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.

Enter two integers or one number to auto-find its partner, view step-by-step divisor sigma breakdowns, and verify amicable number pairs.

Enter two numbers and select addition or subtraction to watch column-by-column carrying and borrowing steps, including cascading borrows across zeros.

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.

Enter a number and a ratio or fraction to split it into two parts, with the steps and a balance view. Decimals can run to 10 places.

Enter an integer of up to 15 digits and one or more divisors to test each, see the rules for 2 through 12 and list divisors, with up to 50 shown.

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.

Enter an arithmetic expression to estimate it with more than one rounding method, and see the steps, a number line and the error of each estimate.

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.

Paste a number list to find its smallest and largest values, their positions and repeat counts. Also see the range, mean, median and sorted values.

Enter a count from 10 to 1000 to generate digits of Euler's number and calculate digit frequencies, mean values, and consecutive run lengths.

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.

Enter an even integer greater than 2 to list every pair of primes that adds up to that number.

Find the GCF of 2–15 positive whole numbers. Compare prime factorization, the Euclidean algorithm and factor listing with worked steps.

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.

Enter two numbers up to 999,999,999,999 to see the long multiplication solution with aligned columns, carry digits, and partial products.

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.

Enter numbers separated by commas, lines, or multiplication signs to get instant products with detailed step-by-step solutions and factor breakdowns.

Choose the row and column ranges and any multiples to highlight. Get a multiplication table you can print or export as a PDF.

Enter a number and an index n. Get the n-th root in radical and exponential form, with as many as 1000 decimal places, and the steps.

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.

Count the digits in a positive or negative integer, excluding the minus sign. See each digit's place value, frequency and the sum of the digits.

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.

Enter a whole number up to 10^15 to see its prime factors, a factor tree, and the product in exponential form.

Enter any positive integer with up to 15 digits to get its prime factorization, step-by-step breakdown, and a factor tree visualization.

Enter a dividend and a divisor to get the quotient and remainder for whole numbers of any size, with the steps shown.

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.

Set beads or enter an addition, subtraction, multiplication, or division to watch it solved on a 13-column soroban. Whole numbers up to 999,999.

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.

Paste numbers separated by commas, spaces or line breaks to find their sum. Review the running total, average, median, minimum and maximum.

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.

Enter whole numbers to multiply, square, or divide with a Vedic sutra. Each step is shown, within that sutra's digit limit.