Math Calculators

Math tools for percentages, fractions, algebra, geometry, and number theory. Reliable calculations with step-by-step explanations.

70 calculators available

Basic Math

Average Calculator

Calculate the arithmetic mean of up to four numbers.

Basic Calculator

Perform basic arithmetic — add, subtract, multiply, or divide two numbers.

Final Grade Calculator

Calculate the final exam score needed to achieve your target course grade.

Long Division Calculator

Perform long division with quotient, remainder, and decimal result.

Modulo Calculator

Calculate the remainder of division with quotient and divisibility check.

Number Sequence Calculator

Generate arithmetic and geometric sequence terms, find the nth term, and calculate sums.

Percentage Calculator

Calculate percentages instantly — find what percent of a number is.

Percentage Change Calculator

Calculate the percentage change between two values.

Root Calculator

Calculate square roots, cube roots, and nth roots of any positive number.

Speed Distance Time Calculator

Calculate speed, distance, or time using the fundamental motion equation.

Unit Rate Calculator

Calculate the unit rate and price per unit for comparison shopping and rate analysis.

Fractions & Ratios

Fractions Calculator

Add, subtract, multiply, and divide fractions and see the result as decimal and fraction.

Decimal to Fraction Calculator

Convert a decimal number to a fraction approximation.

Algebra

Absolute Difference Calculator

Calculate the absolute and signed difference between two numbers. Find the distance between any two values instantly.

Absolute Value Calculator

Calculate the absolute value of any number. Determine whether a number is negative and find its magnitude instantly.

Completing the Square Calculator

Convert ax² + bx + c into vertex form a(x − h)² + k. Find the vertex coordinates by completing the square.

Cube Calculator

Calculate the cube (x³) and cube root (∛x) of any number. Compute cubes and cube roots instantly with this free calculator.

Difference of Squares Calculator

Factor and evaluate a² − b² using the identity (a + b)(a − b). See each squared term and both factors instantly.

Exponents Calculator

Calculate the result of raising a base to any exponent. Compute powers quickly with this free exponents calculator.

FOIL Method Calculator

Multiply two binomials (a+b)(c+d) using FOIL — First, Outer, Inner, Last. See each step and the final product.

Fraction Exponents Calculator

Evaluate x^(a/b) — a base raised to a fractional exponent. See the decimal exponent and computed result instantly.

Large Exponents Calculator

Compute base^exponent for large powers. See the result and the number of digits in the answer.

Percent Error Calculator

Calculate the percent error between an experimental and theoretical value. Find the absolute and relative error instantly.

Quadratic Formula Calculator

Solve quadratic equations ax² + bx + c = 0 using the quadratic formula. Find roots, discriminant, and vertex instantly.

Solve for Exponents Calculator

Find the exponent n in x^n = y. Uses logarithms to solve n = ln(y)/ln(x) with verification.

Square Calculator

Calculate the square (x²) and square root (√x) of any number. Enter a value to see both results instantly.

Number Theory

Common Factors Calculator

Explore the arithmetic relationship between two numbers — product, sum, difference.

Diamond Problem Calculator

Solve diamond problems — find two numbers given their product and sum.

Factorial Calculator

Calculate the factorial (n!) of any integer from 0 to 20.

Binary Calculator

Convert between decimal and binary numbers and explore binary properties.

Greatest Common Factor Calculator

Find the greatest common factor (GCF) of two numbers.

Least Common Multiple Calculator

Calculate the least common multiple (LCM) of two numbers.

Multiples Calculator

Find the first several multiples of a number and check if a target is a multiple.

Permutation & Combination Calculator

Calculate permutations (nPr) and combinations (nCr) for counting problems.

Prime Factorization Calculator

Analyze the prime factor properties of any integer from 2 to 10,000.

Discrete Mathematics

Circular Permutation Calculator

Calculate the number of ways to arrange objects in a circle using (n−1)!.

Combination with Replacement Calculator

Find combinations with replacement using the multiset coefficient C(n+r−1, r).

Even Permutations Calculator

Calculate the size of the alternating group A_n = n!/2.

Fibonacci Calculator

Compute the nth Fibonacci number using Binet's closed-form formula.

Odd Permutations Calculator

Count odd permutations in the symmetric group S_n — the coset of A_n.

Permutation with Replacement Calculator

Calculate ordered sequences with repetition using n^r.

Geometry

Aspect Ratio Calculator

Calculate and simplify aspect ratios for screens and images.

Circle Calculator

Calculate circle properties — area, circumference, and diameter from radius.

PPI Calculator

Calculate pixels per inch for any screen or display resolution.

Pythagorean Theorem Calculator

Calculate the missing side of a right triangle using a² + b² = c².

Right Triangle Calculator

Calculate the hypotenuse, area, and perimeter of a right triangle.

Slope Calculator

Calculate the slope, rise, run, and distance between two points.

Surface Area Calculator

Calculate the surface area of common 3D shapes: cube, prism, sphere, cylinder.

Triangle Calculator

Calculate triangle area, perimeter, height, and inradius from three side lengths using Heron's formula.

Golden Ratio Calculator

Calculate golden ratio proportions, segments, and golden rectangle dimensions.

Trigonometry

Inverse Trigonometry Calculator

Calculate inverse trigonometric functions (arcsin, arccos, arctan) and convert between degrees and radians.

Trigonometry Calculator

Calculate sine, cosine, tangent, and other trigonometric functions for any angle.

Statistics

Mean, Median, Mode, Range Calculator

Calculate the mean (average) and range of up to 5 numbers.

Standard Deviation Calculator

Calculate the population standard deviation, variance, and mean.

Statistics Calculator

Calculate basic statistics for up to 5 values including mean, sum, range.

Z-Score Calculator

Calculate the z-score (standard score) for a value given mean and standard deviation.

Confidence Interval Calculator

Calculate the confidence interval for a population mean using sample statistics.

P-Value Calculator

Calculate the p-value from a z-score or test statistic for hypothesis testing.

Probability Calculator

Calculate basic probability, odds, and expected outcomes for single events.

Sample Size Calculator

Calculate the required sample size for surveys and studies.

Conversions

Bandwidth Calculator

Calculate network bandwidth from file size and transfer time.

Decimal to Time Calculator

Convert decimal hours to hours, minutes, and seconds.

Density Conversion Calculator

Convert between density, mass, and volume with automatic unit conversions.

Half-Life Calculator

Calculate radioactive decay, remaining quantity, and elapsed half-lives.

Logarithm Calculator

Calculate logarithms in any base — common, natural, binary, and custom.

Scientific Notation Calculator

Convert between scientific notation and standard form.

Games & Probability

Draft Pick Value Calculator

Estimate NFL draft pick trade value using the Jimmy Johnson chart.

Odds Calculator

Convert between probability and odds formats including American moneyline.

Poker Hands Calculator

Find the probability and odds of any standard poker hand rank.

Which calculator do you need?

Precision Math Tools

Our math calculators use arbitrary-precision arithmetic powered by Decimal.js, ensuring that results are accurate to the last digit. Unlike basic browser calculators that suffer from floating-point errors, CalculatorChef provides reliable results for both simple and complex mathematical operations.

Practical Applications of Math Calculators

These tools go beyond homework help — percentages are essential for calculating discounts and tax, ratios come up in cooking and mixing, and geometry formulas are used daily in construction, crafting, and design. Each calculator includes step-by-step workings so you can learn the method, not just get the answer.