Basic Math Operations
Absolute Value Calculator - Calculate the absolute value (modulus) of any real or complex number. See step-by-step solutions, number line visualization, and distance-from-zero animation. New
Amicable Number Checker - Check whether two positive integers form an amicable pair, or enter just one number and let the tool discover its partner automatically. Features animated divisor "handshake" visualizations, step-by-step sigma function breakdowns, aliquot-chain previews, and historical context dating back to Pythagoras. New
Carry and Borrow Visualizer - 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. New
Ceiling and Floor Function Calculator - 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. New
Common Factor Calculator - 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.
Cross Multiplication Calculator - Solve proportions using cross multiplication. Find the unknown value in a/b = c/d equations with step-by-step solutions and visual diagrams. New
Cube and Cube Root Calculator - Calculate the cube (n³) and cube root (∛n) of any number with step-by-step solutions, perfect cube detection, and interactive visualizations.
Cube Root Calculator - 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.
Digital Root Calculator - Calculate the digital root of any number by repeatedly summing its digits until a single digit remains. Supports additive and multiplicative modes, bases 2/8/10/16, animated step-by-step breakdown, O(1) formula verification, and persistence counter. New
Divide Into Two Parts - 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.
Divisibility Test Calculator - 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.
Egyptian Multiplication Calculator - 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 picked, and discover why this 4,000-year-old trick is really binary arithmetic in disguise. New
Estimation Calculator - 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. New
Even or Odd Number Checker - Quickly check if numbers are even or odd. Supports batch input with visual grouping, divisibility explanations, number line visualization, and detailed parity analysis. New
Factor Calculator - 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.
Fibonacci Number Checker - Instantly check whether any positive integer belongs to the Fibonacci sequence. Uses Gessel's perfect-square theorem for an O(1) mathematical test, reveals the exact index F_n, shows the unique Zeckendorf representation, visualizes the golden spiral, and plots the golden ratio convergence — a complete Fibonacci x-ray in one click. New
Find Minimum and Maximum - 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.
First n Digits of e - 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. Featured
First n Digits of Pi - 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. Featured
Goldbach Conjecture Verifier - Verify the Goldbach conjecture for any even integer greater than 2. Decompose your number into every possible pair of prime numbers that sum to it, explore the Goldbach partition function g(n), and visualize the famous Goldbach comet interactively. New
Greatest Common Factor Calculator - Calculate the greatest common factor (GCF) of two or more numbers with step-by-step solutions using multiple methods.
Is it a Prime Number? - Check if a number is prime with detailed analysis, factorization, and visual number line representation. Featured
Least Common Multiple Calculator - 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.
Long Addition and Subtraction Calculator - Visualize addition and subtraction step by step with column-by-column carrying and borrowing. Color-coded animations show each digit computation for easy learning. New
Long Division Calculator - Solve long division problems step by step. See the full working process with quotient, remainder, and decimal expansion. Perfect for learning and verifying division. New
Long Multiplication Calculator - Solve multiplication problems step-by-step using the long multiplication method. See each partial product, carry digits, and column alignment for clear understanding. New
Möbius Function Calculator - Calculate the Möbius function μ(n) for any positive integer. Instantly returns −1, 0, or +1 with full prime factorization, squarefree analysis, step-by-step explanation, Mertens function M(n), and a color-coded μ-value heatmap showing nearby integers. New
Mental Math Trainer - Sharpen mental arithmetic with daily drills graded across five difficulty levels — from first-grade single-digit addition all the way to two-digit multiplication and percentage estimation. Every problem is paired with a named mental-math strategy (Doubling, Compensating, Place-Value Split, Round-and-Adjust, Nines Trick, Halve-Then-Double, Front-End Estimation, and Distributive Split) and an animated step-by-step coach card, so each drill teaches a technique you can carry to the next problem. The Daily Workout serves a fixed, date-seeded set everyone in the world gets at the same time so you can compare your time and score with friends. Mobile-friendly, print-ready, and built for Common Core mental-math standards, UK Y3-Y6 reasoning, and adult GED, ASVAB, GMAT, and civil-service numeracy prep. New
Mersenne Prime Checker - Test whether 2^p − 1 is a Mersenne prime for a given exponent p. Uses the Lucas–Lehmer primality test with an animated iteration trace, binary bit-pattern visualization, Euclid-Euler perfect-number pairing, and historical context on the 52 known Mersenne primes. New
Modulo Calculator - Calculate modulo (remainder) with step-by-step division process, interactive visual diagrams, and support for integers, decimals, negative numbers, and scientific notation. Featured
Multiplication Calculator - 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. Featured
Multiplication Table Generator - Generate printable multiplication tables for any range. Customize rows and columns, highlight specific multiples, and export as PDF for classroom or study use. New
n-th Root Calculator - 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.
Number Bonds Generator - Generate animated number bond practice problems for early arithmetic. Pick a total from 5 to 100 (or any custom number), choose Practice Quiz, Bond Chart, or Fact Family mode, and the generator builds a worksheet that pairs each problem with three matching visual models: a cherry part-part-whole diagram, a ten-frame, and a two-color bar model. Built-in self-check, live score tracker, fact-family reveal, and print-ready output make this the friendliest number bonds tool for Kindergarten through Grade 2, Singapore Math classrooms, and homeschool parents. New
Number of Digits Calculator - Calculate the number of digits in any integer, analyze digit distribution, and visualize the breakdown of each position value (ones, tens, hundreds, etc.). Featured
Number Pattern Finder - 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. New
Order of Operations Calculator (PEMDAS) - Solve math expressions step by step following PEMDAS/BODMAS order of operations. See each step with highlighted operations, perfect for learning operator precedence. New
Perfect Number Checker - 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. New
Place Value Chart Generator - 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. New
Prime Factor Calculator - 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.
Prime Factorization Calculator - Calculate the prime factorization of any positive integer instantly. Get step-by-step breakdown, factor tree visualization, and complete analysis of prime factors.
Quotient and Remainder Calculator - Calculate quotient and remainder with interactive visual representations, step-by-step explanations, and comprehensive division insights. Featured
Random Math Problem Generator - Generate fresh random math practice problems by grade level (K-8) and topic. Pick from addition, subtraction, multiplication, division, fractions, decimals, percentages, word problems, order of operations, and pre-algebra equations. Each problem ships with an animated visual aid, a hidden step-by-step solution you can reveal on demand, and a built-in self-check answer field — perfect for teachers building worksheets, parents drilling kids, and students self-quizzing for tests. New
Ratio Calculator - 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. New
Roman Numeral Math Solver - Compute directly with Roman numerals (I, V, X, L, C, D, M). Watch each step: subtractive expansion (IV → IIII), regrouping (5 I → V, 2 V → X, 5 X → L, 2 L → C, 5 C → D, 2 D → M), borrowing for subtraction, the Roman doubling method for multiplication and division, and final canonicalization. Built for students, teachers, history fans, and anyone curious how the ancients actually did arithmetic without a place-value system. New
Russian Peasant Multiplication - 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 step by step, see the parities reveal the binary form of your multiplier, and add up the kept rows to reach the product. New
Skip Counting Generator - 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. New
Soroban Abacus Simulator - Practice 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 the abacus solve it step by step using the traditional 5-complement and 10-complement rules. New
Sort Numbers - Sort numbers in ascending or descending order with comprehensive statistics, visual distribution charts, and detailed analysis. Handles decimals, negatives, and thousands separators. Featured
Square Root (√) Calculator - 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. Featured
Sum Calculator - 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. Featured
Times Tables Quiz - Practice multiplication tables with a live timer, streak counter, and a colour-coded 12×12 heatmap that pinpoints your weakest facts. Pick any combination of tables from 2 to 12, choose Sprint (60-second race), Marathon (fixed length), or Boss Battle (drills only the facts you most often miss), and switch between three question formats — standard, missing factor, and reversed. Every right answer feeds an animated streak bar; every wrong one shakes the card and flags the fact for review. Mobile-friendly, print-ready, and a teacher-loved alternative to flashcards for Years 2–6, Common Core Grade 3, and homeschool drill sessions. New
Unit Rate Calculator - 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. New
Vedic Math Tricks Calculator - Apply classical Vedic math sutras — Urdhva-Tiryagbhyam (vertically and crosswise), Nikhilam Navatashcaramam Dashatah (all from 9 and the last from 10), Ekadhikena Purvena (by one more than the previous one), and Nikhilam division — to multiply, square, and divide numbers far faster than long multiplication. Each step is animated with cross-lines, base-deficit pills, and a running explanation panel. New
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