Arithmetic calculators
75 calculators Absolute Value Calculator Find |x|, solve absolute value equations like |ax+b|=c, solve inequalities, and find the distance between two points. Full step-by-step work shown.
Open Average Calculator: Mean, Median, Mode, Std Dev Calculate arithmetic mean, geometric mean, harmonic mean, median, mode, range, and standard deviation for any list of numbers in one step.
Open Cube Root Calculator Find the cube root of any real number, compute any nth root, or reverse-solve to find a number from its root. Includes steps, chart, and a perfect-cube table.
Open Factor Calculator Find every factor, factor pair, prime factorization, and factor sum for any positive integer. Detects prime, perfect square, and perfect cube numbers instantly.
Open Factorial Calculator Calculate standard, double, subfactorial, multifactorial, and primorial. Get exact value, scientific notation, digit count, and trailing zeros instantly.
Open Geometric Mean Calculator Calculate the geometric mean of any positive numbers or growth rates. Compare arithmetic and harmonic means, reverse-solve for CAGR, and see a compounding schedule.
Open Harmonic Mean Calculator Calculate harmonic mean with optional weights. Compare it instantly against arithmetic and geometric means. Shows every step, use cases for speed, P/E ratios, and more.
Open Long Division Calculator Divide any two numbers (including decimals and negatives) to get the quotient, remainder, simplified fraction, mixed number, and decimal result with step-by-step work.
Open Mean Calculator Calculate the arithmetic, geometric, harmonic, or weighted mean of any data set. Also get median, mode, range, variance, and standard deviation instantly.
Open Modulo Calculator Calculate a mod n with full modular arithmetic: remainder, quotient, power mod, modular addition, subtraction, multiplication, and a congruence check.
Open Multiplication Calculator Multiply up to 10 numbers at once, see long-multiplication steps digit by digit, or solve for a missing factor. Covers decimals, negatives, and sign rules.
Open Perfect Square Calculator Check whether any number is a perfect square, find its root, reverse-calculate n squared from a root, or list every perfect square inside a range. Step-by-step shown.
Open Prime Factorization Calculator Find the prime factorization, all divisors, divisor count, sum of divisors, and Euler totient of any integer. Factor trees, exponent form, and CSV output included.
Open Prime Number Calculator Check if any whole number is prime, get its full prime factorization, all divisors, and the nearest prime numbers above and below it.
Open Reciprocal Calculator Find the reciprocal of any decimal, fraction, or mixed number. Get 1/x as a decimal, simplified fraction, and scientific notation with full step-by-step working.
Open Remainder Calculator Find the remainder and quotient of any division instantly. Supports truncated, floored, and Euclidean modulo conventions plus fraction and R-notation output.
Open Scientific Notation Calculator Convert numbers to/from scientific notation and do arithmetic in scientific notation. Get E-notation, engineering notation with SI prefix, and step-by-step working.
Open Square Root Calculator Find the square root, cube root, or any nth root of a number. Simplify radicals, reverse-solve, spot perfect squares, and see step-by-step working.
Open Weighted Average Calculator Calculate a weighted average for grades, GPA, or portfolios. Get the weighted mean, simple mean, per-item breakdown, and a reverse-solve for a target score.
Open Absolute Change Calculator Calculate absolute change, relative change, and percentage change between two values. See step-by-step working, a comparison visual, and plain-English interpretation.
Open Adding and Subtracting Fractions Calculator Add or subtract fractions and mixed numbers instantly. Shows every step: find the LCD, convert, combine, and simplify. Handles unlike denominators automatically.
Open Addition Calculator Add up to 6 numbers at once and see a step-by-step column-by-column breakdown. Supports decimals, negatives, and shows count, average, min, max, and range.
Open Associative Property Calculator Verify the associative property instantly for addition or multiplication. Enter three numbers, see both groupings computed step by step, and confirm they are equal.
Open Ceiling Function Calculator Calculate the ceiling (round-up) of any real number instantly. See step-by-step working, floor comparison, fractional part, and a visual number-line chart.
Open Chinese Remainder Theorem Calculator Solve any system of simultaneous modular congruences with the Chinese Remainder Theorem. Get the smallest solution, the period, and a full step-by-step proof.
Open Compatible Numbers Calculator Round any two numbers to compatible values and instantly estimate their sum, difference, product, or quotient. Shows rounding steps and percentage error.
Open Consecutive Integers Calculator Find consecutive integers whose sum or product equals a target, list any sequence, and switch between any, even, or odd consecutive integers. Step-by-step workings.
Open Cross Multiplication Calculator Solve any proportion A/B = C/D for the missing value instantly. Enter three numbers and get the fourth with full step-by-step working shown.
Open Decimal Calculator: Add, Subtract, Multiply, Divide and More Add, subtract, multiply, divide, raise to a power, take an nth root, or find the logarithm of two decimals. See step-by-step working and choose rounding precision.
Open Digit Sum Calculator Calculate the digit sum and digital root of any integer instantly. Shows step-by-step addition, divisibility by 3 and 9, Harshad number check, and worked examples.
Open Digital Root Calculator Calculate the digital root of any integer instantly. See every digit-sum step, use the closed-form formula, explore bases 2-36, and learn the math behind it.
Open Distributive Property Calculator Instantly apply the distributive property to numeric or algebraic expressions. See a(b + c) = ab + ac worked out step by step with every calculation shown.
Open Divisibility Test Calculator Check if any integer is divisible by 2 through 13 instantly. See the divisibility rule applied step by step for each divisor, with quotient and remainder.
Open Egyptian Fractions Calculator Convert any fraction into a sum of distinct unit fractions (Egyptian fractions). Choose your algorithm, see step-by-step work, and explore this 3,700-year-old notation.
Open Expanded Form Calculator Convert any number to expanded form instantly. See expanded notation, factor form, exponential form and word form side by side with a place-value breakdown.
Open Fermat's Little Theorem Calculator Apply Fermat's Little Theorem instantly: enter a and p to compute a^(p-1) mod p, verify the result is 1, find the modular inverse, and see the full step-by-step proof.
Open Floor Function Calculator Calculate the floor, ceiling, round, truncate and fractional part of any real number instantly. See the step-by-step breakdown and key properties of the floor function.
Open Fundamental Counting Principle Calculator Multiply independent events to count total outcomes instantly. Enter up to 6 event choices, see step-by-step working, and track how the product grows with each event.
Open GCF and LCM Calculator Calculate GCF and LCM for up to 6 numbers. See step-by-step prime factorization, divisors list, and the GCF x LCM relationship formula with a worked example.
Open Greater Than or Less Than Calculator Compare any two numbers instantly: integers, decimals, negatives, and fractions. See the symbol (>, <, =), the difference, the ratio, and step-by-step reasoning.
Open Integer Calculator Add, subtract, multiply, or divide any two integers instantly. See the sign rules, step-by-step working, quotient and remainder, and binary/octal/hex conversions.
Open Inverse Modulo Calculator Find the modular multiplicative and additive inverse instantly. Shows Extended Euclidean Algorithm steps, existence conditions, and a worked example.
Open LCM Calculator - Least Common Multiple Find the least common multiple of up to 6 numbers instantly. See the prime factorization, step-by-step working, GCD method, and divisibility rules.
Open Long Addition Calculator Add multiple numbers instantly and see each column worked out with carries, exactly as on paper. Whole numbers and decimals supported. Free.
Open Long Multiplication Calculator Multiply any two numbers with full step-by-step long multiplication shown. Supports integers, decimals, and negatives. See every partial product clearly.
Open Long Subtraction Calculator Subtract any two whole or decimal numbers using the column method. Shows every regrouping (borrowing) step, place-by-place, with the full worked solution.
Open Magic Square Calculator Generate magic squares from 3x3 to 9x9 instantly. Calculates the magic constant, sum of all numbers, number count, and construction method with step-by-step working.
Open Multiplicative Inverse Calculator Find the multiplicative inverse (reciprocal) of any integer, decimal, fraction, or mixed number instantly. Includes step-by-step working and a modular inverse mode.
Open Multiplicative Inverse Modulo Calculator Find the multiplicative or additive modular inverse instantly. Shows full Extended Euclidean Algorithm steps, GCD check, and Fermat shortcut for prime moduli.
Open Order of Magnitude Calculator Find the order of magnitude of any number, convert to scientific notation, and compare two values by how many powers of 10 separate them. Instant, free results.
Open Partial Products Calculator Break any multiplication into place-value partial products instantly. See every step, a full grid breakdown, and the final answer with clear working shown.
Open Perfect Cube Calculator Find any number cubed (n^3), check if a number is a perfect cube, and calculate cube roots instantly. Includes a reference table of the first 50 perfect cubes.
Open Pi Experiments Calculator Estimate pi from five classic experiments: circumference ratio, Archimedes slices, Buffon's needle, pendulum timing, and Monte Carlo dart-throw. Full step-by-step math.
Open Place Value Calculator Find the place value of every digit in any number. See expanded form, word form, and a digit-by-digit table from ones through quintillions and tenths to billionths.
Open Polish Notation Converter Convert any math expression between infix, prefix (Polish), and postfix (RPN) notation. Evaluate numeric expressions step by step. Free, instant, no install.
Open Power Mod Calculator Compute a^b mod n instantly with the binary square-and-multiply algorithm. See the full step-by-step table, binary exponent breakdown, and key properties.
Open Powers of i Calculator Calculate any power of the imaginary unit i. Enter an integer exponent for the exact result, step-by-step working, real and imaginary parts, and the cycle table.
Open Quotient Calculator Find the quotient, remainder, decimal result, and mixed-number form instantly. Shows step-by-step division work and handles negative numbers.
Open Radical Calculator Simplify any radical expression step by step. Enter a coefficient, root index, and radicand to get the simplified form, prime factorization, and decimal value instantly.
Open Rationalize Denominator Calculator Rationalize a denominator instantly. Handles monomial square roots, binomial conjugates, cube roots, and nth roots. Full step-by-step working shown.
Open Relatively Prime Calculator Check instantly if two integers are relatively prime (coprime). See the GCD via the Euclidean algorithm, prime factorizations, LCM, and step-by-step working.
Open Reverse FOIL Calculator Factor any quadratic trinomial ax^2 + bx + c into two binomials using the reverse FOIL (AC) method. Instant step-by-step solution with worked math.
Open Root Calculator Calculate any root: square root, cube root, or nth root instantly. Step-by-step estimation, perfect root detection, negative support, and a root curve chart.
Open Root Mean Square Calculator Calculate the root mean square (RMS) of any dataset instantly. See the step-by-step working, arithmetic mean, standard deviation, and AC voltage conversion.
Open Round to the Nearest Thousand Calculator Round any number to the nearest thousand, ten thousand, or hundred thousand instantly. Supports 7 rounding modes with step-by-step explanations.
Open Rounding Numbers Calculator Round any number to decimal places, significant figures, or a whole-number place value. Choose from 9 rounding modes with a full step-by-step explanation.
Open Set Builder Calculator Free set calculator for union, intersection, difference, complement, power set, and Cartesian product. Enter finite sets and get instant results with step-by-step work.
Open Significant Figures Calculator Count significant figures in any number, round to a chosen precision, or add, subtract, multiply, and divide with correct sig fig rules and step-by-step results.
Open Simplifying Radicals Calculator Simplify any radical instantly: enter the index, radicand and outer coefficient, get the simplified form with step-by-step prime factorization and a decimal value.
Open Standard Form Calculator Convert any number to standard form (scientific notation), E-notation, or engineering notation instantly. See step-by-step working and switch between all four formats.
Open Subtracting Fractions Calculator Subtract any two fractions or mixed numbers instantly. See the LCD, step-by-step working, simplified result, and decimal equivalent in one click.
Open Subtraction Calculator Subtract up to four numbers instantly. Shows a step-by-step breakdown, handles decimals and negatives, and explains regrouping (borrowing) in plain language.
Open Sum of Products Calculator Calculate the sum of products of two numeric series instantly. See every multiplication step, the running total, weighted average, and the full worked solution.
Open Terminating Decimals Calculator Check whether a fraction gives a terminating or repeating decimal. See the prime factorisation, simplified fraction, decimal expansion, and step-by-step working.
Open Triangular Numbers Calculator Calculate any triangular number instantly with T(n) = n(n+1)/2. Reverse-solve to find position n, display a sequence up to 20 terms, and see step-by-step working.
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