Mathematics Calculators

Algebra, geometry, powers and number theory

Percentage Calculator Every common percentage question in one place — of, change, and reverse. Geometry Calculator Area, perimeter, volume and surface area for common 2D shapes and 3D solids. Ratio Calculator Simplify ratios, scale them, and solve proportions for a missing term. GPA Calculator Credit-weighted grade point average on the standard 4.0 scale. Number Base Converter Convert between binary, octal, decimal and hexadecimal. Scientific Calculator A full expression calculator with functions, constants and precedence. Fraction Calculator Add, subtract, multiply and divide fractions, with the result in lowest terms. LCM & GCD Calculator Lowest common multiple and greatest common divisor for any list of whole numbers. Quadratic Equation Solver Roots, discriminant and vertex for ax² + bx + c = 0, including complex roots. Roman Numeral Converter Numbers to Roman numerals and back, with the rules that make one valid. Number to Words Converter Write any number out in words, in the international or Indian numbering system. Exponent Calculator Raises any base to any power, including negative and fractional exponents, and shows the working. Square Root Calculator Square roots, cube roots and any nth root, with the exact value when the root is a whole number. Logarithm Calculator Logarithms to base 10, base e, base 2 or any base you choose, with the change-of-base working. Scientific Notation Converter Converts between ordinary numbers and scientific, engineering and E notation. Weighted Average Calculator Averages values that do not count equally — grades by credit, prices by quantity, scores by weight. Proportion Calculator Solves a : b = c : d for whichever term you leave blank, by cross-multiplication. Significant Figures Calculator Counts the significant figures in a number and rounds it to as many as you need. Trigonometry Calculator All six trigonometric ratios for an angle, the inverse functions, and a full right-triangle solver. Percent to Fraction Converter Converts between percentages, fractions and decimals, in every direction, in lowest terms.

From arithmetic to algebra

The tools here divide by what you are holding. If you have concrete numbers and want one back, the percentage, fraction, ratio and root calculators do it directly and show the working, which is usually the part that matters when you are checking homework rather than just needing an answer. The scientific calculator takes a whole expression with proper operator precedence, so you can type the problem the way it is written rather than decomposing it into steps.

If you have an unknown, the algebra tools solve for it. The quadratic solver returns roots, discriminant and vertex together, because the discriminant is what tells you in advance whether the roots are real, repeated or complex. The proportion calculator solves a : b = c : d for whichever term you leave blank — the cross-multiplication that underlies scaling recipes, map distances and unit rates alike.

Number theory, notation and shapes

Lowest common multiple and greatest common divisor sit behind more everyday problems than their names suggest: adding fractions with unlike denominators, working out when two repeating schedules coincide, reducing a ratio to its simplest form. The LCM and GCD calculator takes any list of whole numbers rather than just two.

Notation tools convert between ways of writing the same quantity — scientific and engineering notation, number bases, Roman numerals, numbers spelled out in words including the Indian lakh and crore system. None of them change a value; they change how it is expressed, which is the whole task when a figure has to move between a spreadsheet, a cheque and a piece of prose. Significant figures belongs with them, since rounding to a stated precision is a statement about how much of a number you are willing to claim.

The geometry calculator covers common 2D shapes and 3D solids, giving area, perimeter, volume and surface area from whichever dimensions define the shape, with a drawing that changes to match.

Mathematics calculators — common questions

Do these calculators show the working?

Most do. The exponent, root, logarithm, quadratic and weighted average tools lay out the substitution step by step rather than returning a bare figure, because the working is the point when you are learning the method or checking someone else. Every page also carries the formula written out and a fully worked example with real numbers.

What is the difference between percentage change and percentage difference?

Percentage change has a direction: it measures a move from an original value to a new one, and the original is the denominator. Percentage difference is symmetric and compares two values against their average, so it gives the same answer whichever order you put them in. The percentage calculator handles both, along with reverse percentages — finding the original figure when you only know the result.

Can I use these for exam or homework checking?

Yes, and that is what the shown working is for. The answers use standard methods and full double precision, and the pages state their conventions where more than one exists — such as whether a root calculator returns the principal root only, or how a significant figures count treats trailing zeros.

Which calculator handles very large or very small numbers?

The scientific notation converter moves between ordinary decimal, scientific, engineering and E notation without losing precision. The scientific calculator itself works in double precision, so it is exact for integers up to about nine quadrillion and carries roughly fifteen significant digits beyond that.