수학 계산기

여러 함수, 극좌표 곡선, 매개변수 곡선을 그리고 이동 및 확대·축소할 수 있습니다. 근, 교점, 극값 지점, 넓이를 구합니다.

도, 라디안, 그라디안 단위의 삼각함수와 로그, 거듭제곱, 팩토리얼, 메모리, 계산 기록을 제공하는 키패드 계산기입니다. 가능한 경우 정확한 분수를 사용합니다.

분수와 대분수를 정확하게 더하고 빼고 곱하고 나누며, 기약분수로 약분합니다. 순환소수를 포함한 소수를 분수로 변환합니다.

Y의 X%, 한 수가 다른 수에서 차지하는 백분율, 백분율 증가 또는 감소, 백분율 차이, 그리고 일정 비율을 더하기 전의 원래 값을 구합니다.

Long division calculator that shows every step: quotient and remainder, the decimal quotient with its repeating block marked, and the fraction.

Average calculator for a list of numbers: mean, median, mode, range, count and sum, with the sorted data and the middle values highlighted.

Simplify a ratio, solve a proportion a : b = c : x for the missing term, scale a ratio to a target, or split an amount in a given ratio, exactly.

Convert numbers to Roman numerals and Roman numerals to numbers, from 1 to 3,999 (3,999,999 with overlines), with the standard form of any numeral.

소수 자릿수, 유효 숫자 또는 가장 가까운 10이나 100의 배수로 수를 반올림합니다. 중간값을 짝수로 반올림하기, 음의 무한대 방향 또는 양의 무한대 방향으로 반올림하기 등 아홉 가지 규칙을 제공합니다.

Scientific notation calculator: convert between decimal, scientific, E and engineering notation, and add, subtract, multiply or divide with sig-fig rules.

Square root calculator: the root to up to 1,000 decimal places, simplest radical form (√72 = 6√2), a perfect-square check and cube or nth roots.

Weighted average calculator: enter values with weights, one pair per line, for the weighted mean, sum of weights and each value's contribution.

근의 공식으로 ax² + bx + c = 0을 풉니다. 무리근 또는 복소수 형태의 정확한 근, 판별식, 꼭짓점, 대칭축, 그래프를 제공합니다.

Add, subtract, multiply and divide complex numbers, raise them to powers, find nth roots, and convert a + bi to polar form, with an Argand diagram.

Raise a number to any exponent, including fractional and negative ones, or take its square, cube or nth root, with exact simplified radicals such as 5√2.

The logarithm of a number to any base, including ln and log₁₀, with change-of-base steps, or the exponent x that solves bˣ = y, exact when rational.

All real and complex roots of a polynomial up to degree 6, such as a cubic or quartic equation, with repeated roots found exactly and 30-digit accuracy.

최대 6 × 6 행렬의 행렬식, 역행렬, 계수, 기약 행 사다리꼴을 모든 행 연산과 함께 표시합니다. 전치, 곱, 합도 정확한 분수로 계산합니다.

Solve 2 to 5 simultaneous linear equations exactly by Gauss–Jordan elimination, with every row operation shown, and detect no-solution or infinite cases.

Dot and cross products of two vectors in 2D or 3D, their magnitudes, the angle between them and the projection of one onto the other, with a drawing.

Factor calculator: every factor and factor pair of a whole number up to 10¹⁸, its prime factorization, divisor count and sum, and perfect or abundant.

Greatest common divisor (GCD, GCF or HCF) and least common multiple (LCM) of two or more whole numbers, with Euclid's algorithm step by step.

Calculate a mod n under the floored, truncated and Euclidean conventions, modular powers a^b mod m of large numbers, and modular inverses, with steps.

Prime factorization of any whole number up to 60 digits, with a factor tree, a prime or composite verdict, its divisors and the nearest primes.

The nth term and the sum of the first n terms of an arithmetic or geometric sequence, the sum to infinity, and exact Fibonacci numbers, with a table.

The definite integral of any function f(x) between two limits, by adaptive Gauss–Kronrod quadrature to about 20 significant digits, with the area shaded.

The first or second derivative of any function f(x) at a point, to about 20 significant digits by Richardson extrapolation, with the tangent line drawn.

Union, intersection, differences and symmetric difference of two sets of numbers or words, with the Jaccard index and a Venn diagram.

Truth table of a Boolean expression in up to 6 variables, with the canonical sum of products, product of sums, minterms and maxterms.