule Calculator
2×2 Cramer solution of a1 x + b1 y = c1, a2 x + b2 y = c2.
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Eigenvalue Calculator (2×2)
Eigenvalues of a 2×2 real matrix.
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Matrix 2×2 Calculator
Determinant and inverse of a 2×2 matrix.
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Matrix 3×3 Calculator
Determinant of a 3×3 matrix (row-major a11…a33).
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Matrix Multiplication Calculator
Product of two 2×2 matrices.
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Matrix Trace Calculator
Trace of a 2×2 matrix (sum of diagonal entries).
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Matrix Transpose Calculator
Transpose of a 2×2 matrix.
Trigonometry calculators
Triangle laws, identities, the unit circle, and right-triangle solvers.
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Cofunction Calculator
Complement cofunctions: sin(90°−θ)=cos θ (θ in degrees).
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Double Angle Formula Calculator
sin 2θ, cos 2θ, and tan 2θ from an angle in degrees.
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Half-Angle Calculator
sin(θ/2) and cos(θ/2) from θ in degrees (principal square roots with sign of the half-angle in (−90°, 90°)).
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Law of Cosines Calculator
Third side from two sides and the included angle (SAS).
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Law of Sines Calculator
Find a side from two angles and one side (AAS/ASA): a / sin A = b / sin B.
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Phase Shift Calculator
Amplitude, period, phase shift, and vertical shift of y = A sin(Bx − C) + D.
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Right Triangle Calculator
Hypotenuse, area, and acute angles from legs a and b.
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Sum and Difference Identities Calculator
sin(α±β) and cos(α±β) from two angles in degrees.
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Unit Circle Calculator
Cosine, sine, and tangent of an angle on the unit circle (degrees).
Sequences calculators
Arithmetic and geometric sequences, Fibonacci, series sums, and related patterns.
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Arithmetic Sequence Calculator
nth term and sum of the first n terms of an arithmetic sequence.
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Collatz Conjecture Calculator
Collatz (3n+1) stopping time and peak from a positive integer.
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Fibonacci Calculator
nth Fibonacci number with F(0)=0, F(1)=1 (n from 0 to 70).
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Geometric Sequence Calculator
nth term and sum of the first n terms of a geometric sequence.
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Harmonic Number Calculator
nth harmonic number H_n = 1 + 1/2 + … + 1/n.
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Pascal's Triangle Calculator
Row n of Pascal’s triangle (0-based), as binomial coefficients C(n, k).
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Sum of Series Calculator
Sum of an arithmetic or geometric series (mode 0 arithmetic, 1 geometric).
Exponents and logarithms calculators
Powers, exponential growth, e^x, and log-adjacent identities.
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Exponent Calculator
Raise a base to a power: base^exponent.
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Exponential Function Calculator
Evaluate y = a · b^x.
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Exponential Growth Calculator
Final amount A = P (1 + r)^t at percent rate r per period.
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Log Base 2 Calculator
Compute the base-2 logarithm of a positive number.
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Log Calculator
Compute a logarithm for a chosen base (default base 10).
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Multiply Radicals Calculator
Product of √a and √b as √(ab), then simplified.
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Negative Log Calculator
−log10(x) for x > 0 (pH-style).
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e^x Calculator
Natural exponential e^x.
Binary calculators
Base-2 arithmetic, bitwise logic, shifts, and complement encodings.
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Binary Addition Calculator
Add two unsigned binary integers (text, 0/1 bits).
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Binary Calculator
Convert an integer to binary (and hex) representation.
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Binary Fraction Converter
Approximate a decimal in [0, 1) as a binary fraction with f fractional bits.
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Binary Subtraction Calculator
Subtract two unsigned binary integers (a − b, a ≥ b).
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Bit Shift Calculator
Logical left or right shift of a non-negative integer (mode 0 = left, 1 = right).
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Bitwise AND Calculator
Bitwise AND of two non-negative integers, shown in binary and decimal.
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Bitwise OR Calculator
Bitwise OR of two non-negative integers.
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Bitwise XOR Calculator
Bitwise XOR of two non-negative integers.
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Hex Calculator
Convert an integer to hexadecimal (and binary).
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One's Complement Calculator
Ones’ complement bit flip of a non-negative integer in a fixed width.
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Two's Complement Calculator
Encode a signed decimal integer or decode a binary, hexadecimal, or octal two's-complement bit pattern.
Other calculators
Number theory demos and extra math tools that do not sit in a larger family.
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Euler Totient Calculator
Compute Euler's totient φ(n) for bounded educational integers—the count of integers up to n that are coprime to n.
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Extended GCD / Modular Inverse
Compute the extended GCD, Bézout coefficients, and modular inverse when it exists. Educational BigInt calculator.
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Luhn Algorithm Calculator
Check a digit string with the Luhn checksum (credit-card style).
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Modular Exponentiation Calculator
Compute base^exponent mod modulus with BigInt square-and-multiply. Useful for understanding RSA-style operations (educational).
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Queueing Theory Calculator (M/M/1)
M/M/1 mean wait and utilization from arrival rate λ and service rate μ.
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Scientific Calculator
Keyboard-first scientific calculator with DEG/RAD trig, 2nd functions, memory, history, and display modes.
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Toy RSA Demonstrator
Walk through tiny RSA with user-provided small primes: n, φ(n), e, d, and encrypt/decrypt steps. Educational only—not production keys.