Math and Statistics

  • Power Set Calculator
    Compute the power set of any set: get the number of subsets (2^n) and a full list of every subset, including the empty set, instantly.
  • 3D Line Equation From Two Points Calculator
    Find the parametric and symmetric equation of a line in 3D from two points. Get the direction vector, components, and distance instantly.
  • Is-Of Percentage Proportion Calculator
    Solve the percentage proportion is/of = %/100 for any missing value. Enter any two of is, of, or percent and get the third instantly.
  • Binomial Probability Calculator
    Calculate binomial probability P(X=k) with the formula C(n,k)·pᵏ·(1−p)^(n−k). Get exact, cumulative probabilities, mean and standard deviation.
  • Present & Future Value Algebra Calculator
    Solve for present value or future value using FV = PV(1+r)ⁿ. Enter amount, rate per period, and number of periods to get instant results.
  • Scale Factor Calculator for Similar Figures
    Find the scale factor between similar figures, or solve for a missing dimension. Uses k = new ÷ original and new = k × original with area factor k².
  • Solve for Missing Value to Reach a Target Average
    Find the missing value(s) you need to hit a target average. Enter your known numbers, total count, and goal average to solve instantly.
  • Three Numbers in a Ratio Calculator
    Split a total into three parts using a ratio a:b:c. Free share splitter that divides any amount proportionally with a worked example and formula.
  • Square Root of a Negative Number Calculator
    Simplify the square root of a negative number into i·√n form. Enter any number to get the imaginary coefficient instantly with steps.
  • De Moivre Theorem Calculator
    Raise any complex number a + bi to a power n using De Moivre theorem. Get the polar and rectangular form, modulus, and argument instantly.
  • Factor Difference of Cubes Calculator
    Factor a difference of cubes a³−b³ into (a−b)(a²+ab+b²). Enter a and b to get the factored form, each term, and the numeric value instantly.
  • Dividing Scientific Notation Calculator
    Divide two numbers written in scientific notation instantly. Enter coefficients and exponents to get the quotient in normalized scientific notation and decimal form.
  • Expanded Form of a Number Calculator
    Convert any whole number into expanded form using place value. Instantly see each digit multiplied by its power of ten and the full sum.
  • Pythagorean Triple Generator Calculator
    Generate Pythagorean triples (a, b, c) from two integers m and n using Euclid formula: a=m²−n², b=2mn, c=m²+n². Free, instant, exact.
  • Logarithm Base Conversion Calculator
    Evaluate logₐ(b) for any base instantly. Uses the change-of-base formula logₐ(b) = ln(b)/ln(a) to compute logarithms in any base accurately.
  • Sum of First n Even Numbers Calculator
    Find the sum of the first n even numbers (2 + 4 + 6 + ...) instantly using the closed-form formula n(n+1). Free, fast, and accurate.
  • Sum of First n Odd Numbers Calculator
    Find the sum of the first n odd numbers instantly. Uses the famous identity 1+3+5+...+(2n−1) = n². Enter n and get the result with steps.
  • Solve a Quadratic by the Quadratic Formula (with Steps)
    Solve any quadratic ax²+bx+c=0 using the quadratic formula. Get both roots, the discriminant, and complex-root support, step by step.
  • Repeating Decimal to Fraction Calculator
    Convert any repeating (recurring) decimal to an exact simplified fraction. Enter integer, non-repeating, and repeating digits to get numerator and denominator.
  • Solve Compound Interest for Rate or Time
    Solve the compound interest formula for the unknown interest rate or time. Enter principal, future amount and compounding frequency to find r or t.
  • Compound Annual Growth Rate (CAGR) Calculator
    Calculate the compound annual growth rate (CAGR) between an initial and final value over a number of years, plus total growth percentage.
  • Straight-Line Depreciation Calculator
    Calculate straight-line (linear) depreciation: annual expense, accumulated depreciation, and book value of an asset after any number of years.
  • Simplify a Ratio to Lowest Terms Calculator
    Reduce any ratio a:b to its simplest form. Enter two numbers and instantly get the lowest-terms ratio plus the greatest common divisor (GCD).
  • Quadratic Function Analyzer Calculator
    Analyze any quadratic ax²+bx+c: find the vertex, axis of symmetry, real roots, discriminant, and y-intercept instantly with steps.

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