Mathematics Calculators — Free Online Tools | TheCalcUniverse

Free Math Calculators

Browse our collection of free online math calculators. Each tool includes the formula, step-by-step instructions, and educational content to help you understand the math behind the numbers. No signup required — just enter your values and get instant results.

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88 calculators

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Area & Perimeter

Calculate area and perimeter for circles, rectangles, triangles, squares, trapezoids, parallelograms, and hexagons.

★ 4.938K uses

Average

Calculate the mean, median, minimum, and maximum from any data set. Paste messy data with dollar signs, commas, or line breaks — the smart parser handles it automatically.

★ 4.939K uses

Basic Calc

A full-featured basic calculator with number pad, history tape, and order-of-operations support. Perfect for quick calculations with a running log.

★ 4.925K uses

Arbitrary Precision

Perform exact arbitrary-precision integer arithmetic using JavaScript BigInt. Add, subtract, multiply, divide, and exponentiate numbers with hundreds or thousands of digits — beyond what standard calculators can handle.

★ 4.910K uses

Binary & Hex

Convert between Decimal, Binary, Hex, and Octal with positional value breakdown. Perform arithmetic and bitwise operations (AND, OR, XOR, NOT, shifts) across all bases.

★ 4.910K uses

Circle

Calculate radius, diameter, circumference, and area of a circle. Input any one measurement — radius, diameter, circumference, or area — to find all others with reverse engineering steps.

★ 4.932K uses

Common Factors

Find all common factors shared by two numbers. Lists every divisor that divides both numbers evenly, with the Greatest Common Factor (GCF) highlighted.

★ 4.931K uses

Confidence Interval

Calculate confidence intervals for a population mean. Breaks out the Margin of Error (MOE), critical Z-value, and standard error. Supports 90%, 95%, and 99% confidence levels.

★ 4.923K uses

Conversion

Convert between hundreds of units across 8 categories: weight, length, temperature, volume, data, speed, area, and currency. The smart base-unit approach handles even complex temperature formulas.

★ 4.910K uses

Date Calculator

Add or subtract years, months, weeks, and days from any date. Includes a business-days-only mode that skips weekends — perfect for project management and legal deadlines.

★ 4.918K uses

Distance

Calculate the distance between two points in 1D, 2D, or 3D space. Shows the distance formula, step-by-step calculation, midpoint, and slope in an interactive format.

★ 4.946K uses

Exponents

Calculate any base raised to any power. Supports positive, negative, and fractional exponents. Shows expanded form and fraction conversion.

★ 4.946K uses

Factors

Find all factors of any positive integer. Outputs a complete factor pairs table, total factor count, sum of factors, and identifies whether the number is prime.

★ 4.932K uses

Fractions

Add, subtract, multiply, and divide fractions with step-by-step solutions. Shows LCM for common denominators and simplifies using GCD.

★ 4.946K uses

Fraction Converter

Convert fractions to decimals, decimals to fractions, and mixed numbers to decimals. Automatically simplifies fractions using GCD.

★ 4.923K uses

Greatest Common Factor

Find the Greatest Common Factor of two numbers using the Euclidean algorithm. Visualizes shared prime factors with a dynamic Venn diagram.

★ 4.911K uses

GDP

Calculate Nominal and Real GDP using the expenditure approach: GDP = C + I + G + (X − M). Includes GDP deflator for inflation-adjusted Real GDP and component share breakdown.

★ 4.911K uses

GPA

Calculate your Grade Point Average from course grades and credits. Includes weighted GPA (AP, Honors, IB), and a Target GPA mode that tells you the grades you need to reach your goal.

★ 4.911K uses

Final Grade

Determine what score you need on your final exam to achieve your target overall grade. Supports any current grade, desired grade, and exam weight combination.

★ 4.925K uses

Half-Life

Solve radioactive decay problems using the half-life formula. Calculate remaining quantity, initial quantity, half-life, or time elapsed with step-by-step solutions.

★ 4.953K uses

Height Predictor

Predict a child's adult height using the Mid-Parental Height (Tanner) method. Shows expected range with medical disclaimer.

★ 4.932K uses

LCM Calculator

Find the Least Common Multiple of two or more numbers. Shows both the List of Multiples method and the Prime Factorization method side by side.

★ 4.911K uses

Log Calculator

Calculate logarithms with any custom base. Shows change of base formula, common log, natural log, and binary log conversions.

★ 4.911K uses

Long Division

Perform long division with the traditional tableau format. Shows each step — divide, multiply, subtract, bring down — just like the classroom method.

★ 4.931K uses

Percentage

Calculate percentages in five different ways: what is X% of Y, X is what percent of Y, percent change, add or subtract a percentage.

★ 4.945K uses

Matrix

Calculate the determinant and inverse of square matrices from 2×2 to 5×5. Shows step-by-step calculation with LaTeX-style formatting for college assignments.

★ 4.932K uses

Mean Median Mode

Calculate the mean, median, mode, and range from any data set. Shows sorted data with step-by-step median calculation for even-numbered datasets.

★ 4.952K uses

Number Sequences

Identify arithmetic, geometric, and Fibonacci sequences. Find common difference, common ratio, nth-term formula, and compute next terms.

★ 4.945K uses

Nth Root

Calculate any nth root — square roots, cube roots, and beyond. Shows both radical form and fractional exponent equivalent with step-by-step verification.

★ 4.946K uses

P-value

Calculate p-values from Z-scores or T-scores with one-tailed or two-tailed tests. Provides an English-language conclusion of statistical significance.

★ 4.939K uses

Percent Error

Calculate percent error between accepted and experimental values. Includes absolute error, signed error, accuracy, and step-by-step solution.

★ 4.931K uses

Permutations & Combos

Calculate permutations (nPr) and combinations (nCr) with step-by-step factorial breakdown. Toggle between order matters vs. does not matter to see the correct formula.

★ 4.951K uses

Prime Factors

Break any number into its prime factors using the Fundamental Theorem of Arithmetic. Includes a visual factor tree showing how the number branches into primes.

★ 4.923K uses

Probability

Calculate P(A and B), P(A or B), P(not A), P(not B), and P(A|B) for independent or mutually exclusive events. Includes SVG Venn diagram and educational explanations.

★ 4.917K uses

Right Triangle

Solve right triangles using the Pythagorean theorem and SOH CAH TOA trigonometry. Find sides, angles, area, and perimeter with a dynamic SVG triangle and step-by-step proof.

★ 4.923K uses

Quadratic Solver

Solve any quadratic equation using the quadratic formula. Shows real and complex roots, discriminant, vertex, and axis of symmetry.

★ 4.916K uses

Random Numbers

Generate cryptographically secure random numbers using Web Crypto API. Customizable range, count, decimal precision, and unique values.

★ 4.924K uses

Ratio

Simplify ratios, find missing values in proportions, and scale dimensions. Includes common aspect ratio presets (16:9, 4:3, 1:1, 21:9) for digital designers and developers.

★ 4.925K uses

Rounding

Round numbers to the nearest ten, hundred, tenth, hundredth, and more. Visual number line shows exactly why the number rounds up or down with step-by-step explanation.

★ 4.946K uses

Sample Size

Determine the ideal sample size for surveys and research studies. Adjust for population size, confidence level, and margin of error.

★ 4.917K uses

Scientific Calc

Full-featured scientific calculator with trigonometric functions, logarithms, memory operations, and calculation history.

★ 4.910K uses

Sci Notation

Convert between decimal and scientific notation. Learn how the decimal point jumps left or right with an interactive movement visualization.

★ 4.923K uses

Slope

Find the slope between two points. Outputs slope, line equation in slope-intercept, point-slope, and standard forms with interactive graph.

★ 4.925K uses

Standard Deviation

Calculate standard deviation, variance, mean, median, and range from a data set. Supports both sample and population standard deviation.

★ 4.916K uses

Statistics

Comprehensive descriptive statistics with a dynamic box-and-whisker plot. Computes mean, quartiles, IQR, standard deviation, variance, and highlights mathematical outliers.

★ 4.910K uses

Time & Hours

Calculate time differences between start and end times, deduct breaks, and compute gross pay. Automatically handles overnight shifts and shows both decimal and HH:MM formats.

★ 4.918K uses

Time Card

Track weekly work hours with day-by-day entries. Calculates regular and overtime hours, handles 12hr/24hr time formats, overnight shifts, and optional pay rate for gross pay estimation.

★ 4.953K uses

Time Zone

Convert time between 24 time zones worldwide with business hours overlay. Green-yellow-gray color-coded grid shows the best meeting times across multiple regions at a glance.

★ 4.953K uses

Triangle Solver

Solve any triangle using SSS, SAS, or ASA input modes. Computes all sides, angles, area, and perimeter with dynamic SVG visualization.

★ 4.946K uses

Volume & Surface Area

Calculate volume and surface area of spheres, cubes, rectangular prisms, cylinders, cones, and pyramids. Includes shape net visualizations that show each 3D shape unfolded.

★ 4.938K uses

Z-Score

Calculate the Z-score from a raw score, population mean, and standard deviation. Visualizes the result on a standard normal distribution curve with shaded probability area.

★ 4.939K uses

Roman Numerals

Convert numbers to Roman numerals and back, including date conversion. Features subtractive notation breakdown and tattoo verification.

★ 4.924K uses

Density

Calculate density, mass, or volume using the density formula ρ = m/V. Includes unit conversion between g/cm³, kg/m³, and lbs/ft³ with step-by-step solutions.

★ 4.939K uses

Mass

Calculate mass, density, or volume using m = ρ × V. Shows planetary weight comparison on Earth, Moon, Mars, and Jupiter with unit conversions.

★ 4.918K uses

Weight

Calculate weight, mass, or gravitational acceleration using W = mg. Shows planetary weight comparison and human weight conversion.

★ 4.932K uses

Speed

Calculate speed, distance, or time using S = D/T. Converts between mph, km/h, m/s, and knots. Includes pace conversion (min/mile, min/km) and speed comparisons.

★ 4.925K uses

Molarity

Calculate molarity, mass, or volume of chemical solutions. Features compound auto-detection with built-in molecular weight database and step-by-step solutions.

★ 4.946K uses

Mol Weight

Calculate the molecular weight of any chemical formula. Supports parentheses, hydrates, and Unicode subscripts. Shows element breakdown with mass percentage composition.

★ 4.952K uses

Time Duration

Calculate the exact duration between two dates and times. Supports business days mode and multiple output formats for project management and payroll.

★ 4.931K uses

Day Counter

Count the exact number of days between two dates. Includes business days mode, end-date inclusion toggle, and breakdown into years, months, and days.

★ 4.917K uses

Day of Week

Find the day of the week for any date using Zeller's congruence. Features a perpetual calendar algorithm explanation and historical context.

★ 4.917K uses

pH Calculator

Calculate pH from hydrogen ion concentration, convert between pH and pOH, and classify solutions as acidic, basic, or neutral. Essential for chemistry students and lab work.

★ 4.939K uses

Correlation

Calculate the Pearson correlation coefficient between two variables. Shows r, r², strength, and direction with step-by-step work.

★ 4.917K uses

Descriptive Stats

Compute key descriptive statistics for any dataset: mean, median, mode, range, variance, standard deviation, quartiles, and IQR.

★ 4.932K uses

Equation Solver

Solve linear (ax + b = 0) and quadratic (ax² + bx + c = 0) equations instantly. Shows discriminant, roots, and step-by-step solutions.

★ 4.918K uses

System Solver

Solve systems of two linear equations with two variables using Cramer's rule. Get step-by-step solutions with unique, infinite, or no solution cases.

★ 4.946K uses

Base Converter

Convert numbers between any two bases from binary (base 2) to base 36. Supports hexadecimal, octal, binary, and all custom bases.

★ 4.911K uses

Derivative Calc

Compute derivatives of polynomial expressions using the power rule. Get step-by-step differentiation and evaluate at any point.

★ 4.910K uses

Trig Calculator

Calculate sine, cosine, tangent and their reciprocals for any angle. Also find angles from trig values with reference angles.

★ 4.924K uses

Unit Circle

Explore the unit circle by entering any angle. See coordinates, trigonometric values, reference angles, and the quadrant instantly.

★ 4.940K uses

Factoring Calc

Factor quadratic polynomials (ax² + bx + c) into their factored form with step-by-step work. Find the factors and zeros of any quadratic expression.

★ 4.953K uses

Polynomial Calc

Evaluate polynomials at any point, see the degree, and get step-by-step substitution work. Enter coefficients for polynomials of any degree.

★ 4.910K uses

Prime Checker

Check if any number is prime, find its prime factors, and get the divisor count. Supports numbers up to 10 million.

★ 4.947K uses

Factorial

Calculate the factorial of any number from 0 to 170. Shows the step-by-step multiplication, digit count, and trailing zeros.

★ 4.953K uses

Fibonacci

Calculate the nth Fibonacci number, view the full sequence, and get the sum. Uses iteration and Binet's formula for verification.

★ 4.926K uses

Law of Sines

Apply the law of sines to solve triangles. Enter known side-angle pairs to find missing sides, angles, and the circumradius.

★ 4.947K uses

Law of Cosines

Solve triangles using the law of cosines. Find missing sides (SSS) or angles (SAS) with step-by-step work.

★ 4.911K uses

Inverse Trig

Compute inverse trigonometric functions: arcsin, arccos, and arctan. Get results in degrees and radians with the principal value.

★ 4.947K uses

Integral Calc

Calculate definite integrals numerically using Simpson's rule. Supports polynomial, trigonometric, and exponential expressions.

★ 4.946K uses

Limit Calc

Compute limits of functions as x approaches any value. Evaluate left-hand, right-hand, and two-sided limits with approach tables.

★ 4.925K uses

Series Sum

Sum mathematical series from any start to end value. Supports expressions with n, exponents, and common mathematical functions.

★ 4.955K uses

Taylor Series

Compute Taylor series expansions of functions like e^x, sin(x), cos(x) around any center with customizable order.

★ 4.954K uses

Vector Calc

Compute vector operations including addition, subtraction, dot product, cross product, magnitudes, and the angle between vectors in 2D or 3D.

★ 4.932K uses

Cross Product

Compute the cross product of two 3D vectors. Shows the resulting vector, magnitude, unit vector, and area of the parallelogram.

★ 4.954K uses

Dot Product

Calculate the dot product of two vectors, the angle between them, and determine if they are orthogonal. Supports 2D and 3D vectors.

★ 4.940K uses

Proportion Solver

Solve proportion equations a/b = c/d for any missing value. Enter three known values and find the fourth using cross-multiplication.

★ 4.910K uses

Common Denominator

Find the least common denominator (LCD) for fractions and convert each fraction to its equivalent with the common denominator.

★ 4.939K uses

Test Score

Calculate what grade you need on your final exam to achieve your target overall grade. Handles weighted grading systems with impossible target detection.

★ 4.910K uses

About Mathematics Calculators

From basic arithmetic to advanced algebra, geometry, statistics, and unit conversions, our math calculators handle it all. Every tool includes step-by-step formulas and visual diagrams to help you understand the math behind the numbers.

Browse our curated collection of mathematics calculators below. Each tool includes detailed formulas, educational content, and real-time results. Use the 88 calculators in this category to make informed decisions, solve problems, and get accurate answers instantly.

88+ calculators covering algebra, geometry, and statistics

Volume and surface area calculators for 3D shapes

Scientific notation, unit conversions, and matrix operations

Step-by-step formula explanations with visual diagrams

Frequently Asked Questions

Can these calculators handle negative numbers and decimals?

Yes, every calculator supports negative values, decimals, and scientific notation. The rounding calculator also lets you control how many decimal places appear in results.

Do I need an account to use them?

No account, no signup, no limits. Just enter your numbers and get results instantly — completely free.

Do the calculators show the steps?

Most calculators show the full work, including the formulas and intermediate calculations. The quadratic solver, factoring calculator, and derivative calculator are especially thorough about step-by-step solutions.

How do I calculate the slope of a line?

Slope is the change in y divided by the change in x between two points: (y₂ - y₁) / (x₂ - x₁). Our slope calculator does this instantly and shows the line on a graph with the intercept labeled.