Math Tools

Enter any expression and watch it solve step by step following PEMDAS. Each operation is color-coded so you see exactly what happens and why.

See long division worked out step by step with the traditional layout, divide-multiply-subtract-bring-down explanations, and remainder or decimal results.

Type a decimal, fraction, or percent and the other two update instantly. Pie chart, 100-grid, and number line show the same value three ways.

Build visual factor trees, find prime factorizations, and compute GCF and LCM with a Venn diagram of shared prime factors.

Four modes for every percent problem: find the part, the percent, the whole, or percent change. 100-grid and bar model visuals with step-by-step math.

See expanded multiplication, area and volume models, powers tables, and rules for zero and negative exponents. Visual models for squares and cubes.

Add, subtract, multiply, or divide fractions with fraction bar models, area models, and step-by-step solutions. Supports mixed numbers.

Add or subtract integers on a visual number line. Arrow shows direction and distance, with step-by-step explanations for negative number operations.

Solve one-step and two-step equations visually with an SVG balance scale. See step-by-step operations applied to both sides.

Explore ratios with tape diagrams, equivalent ratio tables, unit rates, and cross-multiplication proportion solving.

See any number broken into place values with base-10 blocks, expanded form, and word form. Supports decimals.

Solve ax² + bx + c = 0 with an interactive graph. See roots, vertex, discriminant, and step-by-step solutions.

Solve systems of linear equations with step-by-step Gaussian elimination, interactive matrix visualization, and exact fraction arithmetic.

Explore the unit circle interactively. Drag a point to see trig values, exact forms, and geometric meanings for any angle.

Compute factorials, permutations, combinations, and multinomial coefficients with step-by-step breakdowns and an interactive Pascal's Triangle.

Compute determinants, inverses, row reduction, multiplication, and more with step-by-step solutions.

Solve any triangle with step-by-step Law of Sines and Law of Cosines solutions.

Factor polynomials up to degree 4 and find roots with step-by-step solutions.

Graph and solve linear and quadratic inequalities with number line shading, 2D region visualization, and interval notation.

Add, subtract, scale, dot product, and cross product of 2D vectors with SVG coordinate plane, tip-to-tail and parallelogram methods.

See how a 2x2 matrix transforms a unit square. Visualize rotation, scaling, shearing, and reflection with determinant and eigenvalues.

Evaluate logs in any base, solve log equations, use change-of-base formula, and see the graph with its exponential inverse. Log properties panel included.

Add, subtract, multiply, divide complex numbers with an Argand diagram. See polar form, modulus, argument, and step-by-step math.

Calculate P(A or B), P(A and B), P(not A), and conditional P(A|B) with a Venn diagram and step-by-step formulas.

Solve 2x2 through 5x5 systems with Gaussian elimination. Step-by-step row operations, augmented matrix display, determinant, and solution classification.

Find eigenvalues and eigenvectors of 2×2 and 3×3 matrices. Shows characteristic polynomial, real and complex eigenvalues, normalized eigenvectors, diagonalization matrices P and D, and an interactive eigenvector direction plot.

Visualize span, linear independence, basis, and dimension in ℝ². Input up to 4 vectors, see their span shaded on an interactive graph, check independence, find a basis, and compute Gram-Schmidt orthogonalization.

Factor any number into primes with a branching factor tree and step-by-step division. Animate the Sieve of Eratosthenes up to 500, watching multiples get crossed out by color as primes emerge.

Compute a mod n, modular addition, multiplication, and fast exponentiation. Find modular inverses with the extended Euclidean algorithm, solve systems via the Chinese Remainder Theorem, and visualize clock arithmetic on an interactive number circle.

Build and analyze graphs with draggable SVG nodes. Run BFS and DFS traversals, find shortest paths with Dijkstra's algorithm, compute minimum spanning trees with Prim's algorithm, and detect Eulerian circuits and paths.

Enter elements for 2 or 3 sets and see results highlighted on interactive Venn diagrams. Explore union, intersection, complement, difference, symmetric difference, power set, and Cartesian product with cardinality stats.

Interactive analog and digital clock for learning to tell time, with quarter-hour labels, AM/PM, elapsed time calculator, and schedule puzzles for elementary students

Click coins and bills to count money, practice making change, and compare prices. Interactive US currency tool for elementary students

Explore addition and subtraction with base-10 blocks, number line hops, and the column method. Visualize regrouping and borrowing for numbers up to 999

Explore division through equal sharing and equal grouping models with visual animations, remainder highlighting, and inverse multiplication connections

Explore multiplication with arrays, equal groups, skip counting, and fact families. Visual models for times tables from 1×1 to 12×12

Plot points on a first-quadrant grid, play treasure hunt with coordinate clues, draw shapes by connecting points, and measure distances. Interactive coordinate geometry for elementary students

Round numbers to the nearest 10, 100, or 1000 on an interactive number line. Practice front-end estimation and check if answers are reasonable

Place, compare, and find equivalent fractions on an interactive number line. Visualize unit fractions, mixed numbers, and fraction comparison for elementary students

Interactive fraction wall showing halves through twelfths. Click pieces to find equivalents, compare fractions visually, and simplify with GCD

Shade cells on interactive tenths strips and hundredths grids to build decimal understanding. Compare decimals visually and connect to fraction equivalents

Build Singapore math bar models (tape diagrams) for part-whole, comparison, and multiplicative word problems. Visual problem-solving strategy for elementary students

Virtual ruler, graduated cylinder, and balance scale for practicing measurement. Convert between inches/cm, mL/cups, and grams/kg with visual comparisons

Practice converting between measurement units with visual guides. Learn metric and customary units for length, mass, volume, and time with interactive challenges

Feed numbers through a function machine to discover rules. Single and two-step operations, pattern tables, guess-the-rule puzzles, and number sequence extension

Multiply 2-digit and 3-digit numbers by drawing area models. Break each number into tens and ones, compute partial products in each rectangle, and add them up to find the total.

See fraction multiplication with colorful area models. Shade rows and columns to find the overlap, practice building models, and compare products on a number line.

Build mixed numbers with stepper buttons and watch them decompose into improper fractions with fraction circles or bars. Number line shows both forms. Practice conversions and add/subtract mixed numbers in Challenge mode

Find all factor pairs of a number and see them as rectangular arrays. Explore multiples, identify prime and composite numbers, and discover GCF and LCM with a Venn diagram.

Divide step by step using partial quotients. Subtract friendly multiples, stack the quotients, and find remainders. Practice with word problems that ask what to do with the leftover.

Use base-ten blocks to add, subtract, multiply, and divide decimals. See flats (1), rods (0.1), and unit cubes (0.01) come together with regrouping animations.

Build numerical expressions by clicking number tiles and operator cards. Add parentheses to change the value, match expressions to word descriptions, and explore numerical patterns.

Solve two-step word problems by choosing operations and entering each step. Visual work mat guides students through combine-then-remove, multiply-then-share, and other problem types.

Solve elapsed time problems using interactive analog clocks and a number line jump strategy. Find how long between two times or what time it will be after a duration.

Partition circles, rectangles, triangles, and hexagons into equal shares and identify the unit fraction each part represents. Build fraction models by shading parts.

Build and interpret 'times as many' comparisons using animated bar models. Find the product, base, or multiplier in multiplicative comparison word problems.

Share objects equally among groups and discover that the result is a fraction. Connect division to fractions through pizza, apple, and sandwich sharing stories.

Explore two kinds of unit fraction division: how many 1/4 cups fit in 3 cups, and how to share 1/3 of a pizza among 4 people. Number line and area models support both types.

Solve multi-step measurement word problems with unit conversion. A conversion reference card is always visible. Covers length, mass, capacity, and time in US and metric units.

Determine whether numbers are prime or composite by building all possible rectangular arrays. Sort numbers into Prime and Composite bins and discover that 1 is neither.

Build part-part-whole number bonds and explore all four related addition and subtraction facts. Three difficulty levels for grades K-3.

Explore skip counting patterns on an interactive hundreds chart. Count by 2s, 5s, 10s and more. Watch the pattern light up and fill in missing numbers. Grades K-3.

Explore months, days, and dates on an interactive calendar. Answer questions about days of the week, count days forward and back, and practice date math. Grades K-3.

Drag the thermometer to explore temperatures. See clothing tips and real-world context for hot and cold days. Practice Celsius and Fahrenheit. Grades K-3.

Measure objects using paper clips, erasers, and blocks. See how bigger units mean smaller counts. Practice measurement concepts for grades K-2.

Build numbers on ten-frames, subitize dot patterns, and fill frames to match targets. Build early number sense for numbers 1 to 10. Grades K-1.

Count objects, compare pairs with greater than, less than, or equal, and put numbers in order. Covers K.CC.6, K.CC.7, and 1.NBT.3. Grades K-1.

See teen numbers as 10 plus some ones using ten-rods and unit blocks. Build, identify, and decompose numbers 11 to 19. Grades K-1.

Hop forward and backward on a number path from 0 to 20. Practice counting on, counting back, and early addition and subtraction. Grades K-1.

Record survey data with tally marks and display it as a pictograph. Practice reading charts, comparing counts, and answering data questions. Grades 1-2.

Identify 2D shapes by counting sides and corners. Sort circles, triangles, squares, rectangles, pentagons, and hexagons by their attributes. Grades K-1.

Combine triangles, squares, and semicircles to build larger shapes. See how smaller shapes fit together to compose circles, rectangles, and more. Grades K-1.

Practice above, below, beside, between, left, and right using an animal grid map. Answer positional questions to build spatial vocabulary. Grades K-1.

Practice 1st through 10th with animal line-up games. Identify ordinal positions, place characters in sequence, and solve short ordering stories. Grades K-1.

Place everyday objects on a virtual balance scale and predict which side is heavier, lighter, or equal before it tips. Practice comparing weights with heavier, lighter, and equal. Grades K-1.

Enter prices and quantities for two products to instantly compare cost per unit. A best-buy badge highlights the better value, with savings percentage and preloaded examples like cereal boxes and juice bottles.

Enter an item price, discount percentage, and sales tax rate to see the full price breakdown step by step. Explore whether applying the discount or tax first changes the total. Supports stacked discounts (e.g. 20% off then 8% tax) with a visual flowchart showing each calculation stage and a final price badge.

Compare simple vs compound interest with an interactive savings simulator. Enter principal, annual rate, years, and optional monthly contributions. Toggle compounding frequency (annually, quarterly, monthly, daily). A year-by-year balance chart and table show the growth difference. Includes Rule of 72 calculator and total interest breakdown.

Calculate monthly loan payments, total interest, and view a full amortization schedule. Enter loan amount, APR, and term in months or years. Compare four preset loan types (car, student, mortgage, personal) side by side. Bar chart shows principal vs interest paid each year, and a downloadable amortization table breaks down every payment.

Convert map distances to real-world distances using any scale ratio. Enter a scale like 1:50000 and a map measurement to find the true distance instantly. Works in reverse (real to map) and includes preset scales for common maps, floor plans, and drawings. Area scale and multi-unit output (km, mi, m, ft, cm, in).

Type or paste data values and labels, choose a chart type (bar, line, pie, or pictograph), and see a colorful SVG graph instantly. Auto-calculates mean, median, mode, and range. Supports up to 12 data points, custom colors, and a title. Pictograph uses icon-per-unit display scaled to the data set.