Math Calculators

The math category covers the broad foundation that other categories build on: arithmetic, algebra, geometry, trigonometry, and a handful of number-theoretic tools. We've prioritized the calculators most likely to come up in homework, daily quick-math situations, and as building blocks for the more specialized tools elsewhere on CalcMountain.

Arithmetic and number tools include fraction arithmetic, decimal-to-fraction conversion, mixed-number conversion, percentage calculations, percentage change, percent error, GCF, LCM, prime factorization, scientific notation, rounding, significant figures, and absolute value. The factorial, exponent, square-root, and logarithm calculators round out the basic operations.

Geometry coverage is broad: areas and perimeters for rectangles, triangles, trapezoids, circles, ellipses, and hexagons; volumes for cubes, spheres, cylinders, cones, and pyramids; the Pythagorean theorem and distance/midpoint formulas; arc length and sector area; slope, and the laws of sines and cosines for triangle solving. The matrix calculator handles 2×2 determinants, inverses, and multiplication for early linear-algebra coursework. Vector and dot-product/cross-product tools support introductory 3D math.

For students working through algebra, the quadratic formula calculator returns roots, discriminant, and vertex; the proportion and ratio calculators handle scaling problems; and the long division calculator shows complete step-by-step work for verification.

Specialized tools include the golden ratio calculator (for design applications), doubling-time and exponential-growth calculators (which also appear in the investment and biology categories), and a weighted average calculator that's particularly useful for GPA and grading.

All formulas follow standard math conventions used in U.S. high school and early college curricula. Where there are multiple conventions (e.g., interval notation, rounding rules for .5 cases), we've followed the most common American convention and noted alternatives in the per-calculator FAQ. Results are exact for inputs that allow exact answers; irrational results are shown to a precision sufficient for most practical purposes.