Math Tools
Advanced math calculators covering logarithms, roots, powers, fractions, percentages, variance, and more complex calculations.
Percentage Calculator
Free online percentage calculator. Calculate percentages, find percent of numbers, percentage change, and convert between percent, fraction, and decimal.
Variance & Standard Deviation Calculator
Calculate variance and standard deviation
Fraction Calculator
Precise calculation in fraction form
Nth Power Calculator
Calculate the nth power of any number
Root Calculator
Calculate square root/cube root/nth root
Logarithm Calculator
Calculate logarithm values with any base
Percentage Change Calculator
Calculate growth rate and rate of change online
Percentage Difference Calculator
Calculate the percentage difference between two values
Percentage Calculator
Quickly calculate percentage values, percentage increase/decrease results
Percentage Decrease Calculator
Calculate the result after decreasing a value by a specific percentage, automatically computing the decrease amount and final value
Percentage Increase Calculator
Calculate the result after increasing the original value by a specified percentage, automatically computing the increase amount and final value
Percentage Growth Calculator
Calculate the growth amount and growth rate from the original value to the new value, automatically determining growth/decline type with detailed calculation steps
Percentage to Fraction Calculator
Quickly convert percentages to simplified fractions and decimal forms, supporting integer percentages and decimal percentages (e.g., 37.5%), automatically simplifying numerator and denominator with detailed conversion steps
Ratio Calculator
Quickly calculate the ratio relationship between two numbers, automatically finding the greatest common divisor to obtain the simplest integer ratio, supporting integers and decimals with precise ratio values and detailed calculation steps
Standard Deviation Calculator
Quickly calculate the standard deviation, mean, and variance of a data set, measuring data dispersion. Supports sample standard deviation and population standard deviation, suitable for statistical analysis, quality control, and investment risk assessment
Standard Form Calculator
Quickly convert any number to standard form, scientific notation, and engineering notation. Supports regular numbers and e-notation input, providing detailed conversion results and comparison of the three notation types
Tank Volume Calculator
Quickly calculate the total volume of cylindrical, spherical, and rectangular tanks. Automatically converts between cubic meters, liters, and gallons. Suitable for oil tank, water tank, and chemical container volume estimation scenarios
Derivative Calculator
Calculate function derivatives at specific points using numerical methods. Supports precise differentiation of power, trigonometric, exponential, and logarithmic functions. Provides function values and derivative results with differentiation rule explanations
Reciprocal Calculator
Quickly calculate the reciprocal of any non-zero number. Supports positive/negative numbers, integers, and decimals. Provides product verification and detailed calculation steps to help understand reciprocal mathematical properties
Equivalent Fractions Calculator
Quickly calculate equivalent forms of fractions. Supports positive/negative fractions, mixed numbers, integers, proper and improper fractions. Provides decimal representation and lists of equivalent fractions to help understand proportional relationships and fraction reduction principles
Harmonic Mean Calculator
Quickly calculate the harmonic mean of a set of positive numbers. Commonly used for average speed, parallel resistance, average rate calculations. Supports comma-separated input, automatically filters invalid data, and provides detailed calculation steps with formula explanations
Kinetic Energy Calculator
Quickly calculate kinetic energy, mass, or velocity using the KE = ½mv² formula. Supports three calculation modes with detailed steps and physics principle explanations. Suitable for physics education, engineering mechanics, and motion analysis scenarios
Logarithm Calculator
Quickly calculate common logarithms (base 10), natural logarithms (base e), and logarithms with any positive base. Supports custom base selection, results accurate to 10 decimal places, with detailed calculation steps and logarithm property explanations. Suitable for mathematics, science, engineering, and financial calculations
Quadratic Equation Calculator
Online solver for quadratic equations ax² + bx + c = 0. Supports real and complex roots, automatically calculates discriminant Δ and provides detailed solution steps. Suitable for math learning, physics problems, engineering design, and financial analysis scenarios
Fraction Addition Calculator
Online fraction addition and subtraction calculator. Supports adding or subtracting multiple fractions, automatic common denominator and reduction with decimal results. Suitable for student math learning, recipe adjustment, woodworking measurements, and financial ratio calculations
Binary Calculator
Online binary calculator supporting binary-decimal conversion, binary addition, subtraction, multiplication, and division operations. Provides detailed calculation steps and result analysis. Suitable for programming learning, network configuration, computer organization principles, and bit operation optimization scenarios
Inverse Trig Calculator
Online calculator for arcsin/arccos/arctan, supports angle and radian units
Variance Calculator
Online calculator for sample/population variance, standard deviation, and coefficient of variation
Fraction Calculator
Online fraction addition, subtraction, multiplication, and division with auto-simplification and decimal conversion
Fraction to Percentage Calculator
Quickly convert fractions to percentages and decimals with simplification tips
Fraction to Decimal Calculator
Convert fractions to decimals and percentages, supports custom decimal places
Complex Number Calculator
Online complex number addition, subtraction, multiplication, and division with automatic modulus and argument calculation
Probability Calculator
Online permutation, combination, and classical probability calculation with detailed step-by-step explanation
Pythagorean Theorem Calculator
Quickly calculate the side lengths of a right triangle based on a²+b²=c²
Mixed Number Calculator
Mixed number addition, subtraction, multiplication, and division, with conversion to mixed fractions and decimals
Concrete Calculator
Quickly calculate the mix ratio of cement, sand, gravel, and water
Definite Integral Calculator
Free definite integral calculator using numerical integration methods. Supports power functions, trigonometric functions, exponential functions and more, with detailed calculation steps and result analysis. Ideal for math learning, scientific research, and engineering design.
Geometric Mean Calculator
Free geometric mean calculator for quickly computing the geometric mean of a set of positive numbers. Suitable for average growth rate, investment return, and data analysis. Supports batch input, auto-filters invalid data, and provides detailed steps and result interpretation.
Simplify Fractions Calculator
Free fraction simplifier supporting proper and improper fractions, with automatic conversion to mixed numbers and decimals. Quickly computes GCD and provides detailed simplification steps. Useful for math learning, engineering calculations, and financial analysis.
Factorial Calculator
Free online factorial calculator for quickly computing factorials of integers from 0 to 20, with detailed steps and results. Supports combinatorics, probability analysis, and algorithm design.
Matrix Calculator
Free matrix calculator supporting addition, subtraction, and multiplication. Input matrices of any dimensions (e.g. 2x2, 3x3), auto-parses format and validates dimension compatibility. Features clear table results and error prompts. Ideal for linear algebra, engineering calculations, and data transformation. Ctrl+Enter shortcut supported.
Matrix Operation Calculator 2
Free 2x2 matrix operation calculator supporting addition, subtraction, and multiplication. Quickly computes matrix sums, differences, and products with real numbers. Suitable for linear algebra, engineering, and data science. Real-time results with a clean interface.
Distance Formula Calculator (2D Plane)
Free distance formula calculator based on the Euclidean distance formula √[(x₂-x₁)²+(y₂-y₁)²]. Supports decimal and negative coordinates, shows Δx, Δy, and complete derivation steps. Perfect for geometry, game development, computer graphics, data science, and engineering measurement.
Scientific Notation Converter
Online scientific notation conversion tool. Converts numbers to scientific notation, e-notation, engineering notation, and standard form, automatically identifying magnitude. Supports extremely large and tiny numbers.
Scientific Calculator
Free online scientific calculator with basic operations, trigonometric functions (sin/cos/tan), inverse trig, logarithms (ln/log), exponentiation (e^x/x^y), square roots and more. Supports continuous complex expressions. Great for math, engineering, and physics.
Scientific Notation Calculator
Free scientific notation calculator supporting addition, subtraction, multiplication, and division. Auto-converts results to scientific notation, e-notation, and standard form. Handles extreme values with expression display and detailed steps. Ideal for research, engineering, physics, chemistry, and programming.
Cube Root Calculator
Calculate cube roots of positive, negative, decimal numbers and zero with precision
Cubic Yard Calculator
Convert and calculate volumes in cubic yards, cubic feet, and cubic meters
Roman Numeral Converter
Bidirectional conversion between Arabic numerals and Roman numerals
Meters to Feet Converter
Accurate length conversion between meters, feet, and inches
Density Calculator
Calculate density, mass, and volume using the ρ=m/V formula
Power Calculation Calculator
Compute powers with integer and fractional exponents
Area Calculator
Calculate area of rectangles, circles, triangles, trapezoids and more
Permutation & Combination Calculator
Calculate permutations P(n,k) and combinations C(n,k)
Square Root Calculator
Compute square roots of any non-negative number with verification
Square Feet Calculator
Calculate area in square feet and convert to square meters
Average Calculator
Online arithmetic, geometric, and harmonic mean calculator
Mean Median Mode Range Calculator
Online statistical data analysis tool
Modulo Calculator
Online remainder calculator
Trigonometric Calculator
Online sine, cosine, and tangent calculator
Triangle Calculator
Online geometry calculator for sides, angles, and area
Hex Calculator
Online hexadecimal addition, subtraction, multiplication, and division tool
Equation Solver
PEMDAS online calculator
Rounding Calculator
Online number rounding tool
Speed Calculator
Online speed and rate calculator
Arithmetic and Geometric Sequence Calculator
Online sequence generator and summation tool
Random Number Generator
Online random number generation tool
Taylor Series Calculator
Online function expansion and approximation tool
Volume Calculator
Online geometric volume calculator
Vector Calculator
Online vector operation tool
Decimal to Percent Calculator
Online decimal to percentage converter
Decimal to Fraction Calculator
Online decimal to fraction converter
Slope Calculator · Online Line Slope & Equation Solver | Calculate Inclination & Distance from Two Points
Calculate line slope, angle & distance from two points quickly.
Sequence Calculator · Online Arithmetic & Geometric Sequence Tool
Find nth term & sum of arithmetic/geometric sequences easily.
Prime Factorization Calculator · Online Prime Factor Decomposition Tool | Math & Number Theory
Decompose positive integers into prime factors step by step.
Significant Figures Calculator · Online Significant Digits Counter | Scientific Notation & Numerical Analysis
Count significant digits of any number automatically.
Significant Figures Calculator · Online Sig Fig Recognition & Rounding Tool | Scientific Notation & Data Analysis
Round numbers to specified significant figures with steps.
Circle Calculator · Online Circle Area, Circumference & Diameter Tool
Compute circle diameter, circumference & area from radius.
Cylinder Volume Calculator · Online Cylinder Volume & Surface Area Tool | Geometry Measurement
Calculate cylinder volume, lateral & total surface area.
Percentage Calculator · Online Percent Calculator | Discount, Tax & Data Analysis Tool
Find percentage of a number for discounts, tips & tax.
Long Division Calculator · Online Division with Remainder | Step-by-Step Solver
Perform long division with remainder and decimal result.
Feet and Inches Calculator · Online Imperial Length Conversion | Feet/Inches to cm/m
Convert feet/inches to cm/m and vice versa instantly.
Integer Calculator · Online Rounding Tool | Floor, Ceil, Round
Free online integer calculator supporting Floor, Ceil, and Round rounding methods. Ideal for financial calculations, data analysis, and more.
Normal Distribution Calculator · Online Z-Score & Probability Tool
Free online normal distribution calculator. Enter mean, standard deviation, and X value to compute Z-score, cumulative probability, and central interval probability. Essential for statistical analysis.
Right Triangle Calculator · Online Pythagorean Theorem Solver | Side, Angle, Area
Online right triangle calculator based on the Pythagorean theorem. Enter any two sides to solve for remaining sides, acute angles, and area. Perfect for math learning and engineering design.
Exponent Calculator · Online Power & Scientific Computation Tool
Online exponentiation calculator supporting arbitrary base and exponent. Explains the difference between power functions and exponential functions with scientific notation. Master exponent operations.
Exponential Growth Calculator · Online Continuous Compounding, Population Growth & Decay
Free online exponential growth calculator based on the continuous compounding formula A = P·e^(rt). Supports compound interest, population forecasting, radioactive decay, and more. Computes final value and growth factor in real time.
Prime Factorization Calculator · Online Prime Factor Decomposition Tool
Free online prime factorization calculator. Decompose numbers into products of primes with exponential form and divisor count. Uses trial division for fast, accurate results.
Median Calculator · Online Mean, Median & Mode Tool
Free online median calculator. Enter numbers to compute median, mean, and mode. Understand central tendency of data. Ideal for academic research and data analysis.
GCD Calculator · Online Greatest Common Divisor Tool | Step-by-Step
Free online greatest common divisor calculator supporting multiple numbers. Shows calculation steps and divisor lists. Based on Euclidean algorithm. Perfect for fraction reduction and number theory learning.
GCD & LCM Calculator · Online Greatest Common Divisor and Least Common Multiple | Euclidean Algorithm
Free online greatest common divisor calculator supporting multiple positive integers for GCD and LCM. Uses Euclidean algorithm. Suitable for fraction simplification and math teaching.
LCM Calculator · Online Least Common Multiple Tool for Multiple Numbers
Free online least common multiple calculator supporting batch input of multiple numbers. Displays both LCM and GCD results. Based on Euclidean algorithm. Ideal for fraction common denominators, period calculations, and more.
Least Common Denominator Calculator · Online LCD Calculator | Fraction Common Denominator Tool
Free online least common denominator calculator supporting batch input of denominators. Uses Euclidean algorithm to quickly calculate LCD. Ideal for fraction common denominator and addition/subtraction operations with unlike denominators.
Nth Root Calculator · Online High-Precision Radical Calculator
Free online Nth root calculator supporting calculation of any real number's positive integer root, including square root, cube root, and higher roots. Includes verification feature to ensure calculation accuracy.
Percentile Calculator · Online Percentile Value Calculator | Data Analysis & Statistics Tool
Free online percentile calculator supporting precise calculation of 1st-99th percentiles for any dataset. Uses linear interpolation method with automatic sorting.
Standard Deviation Calculator · Online Variance & Dispersion Analysis Tool
Free online standard deviation calculator supporting both sample and population standard deviation. Simultaneously calculates mean, median, and variance. Suitable for statistical analysis.
Probability Calculator · Online Event Probability Tool | Success Rate & Statistical Analysis
Free online probability calculator for quickly computing event success probability, failure probability, and odds ratio. Supports success count and total trials input. Suitable for game drop rates, risk assessment, and more.
Regression Analysis Calculator · Online Linear Regression Equation Tool | Correlation Coefficient & Statistical Indicators
Free regression analysis calculator for quickly computing linear regression equations, slope, and intercept. Obtains correlation coefficient and coefficient of determination. Supports multiple data points to help analyze linear relationships between variables.
Permutation Calculator · Online Permutation & Combination Calculator | Factorial & Combination Tool
Free online permutation and combination calculator for quickly calculating permutations P(n,k), combinations C(n,k), and factorials n! with detailed step-by-step display.
Frequency Distribution Calculator · Online Data Frequency Statistics Tool | Frequency & Relative Frequency Analysis
Free online frequency distribution calculator for quickly computing data frequency and relative frequency percentages. Supports batch input with automatic sorting to generate distribution tables.
Average Calculator · Online Mean/Median/Mode Calculator | Multi-Number Statistical Analysis
Free online average calculator for quickly computing mean, median, and mode of a set of numbers. Supports comma and space separated input. Provides accurate central tendency analysis.
Mean, Median, Mode Calculator · Online Statistical Data Analysis Tool
Free online statistical calculator for quickly computing the mean, median, and mode of a dataset. Supports range and total analysis.
Quartile Calculator · Online Statistical Data Analysis Tool | Median & IQR Calculation
Free online quartile calculator for quickly calculating Q1, median, Q3, and interquartile range (IQR). Supports batch data input with automatic sorting and provides detailed calculation steps.
Correlation Coefficient Calculator · Online Pearson Correlation Tool | Data Correlation Analysis
Free online correlation coefficient calculator for quickly computing the Pearson correlation coefficient and coefficient of determination for two datasets. Automatically determines correlation strength.
Sample Size Calculator · Online Statistical Estimation Tool | Survey & Experiment Design Assistant
Free online sample size calculator supporting 90%/95%/99% confidence levels and custom margin of error. Features finite population correction, suitable for market research and clinical trials.
Z-Score Calculator · Online Standard Score Calculator | Normal Distribution Probability & Data Analysis Tool
Free Z-score calculator for quickly computing standard scores and normal distribution cumulative probabilities. Supports automatic deviation level detection with detailed calculation steps.
Concentration Calculator · Online Solution Concentration Tool | Mass Fraction & Percentage Conversion
Free online concentration calculator for quickly computing solution mass fraction and percentage concentration. Supports chemistry experiment preparation and reagent analysis.
Force Calculator · Online Newton's Second Law Calculator | Force, Mass & Acceleration Conversion Tool
Based on Newton's second law, enter any two values to automatically calculate force, mass, or acceleration. Provides accurate mechanics conversions.
About Math Tools Tools
Math Tools is a collection of mathematical calculation and problem-solving tools, featuring over a hundred professional calculators covering a wide range of needs from basic arithmetic to advanced mathematics, statistics, physics, and engineering calculations. The Percentage Calculator series includes over ten tools such as percentage calculation, percentage change, difference, increase, decrease, growth rate, and percent-to-fraction conversion, quickly solving practical problems like discounts, tax rates, and growth rates. The Fraction Calculator series supports fraction addition, subtraction, multiplication, division, simplification, equivalent fractions, mixed numbers, fraction-to-decimal, fraction-to-percent, and more, automatically finding common denominators and simplifying, providing decimal results, suitable for student learning and engineering calculations.
The Statistics Calculator series includes variance, standard deviation, mean, median, mode, range, quartiles, percentiles, correlation coefficient, regression analysis, normal distribution, Z-score, sample size calculation, frequency distribution, geometric mean, harmonic mean, and more. It supports batch data input, automatic sorting and calculation, and provides detailed steps and result explanations, widely used in data analysis, quality control, and academic research.
Algebra and calculus tools include quadratic equation solvers, general equation solvers, derivative calculators, definite integral calculators, matrix calculators (addition/subtraction/multiplication), vector calculators, complex number calculators, factorials, permutations and combinations, power operations, root calculations, logarithm calculations, exponent calculations, scientific notation conversion and calculation, and more. These tools support complex expression input and display calculation processes in real time, helping users understand mathematical principles.
Geometry and measurement tools include circle calculator, triangle calculator, right triangle calculator, cylinder volume calculator, area calculator, volume calculator, Pythagorean theorem calculator, distance formula calculator, slope calculator, tank volume calculator, concrete mix ratio calculator, density calculator, force calculator, kinetic energy calculator, and more, suitable for geometry learning, engineering design, and physics calculations.
Additionally, there are base converters (binary, hexadecimal), Roman numeral converter, random number generator, prime factorization, greatest common divisor, least common multiple, least common denominator, modulo operation, significant figures calculation, rounding, long division, feet/inches conversion, sequence calculator, Taylor series, integer rounding, scientific calculator, and many other practical tools. All math tools run locally in the browser, require no registration, respond quickly, and are suitable for students, teachers, engineers, and researchers.