Math Calculators

8 modes: percent of, what percent, increase/decrease, percent change, reverse, discount simulator, chained steps.

Count significant figures, round to N sig figs, and convert between standard and scientific notation.

Find all solutions that combine 4 numbers using +, -, ×, ÷ to make 24. Step-by-step explanations.

Calculate powers, apply product/quotient/power rules, handle negative, zero, and fractional exponents with steps.

Compute logarithms with any base, natural log, change of base, and log equations with step-by-step solutions.

Solve with quadratic formula, completing the square, or factoring. Includes discriminant analysis and graph.

Solve systems of linear equations using substitution, elimination, or Cramer's rule with detailed steps.

Solve linear and nonlinear systems step-by-step using Cramer's rule, Gaussian elimination, substitution, or matrix inversion. Plots intersection curves.

Solve linear, quadratic, and rational inequalities with step-by-step solutions and number line visualization.

Solve linear, quadratic, and modular Diophantine equations with extended Euclidean algorithm steps and lattice graphs.

Perform all polynomial operations with step-by-step solutions. Long division, factoring, root finding for any degree.

13 vector operations with step-by-step solutions. Dot product, cross product, projection, magnitude, and more for 2D and 3D.

Evaluate all 6 trig functions at any angle. Find quadrants, reference angles, and coterminal angles with unit circle visualization.

Browse 8 categories of trig identities (Pythagorean, double angle, sum-to-product, etc.) and prove identities step-by-step.

Solve trig equations and inequalities with step-by-step solutions. Simplify expressions and find general solutions with periodicity.

Complete descriptive statistics with interactive histogram, box plot, frequency table, and Python scipy export.

Calculate standard deviation and variance for sample and population data with step-by-step worked examples.

Calculate mean, median, and mode with step-by-step solutions and visual comparison.

Compute variance with step-by-step deviation calculations for both sample and population data.

Find the percentile rank of a value or compute the value at a given percentile in your dataset.

Calculate z-scores, find probabilities from the standard normal distribution, and look up z-table values.

Compute probabilities for normal distributions. Find P(X < a), P(a < X < b), and inverse normal values.

Compute binomial probabilities, cumulative distribution, expected value, and variance for Bernoulli trials.

Calculate probabilities for events, combinations, permutations, and conditional probability with Bayes' theorem.

Compute confidence intervals for means and proportions at 90%, 95%, or 99% confidence levels.

Perform one-sample and two-sample hypothesis tests with p-value computation and decision rules.

Perform t-tests for means comparison with degrees of freedom, critical values, and p-value interpretation.

Chi-square tests for goodness of fit and independence with observed vs expected comparison and p-values.

Compare means across multiple groups with F-statistic, sum of squares, and post-hoc analysis.

Calculate Pearson and Spearman correlation coefficients with scatter plot and significance testing.

Fit a least-squares regression line with slope, intercept, R-squared, residuals, and scatter plot.

Determine the required sample size for surveys and experiments given confidence level, margin of error, and population size.

Calculate Cohen's d, eta-squared, odds ratio, and other effect size measures with interpretation guidelines.

Compute standard error of the mean, proportion, and difference between means with step-by-step formulas.

Detect outliers using IQR method, Z-score method, and Grubbs' test with step-by-step identification.

Calculate p-values from z-scores, t-statistics, chi-square, and F-statistics with one-tail and two-tail options.

Plot Cartesian, parametric, polar, and implicit equations. Trace slopes, find intersections, animate sliders, export PNG/SVG. 35+ presets.

Differentiate any function with step-by-step application of differentiation rules. Supports higher-order derivatives.

Compute definite and indefinite integrals with step-by-step solutions using substitution, parts, and partial fractions.

Evaluate limits at a point or at infinity. Handles indeterminate forms with L'Hôpital's rule and step-by-step solutions.

Compute gradient, divergence, and curl with step-by-step partial derivatives, 3D cone plots, and printable worksheets.

Forward and inverse Laplace transforms with step-by-step solutions, partial fractions, ROC, and common pairs table.

Forward and inverse Fourier transforms with step-by-step solutions, frequency domain analysis, and common pairs table.

Forward and inverse Z-transforms with step-by-step solutions, ROC, stem plots, and common pairs table.

Generate Bode magnitude and phase plots for transfer functions with step-by-step analysis and interactive graphs.

Compute continuous and discrete convolution with step-by-step solutions, interactive graphs, and properties table.

Compute finite difference approximations with forward, central, and backward methods. Symbolic, numerical, and weights modes.

Solve first and second-order ordinary differential equations with step-by-step solutions, direction field plots, and ODE classification.

Solve heat equation, wave equation, and Laplace equation numerically with finite difference and 3D surface plots.

Compute Taylor and Maclaurin series expansions with step-by-step derivatives and convergence analysis.

Compute determinants of matrices up to 10×10 using cofactor expansion with step-by-step solutions.

Multiply matrices of any compatible dimensions with detailed element-by-element computation steps.

Find the inverse matrix using Gauss-Jordan elimination with row operation steps.

Compute eigenvalues and eigenvectors with characteristic polynomial and step-by-step solutions.

Compute matrix rank using row echelon form with step-by-step row operations.

Add, subtract, and scale matrices with element-wise computation steps.

Compute matrix raised to any power with step-by-step multiplication and practice problems.

Transpose matrices and verify properties like (AB)^T = B^TA^T with steps.

Identify symmetric, orthogonal, diagonal, identity, nilpotent, and 20+ other matrix types.