Our comprehensive collection of 500+ free online math calculators helps students, teachers, engineers, and professionals solve mathematical problems quickly and accurately. Whether you're working on homework, preparing for exams, or solving real-world problems, our tools provide step-by-step solutions and detailed explanations.
Basic Arithmetic & Number Operations
Master fundamental math operations that form the building blocks for all mathematical computation:
- Basic Operations: Addition, subtraction, multiplication, division with step-by-step solutions.
- Rounding: Round numbers to any precision with multiple rounding modes.
- Scientific Notation: Convert between standard form, scientific notation, and engineering notation.
- Factors & Multiples: Find GCF, LCM, prime factors, and divisibility.
- Number Properties: Calculate roots, exponents, factorials, and absolute values.
- Averages: Compute mean, median, mode, range, and weighted averages.
Fractions & Decimals
Complete fraction and decimal calculators for all operations and conversions:
- Fraction Operations: Add, subtract, multiply, divide fractions with LCD finding and simplification.
- Mixed Numbers: Convert between mixed numbers and improper fractions, perform all operations.
- Decimal Conversions: Convert between decimals, fractions, and percentages including repeating decimals.
- Advanced Fractions: Cross multiplication, unit rates, complex fractions, and radical operations.
- Comparing & Ordering: Compare and order fractions, decimals with number line visualization.
Percentages, Ratios & Grade Calculators
Essential calculators for percentages, ratios, proportions, and academic grade calculations:
- Percentage Calculations: Calculate percentages, percent change, percent error, and conversions.
- Ratios & Proportions: Simplify ratios, solve proportions, scale calculations, and divide in ratios.
- Grade Calculators: GPA, weighted grades, final grades, test scores, and academic calculations.
- Financial Applications: Discounts, markups, margins, tax, tips, and commission calculations.
Algebra Calculators
Comprehensive algebra tools from basic expressions to advanced equations:
- Expressions & Equations: Simplify expressions, combine like terms, distributive property, FOIL method, and solve equations.
- Linear & Quadratic: One-step to multi-step equations, quadratic formula, factoring, completing the square, and vertex form.
- Inequalities: Solve linear, compound, and absolute value inequalities with interval notation.
- Polynomials: Add, subtract, multiply polynomials, long division, synthetic division, and remainder theorem.
- Advanced Topics: Rational expressions, radical equations, exponential and logarithmic functions, and systems of equations.
Geometry Calculators
Complete 2D and 3D geometry calculators with visual diagrams:
- 2D Shapes: Rectangle, square, triangle, circle, polygon calculators with area, perimeter, and diagonal formulas.
- 3D Shapes: Prism, cylinder, cone, sphere, pyramid calculators with volume and surface area.
- Triangles: Pythagorean theorem, law of sines, law of cosines, triangle centers, and congruence/similarity tests.
- Circles: Circumference, arc length, sector area, inscribed angles, chord, and tangent calculations.
- Coordinate Geometry: Distance, midpoint, slope, line equations, and transformations in 2D and 3D.
Trigonometry Calculators
Complete trigonometry tools from basic functions to advanced identities:
- Trig Functions: Sine, cosine, tangent, and their reciprocals with unit circle visualization.
- Inverse Functions: Arcsin, arccos, arctan with domain/range analysis and principal values.
- Identities: Pythagorean, sum/difference, double/half angle, and product-to-sum formulas.
- Equations: Solve trigonometric equations with general solutions.
- Graphing: Amplitude, period, phase shift analysis and sinusoidal function graphing.
Statistics & Probability Calculators
Essential statistics and probability tools for data analysis:
- Descriptive Statistics: Variance, standard deviation, quartiles, percentiles, z-scores, and five-number summary.
- Probability: Permutations, combinations, binomial, normal, and Poisson distributions.
- Regression: Linear regression, correlation coefficient, R-squared, and line of best fit.
Sequences & Linear Algebra
Tools for sequences, series, and matrix operations:
- Sequences: Arithmetic, geometric, Fibonacci sequences with nth term and sum formulas.
- Series: Partial sums, infinite series, convergence tests, and sigma notation.
- Matrices: Matrix operations, determinants, inverse matrices, and eigenvalues.
- Vectors: Vector addition, dot product, cross product, and magnitude calculations.
Key Features
- Step-by-Step Solutions: Every calculator shows detailed working, not just the final answer.
- Real-Time Calculation: Results update instantly as you type - no submit button needed.
- Multiple Methods: Many calculators show different solving approaches.
- Educational Content: Learn the concepts with formulas, examples, tips, and FAQs.
- Visual Aids: Number lines, fraction bars, graphs, and comparison charts help visualize concepts.