Math calculators (22)

Percentages, algebra, number theory, sequences, fractions, exponents, logarithms and rounding.

Markdown version: /math.md · JSON: /api/v1/calculators?category=math

• Percentage Calculator — Solves the three basic percentage questions (a percentage of a number, what percentage one number is of another, and the whole behind a known part and percentage). Always returns the part, the whole and the percent. (md · api)
• Percentage Change Calculator — Computes the relative change from an old value to a new value as a percentage, the signed absolute change, the new/old ratio and the symmetric percent difference. (md · api)
• Quadratic Equation Solver — Solves ax² + bx + c = 0 with the quadratic formula, reporting the discriminant, both roots (real, or complex conjugates written as strings), the vertex of the parabola and the sum and product of the roots. (md · api)
• GCD and LCM Calculator — Computes the greatest common divisor (highest common factor) and least common multiple of two or more integers with the Euclidean algorithm. (md · api)
• Prime Factorization Calculator — Decomposes an integer into its prime factors by trial division, tests primality, and derives the number and sum of its divisors from the exponents. (md · api)
• Factorial Calculator — Computes n! = 1 × 2 × … × n for integers from 0 to 170, together with the number of decimal digits, the number of trailing zeros and a scientific-notation form. (md · api)
• Combinations and Permutations Calculator — Counts the ways to choose k items from n: combinations C(n, k) when order does not matter and permutations P(n, k) when it does, with or without repetition. (md · api)
• Exponent Calculator — Raises a base to any real exponent (base^exponent), including negative and fractional exponents, and reports the reciprocal and a scientific-notation form. (md · api)
• Nth Root Calculator — Computes the principal n-th root of a number (value^(1/n)), returning the real negative root for odd n and the second, negative root for even n. (md · api)
• Logarithm Calculator — Computes the logarithm of a positive number to any base using the change-of-base formula, and always reports the natural, common (base 10) and binary (base 2) logarithms. (md · api)
• Fraction Simplifier — Reduces a fraction to lowest terms by dividing by the GCD and converts it to a mixed number, a decimal and a percentage. (md · api)
• Ratio Calculator — Simplifies a ratio a:b to lowest terms (decimals are scaled to integers first), expresses it as a decimal, as n:1 and as percentage shares, and optionally scales it to a new value of a. (md · api)
• Proportion Calculator — Solves the proportion a / b = c / x for the unknown fourth term by cross-multiplication (x = b × c / a) and reports the common scale factor. (md · api)
• Slope Calculator — Computes the slope of the line through two points (rise over run), its y- and x-intercepts, the slope-intercept equation y = mx + b, the angle of inclination and the distance between the points. (md · api)
• Distance Between Two Points Calculator — Computes the straight-line (Euclidean) distance between two points in the plane, their midpoint, the coordinate differences and the Manhattan distance. (md · api)
• Pythagorean Theorem Calculator — Finds the missing side of a right triangle from any two of the legs a, b and hypotenuse c using a² + b² = c², and reports the area, perimeter and acute angles. (md · api)
• Rounding Calculator — Rounds a number to a given number of decimal places (negative for tens, hundreds, …) or significant figures using round-half-away-from-zero, and also reports the ceiling, floor and truncated values at the same precision. (md · api)
• Arithmetic Sequence Calculator — Computes the n-th term and the sum of the first n terms of an arithmetic progression from the first term and the common difference, and lists the first terms. (md · api)
• Geometric Sequence Calculator — Computes the n-th term and the sum of the first n terms of a geometric progression from the first term and common ratio, plus the sum to infinity when |r| < 1. (md · api)
• Modulo Calculator — Divides one number by another and reports the remainder under the three common sign conventions (truncated as in C/JavaScript, floored as in Python, and the non-negative Euclidean modulo) together with the integer quotient. (md · api)
• Number Base Converter — Converts an integer written in one base (2–36) to another, using exact arbitrary-precision arithmetic, and always shows the binary, octal, decimal and hexadecimal forms. (md · api)
• Scientific Notation Converter — Writes a number in normalised scientific notation m × 10^e with 1 ≤ |m| < 10, in E-notation, and in engineering notation (exponent a multiple of 3). (md · api)