Kalkulator matematika
Hitung pecahan, persentase, persamaan, matriks, logaritma, turunan, dan integral dengan rumus, langkah penyelesaian, serta pecahan tepat jika memungkinkan.
29 kalkulator · 205 contoh terverifikasi
Kalkulator
- Kalkulator grafik
Plot beberapa fungsi, kurva polar dan parametrik; geser dan perbesar; cari akar, titik potong, titik ekstrem, dan luas.
- Kalkulator ilmiah
Kalkulator bertombol dengan trigonometri dalam derajat, radian atau gradian, logaritma, pangkat, faktorial, memori, dan riwayat; pecahan eksak bila memungkinkan.
Aritmetika
- Kalkulator pecahan
Jumlahkan, kurangkan, kalikan, dan bagikan pecahan serta bilangan campuran secara tepat, sederhanakan ke bentuk paling sederhana, dan ubah desimal termasuk desimal berulang menjadi pecahan.
- Kalkulator persentase
Hitung X% dari Y, persentase suatu bilangan terhadap bilangan lain, kenaikan atau penurunan persentase, selisih persentase, dan nilai awal sebelum persentase ditambahkan.
- Kalkulator pembagian bersusun dengan sisa dan desimal
Long division calculator that shows every step: quotient and remainder, the decimal quotient with its repeating block marked, and the fraction.
- Kalkulator mean, median, dan modus (rata-rata)
Average calculator for a list of numbers: mean, median, mode, range, count and sum, with the sorted data and the middle values highlighted.
- Kalkulator rasio dan proporsi
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.
- Konverter angka Romawi
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.
- Kalkulator pembulatan dan angka penting
Bulatkan bilangan ke tempat desimal, angka penting, atau puluhan maupun ratusan terdekat dengan sembilan aturan, termasuk pembulatan ke bilangan genap saat tepat di tengah, ke bawah, dan ke atas.
- Kalkulator notasi ilmiah dan konverter bentuk baku
Scientific notation calculator: convert between decimal, scientific, E and engineering notation, and add, subtract, multiply or divide with sig-fig rules.
- Kalkulator akar kuadrat dan penyederhana bentuk akar
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.
- Kalkulator rata-rata tertimbang
Weighted average calculator: enter values with weights, one pair per line, for the weighted mean, sum of weights and each value's contribution.
Aljabar
- Penyelesai persamaan kuadrat
Selesaikan ax² + bx + c = 0 dengan rumus kuadrat: akar eksak dalam bentuk akar atau bilangan kompleks, diskriminan, titik puncak, sumbu simetri, dan grafik.
- Kalkulator bilangan kompleks
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.
- Kalkulator pangkat dan akar
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.
- Kalkulator logaritma
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.
- Pencari akar polinomial
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.
Aljabar linear
- Kalkulator matriks
Determinan, invers, rank, dan bentuk eselon baris tereduksi matriks hingga 6 × 6 dengan setiap operasi baris ditampilkan, serta transpos, perkalian, dan penjumlahan dalam pecahan eksak.
- Penyelesai sistem persamaan linear
Solve 2 to 5 simultaneous linear equations exactly by Gauss–Jordan elimination, with every row operation shown, and detect no-solution or infinite cases.
- Kalkulator vektor
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.
Teori bilangan
- Kalkulator faktor: semua faktor suatu bilangan
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.
- Kalkulator FPB dan KPK
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.
- Kalkulator modulo
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.
- Kalkulator faktorisasi prima
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.
Barisan
Kalkulus
- Kalkulator integral tentu
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.
- Kalkulator turunan numerik
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.
Logika dan himpunan
- Kalkulator operasi himpunan
Union, intersection, differences and symmetric difference of two sets of numbers or words, with the Jaccard index and a Venn diagram.
- Pembuat tabel kebenaran
Truth table of a Boolean expression in up to 6 variables, with the canonical sum of products, product of sums, minterms and maxterms.
Memilih kalkulator: Matematika
Start with the operation
Use the percentage calculator when the question asks for a share, an increase or a difference; these use different denominators. Choose fractions when the exact numerator and denominator matter, such as scaling a ratio. The scientific calculator is useful for a mixed expression, while equation solvers accept coefficients and show roots. Parentheses determine which operation happens first, so enter the written expression before interpreting its rounded display.
Check the domain and precision
A numerical answer and an exact symbolic answer are different outputs. Use a worked example to check whether a tool accepts negative inputs, complex values or only real numbers. Trigonometric functions need the correct degree or radian setting. Near a discontinuity, graph sampling can hide a feature; use the formula and interval as well as the picture. Keep extra precision through intermediate steps and round the final answer for the task.