Basic Math Operations

Calculate the absolute value (modulus) of any real or complex number. See step-by-step solutions, number line visualization, and distance-from-zero animation.

Check whether two positive integers form an amicable pair, or enter one number and let the tool find its partner. Includes animated divisor handshakes, step-by-step sigma-function breakdowns and aliquot-chain previews.

See carrying and borrowing happen column by column. This animated visualizer walks through every step of long addition and subtraction, including cascading borrows across zeros, so kids and learners can finally see why the trick works.

Compute the ceiling ⌈x⌉ and floor ⌊x⌋ of any real number. See step-by-step solutions, interactive number line, staircase graph, and fractional part analysis.

Find common factors of two or more numbers with interactive Venn diagram, step-by-step explanations, GCF calculation, and multiple solving methods including prime factorization.

Solve proportions using cross multiplication. Find the unknown value in a/b = c/d equations with step-by-step solutions and visual diagrams.

Calculate the cube (n³) and cube root (∛n) of any number with step-by-step solutions, perfect cube detection, and interactive visualizations.

Calculate the cube root of any number with precision up to 1000 decimal places. Features interactive 3D cube visualization, root comparison chart, perfect cube finder, step-by-step solution, and practical volume-to-side converter.

Calculate the digital root of any number by repeatedly summing its digits until one digit remains. Supports additive and multiplicative modes, bases 2, 8, 10 and 16, an animated breakdown, formula check and persistence counter.

Divide any number into two parts based on ratios or fractions. Interactive visual balance shows proportional splits with step-by-step calculations and downloadable results.

Test if a number is divisible by another number. Check multiple divisors at once, learn divisibility rules for 2-12, see step-by-step calculations, and explore prime factorization.

Multiply two whole numbers the ancient Egyptian way, by repeated doubling and selective adding. Watch the doubling table build row by row, see which powers of two are chosen, and learn why the trick is really binary arithmetic.

Round and estimate results of arithmetic expressions. See side-by-side comparisons of rounding strategies, visual number lines, error analysis, and step-by-step estimation breakdowns.

Quickly check if numbers are even or odd. Supports batch input with visual grouping, divisibility explanations, number line visualization, and detailed parity analysis.

Calculate all factors of a number step by step with factor pairs visualization, interactive factor tree diagram, prime factorization, and comprehensive number analysis including perfect square detection.

Check whether any positive integer belongs to the Fibonacci sequence. Uses Gessel's perfect-square theorem for an O(1) test, reveals the exact index, shows the Zeckendorf representation and plots the golden ratio convergence.

Find the minimum and maximum values in any number set with visual data distribution, sorted rankings, statistical analysis, and position indicators for comprehensive data exploration.

Generate and analyze the first n digits (up to 1000) of e (Euler's number) with comprehensive digit frequency analysis, pattern exploration, and interactive visualizations.

Generate and analyze the first n digits (up to 10,000) of Pi (π) with comprehensive digit frequency analysis, pattern exploration, interactive visualizations, and unique Pi-themed insights.

Verify the Goldbach conjecture for any even integer above 2. Decompose your number into every pair of primes that sums to it, explore the Goldbach partition function, and view the famous Goldbach comet interactively.

Calculate the greatest common factor (GCF) of two or more numbers with step-by-step solutions using multiple methods.

Check if a number is prime with detailed analysis, factorization, and visual number line representation.

Calculate the least common multiple (LCM) of two or more numbers with interactive prime factorization visualization, step-by-step solutions, and multiple calculation methods explained.

Visualize addition and subtraction step by step with column-by-column carrying and borrowing. Color-coded animations show each digit computation for easy learning.

Solve long division problems step by step. See the full working process with quotient, remainder, and decimal expansion. Perfect for learning and verifying division.

Solve multiplication problems step-by-step using the long multiplication method. See each partial product, carry digits, and column alignment for clear understanding.

Sharpen mental arithmetic with drills across five difficulty levels, from single-digit addition to two-digit multiplication. Every problem names a strategy and shows an animated coach card, and the Daily Workout is the same worldwide.

Test whether 2^p - 1 is a Mersenne prime for a given exponent p. Uses the Lucas-Lehmer test with an animated iteration trace, a binary bit-pattern visual, Euclid-Euler perfect-number pairing and the 52 known Mersenne primes.

Calculate the Mobius function for any positive integer, returning -1, 0 or +1 with full prime factorization, squarefree analysis, a step-by-step explanation, the Mertens function and a colour-coded heatmap of nearby integers.

Calculate modulo (remainder) with step-by-step division process, interactive visual diagrams, and support for integers, decimals, negative numbers, and scientific notation.

Free online multiplication calculator that multiplies any numbers instantly with detailed step-by-step solutions, visual factor breakdown, and comprehensive result analysis including sign rules and magnitude insights.

Generate printable multiplication tables for any range. Customize rows and columns, highlight specific multiples, and export as PDF for classroom or study use.

Calculate the n-th root of any number with high precision up to 1000 decimal places. Features step-by-step solutions, visual diagrams, and mathematical notation in both radical and exponential forms.

Generate animated number bond practice for early arithmetic. Pick a total from 5 to 100 and a Practice Quiz, Bond Chart or Fact Family mode, and each problem comes with a cherry diagram, a ten-frame and a two-colour bar model.

Calculate the number of digits in any integer, analyze digit distribution, and visualize the breakdown of each position value (ones, tens, hundreds, etc.).

Identify the pattern in a number sequence and predict the next values. Detects arithmetic, geometric, Fibonacci-like, quadratic, cubic, power, factorial, triangular, and prime patterns with step-by-step explanations.

Solve math expressions step by step following PEMDAS/BODMAS order of operations. See each step with highlighted operations, perfect for learning operator precedence.

Check if a number is perfect, abundant, or deficient by comparing it to the sum of its proper divisors. View divisor pairs, sigma function values, and an interactive visual breakdown with animated charts.

Visualize place values from billions to thousandths with an interactive chart. Enter any number to see each digit's place value, expanded form, and word representation.

Calculate the prime factors of any number with step-by-step factorization, interactive factor tree visualization, prime factorization in exponential form, and detailed mathematical analysis.

Calculate the prime factorization of any positive integer instantly. Get step-by-step breakdown, factor tree visualization, and complete analysis of prime factors.

Calculate quotient and remainder with interactive visual representations, step-by-step explanations, and comprehensive division insights.

Generate fresh maths practice by grade level (K-8) and topic: addition, subtraction, multiplication, division, fractions, decimals, percentages, word problems and pre-algebra. Each has a visual aid and a reveal-on-demand solution.

Solve proportions, simplify ratios to lowest terms, scale ratios up or down, and generate equivalent ratios. Free online ratio calculator with step-by-step solutions and visual ratio bars.

Compute directly with Roman numerals. Watch every step: subtractive expansion, regrouping, borrowing for subtraction, the Roman doubling method for multiplication and division, and final canonicalization of the answer.

Multiply two whole numbers the Russian peasant way: halve the left, double the right, and keep only the odd-left rows. Watch the halving stair build downward and see the parities reveal the binary form of your multiplier.

Generate skip counting sequences by any number. Visualize patterns on an interactive number line with hop animations, a hundreds chart, and printable sequence lists for classroom use.

Practise on a virtual Japanese soroban with realistic bead movement. Click beads to set any value, or feed in an addition, subtraction, multiplication or division problem and watch it solved with the traditional complement rules.

Sort numbers in ascending or descending order with comprehensive statistics, visual distribution charts, and detailed analysis. Handles decimals, negatives, and thousands separators.

Calculate the square root of any number with high precision up to 1000 decimals. Features step-by-step explanations, geometric visualizations, and Newton's method demonstration.

Add long lists of numbers instantly with high precision. Paste or type your values separated by commas, spaces, or line breaks and get the total right away.

Practise multiplication tables with a live timer, streak counter and a 12x12 heatmap that pinpoints your weakest facts. Pick any tables from 2 to 12, choose Sprint, Marathon or Boss Battle, and switch between three question formats.

Calculate unit rate from any ratio. Compare prices per unit, find speed per hour, cost per item, and determine the better deal between two options.

Apply classical Vedic maths sutras - vertically and crosswise, all from 9 and the last from 10, by one more than the previous one, and Nikhilam division - to multiply, square and divide fast. Every step is animated and explained.