Math and Statistics

  • Unit Vector (Normalize) Calculator
    Normalize a 2D or 3D vector to a unit vector. Enter X, Y, and optional Z components to get the magnitude and the unit vector û = a / |a|.
  • Ratio Sharing Calculator
    Split any total amount into three shares using a ratio a:b:c. Free ratio sharing calculator with instant results and a worked formula example.
  • Solve for Needed Score Calculator
    Find the exact score you need on a remaining assignment or final exam to reach your target weighted overall grade. Solve for the required grade fast.
  • Common Difference Calculator
    Find the common difference d of an arithmetic sequence from any two terms. Enter the first term, a later term, and its position to compute d instantly.
  • Convert Between Radical and Exponential Form
    Convert exponential form to radical form (and back) and evaluate x^(m/n). Enter base, numerator and denominator to get the nth root of x^m instantly.
  • Simplify Square Root to Radical Form Calculator
    Simplify any square root into simplest radical form a√b. Enter a number to get the coefficient, radicand, and decimal value instantly.
  • Reduced Row Echelon Form (RREF) Calculator
    Free RREF calculator. Reduce any matrix (up to 6x6) to reduced row echelon form using Gauss-Jordan elimination and find the matrix rank instantly.
  • Exponential Function from Two Points Calculator
    Find the exponential equation y=ab^x passing through two points. Enter (x1,y1) and (x2,y2) to solve the base b and coefficient a instantly.
  • Binomial Expansion Specific Term Calculator
    Find a specific (kth) term in the binomial expansion of (a+b)^n using T(r+1)=C(n,r)·a^(n−r)·b^r. Shows coefficient and term value.
  • Decrease a Number by a Percent Calculator
    Subtract a percentage from any number instantly. Enter a starting number and a percent to get the reduced value, plus the exact amount of decrease.
  • Simplify Algebraic Expression Calculator
    Simplify linear algebraic expressions by combining like terms and applying distribution. Enter coefficients and constants to reduce to ax + b form.
  • Solve for a Variable (Formula Rearranger)
    Solve any linear equation of the form a·x + b = c·x + d for x. Handles unique solutions, identities (all values), and no-solution cases instantly.
  • Solve for X Calculator
    Solve for x in linear (ax + b = c) or quadratic (ax² + bx + c = 0) equations. Get exact roots, the discriminant, and step-by-step formulas.
  • Break-Even Point Calculator
    Find your break-even point in units where total cost equals total revenue. Enter fixed costs, price, and variable cost per unit to solve instantly.
  • Percent Change Between Two Values Calculator
    Find the percent change between an original and new value instantly. Calculate percent increase or decrease with the simple (new-old)/|old| x 100 formula.
  • Solve b^x = c for x
    Solve the exponential equation b^x = c for the unknown exponent x using logarithms. Free calculator with the formula x = ln(c)/ln(b) and a worked check.
  • Celsius–Fahrenheit Formula Calculator
    Convert between Celsius and Fahrenheit using the algebraic formulas F = 9/5 C + 32 and C = 5/9 (F − 32). See each step worked out.
  • Discount Calculator
    Free discount calculator: enter an original price and percent off to instantly find the sale price and how much money you save.
  • Euler's Totient Function Calculator
    Compute Euler's totient φ(n) — the count of integers from 1 to n coprime to n — using prime factorization. Free, instant, with worked steps.
  • Slope-Intercept Form from a Point and Slope
    Find the slope-intercept equation y = mx + b from a known slope and one point. Computes the y-intercept b instantly with steps and examples.
  • Modulus of a Complex Number Calculator
    Find the modulus (absolute value) of a complex number a + bi using |a+bi| = sqrt(a^2 + b^2). Also shows the argument in radians and degrees.
  • Simplify Exponents Calculator
    Simplify exponent expressions using the product, quotient, and power rules. Enter a base and two exponents to get the simplified power and its value.
  • Quartile and IQR Calculator
    Find Q1, Q2 (median), Q3 and the interquartile range (IQR) of any data set. Paste comma or space separated numbers for instant quartile statistics.
  • Complete the Pattern: Next Number in Sequence Calculator
    Find the next number in a sequence. Automatically detects arithmetic or geometric patterns and predicts the next terms using the common difference or ratio.

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