➕ Arithmetic18 calculators
Division Calculator
Divide in Quick, Quotient and Remainder, or Decimal Precision mode
Cross Multiplication Calculator
Solve the unknown in a proportion using cross multiplication with step-by-step output and verify mode
Multiplication Calculator
Multiply a list of numbers with sign summary and multiplication chain
Subtraction Calculator
Subtract two numbers or subtract a list from a starting value in two modes
Partial Products Calculator
Multiply whole numbers using the box/area model and place-value decomposition
Absolute Value Calculator
Calculate the absolute value of a number
Absolute Change Calculator
Solve for the missing value among initial, final and absolute change
Decimal Operations Calculator
Perform the four basic operations on decimal numbers without floating-point artifacts
Ratio & Proportion Calculator
Solve for the unknown in A/B = C/D
Greater Than or Less Than Calculator
Compare two numbers and see >, <, or = with explanation; supports decimals and negatives
Integer Calculator
Addition, subtraction, multiplication, division, exponent, and root checks with integers
Addition Calculator
Add a list of numbers and see the sum and addition chain
Compatible Numbers Calculator
Round numbers to 10 or 5 for mental math; see the approximate result and signed error
Long Multiplication Calculator
Multiply two numbers step by step with partial rows, decimal and negative support
Long Subtraction Calculator
Subtract positive numbers step by step with borrowing and aligned column display
Long Addition Calculator
Add positive numbers step by step with carrying and aligned column display
Rounding Calculator
Round a number by selected precision and rounding mode
Percentage Calculator
Calculate percentage change and ratio
🧮 Algebra and Polynomials19 calculators
Area Model Calculator
Multiply binomials or factor a quadratic trinomial with the area model
Associative Property Calculator
Demonstrate the associative property numerically for addition and multiplication
Distributive Property Calculator
Expand a×(b+c) or find the common factor of two terms
Descartes' Rule of Signs Calculator
Find the possible number of positive, negative, and complex roots from sign changes in f(x) and f(−x)
Direct Variation Calculator
Work with y = kx: find k, solve x or y, or check two points
Diamond Problem Calculator
Solve, build, or verify a diamond problem with visual diamond diagram
FOIL Calculator
Expand (ax+b)(cx+d) using FOIL; see First, Outer, Inner, Last steps and the combined trinomial
Multiplying Binomials Calculator
Multiply two binomials (ax+b)(cx+d) with FOIL steps and see the expanded polynomial
Square of a Binomial Calculator
Expand (a+b)² and (a-b)² step by step; highlights the common mistake (a+b)² ≠ a²+b²
Box Method for Factoring Trinomials
Factor quadratic trinomials visually with the 2×2 box method
Polynomial Division Calculator
Divide one polynomial by another using long division; step table, quotient, remainder and identity check
Multiplying Polynomials Calculator
Multiply two single-variable polynomials; see every partial product and the combined standard-form result
Adding and Subtracting Polynomials Calculator
Add or subtract single-variable polynomials with like-terms grouping and standard form steps
Rational Zeros Calculator
Generate and test the possible rational zeros (±p/q) of an integer-coefficient polynomial
Synthetic Division Calculator
Divide a polynomial by (x − r) using synthetic division; table, quotient, remainder and root test
Perfect Square Trinomial Calculator
Detect, factor, or build perfect square trinomials from binomial squares
Inverse Variation Calculator
Work with y = k/x: find k, solve x or y, or check two points
Reverse FOIL Calculator
Factor ax²+bx+c quadratic trinomials step by step using reverse FOIL and grouping
Factoring Trinomials Calculator
Factor ax²+bx+c using the AC method: find a×c, the factor pair, split the middle term, and group
🟰 Equations5 calculators
Discriminant Calculator
Calculate the discriminant for quadratic and cubic equations with formula, substitution step and root-type interpretation
Quadratic Formula Calculator
Solve ax²+bx+c=0 with the quadratic formula; substitution, discriminant, exact and approximate roots
Absolute Value Equation Calculator
Solve structured absolute value equations p|ax+b|+q=r step by step with two-case split and verification
Completing the Square Calculator
Solve ax²+bx+c=0 by completing the square with step-by-step transformation, vertex form, discriminant and roots
Cubic Equation Calculator
Find all three roots of ax³+bx²+cx+d=0, classified as real, complex, or repeated
🧩 Systems of Equations3 calculators
System of Equations Calculator
Classify and solve a 2×2 or 3×3 system with a method selector (auto, elimination, substitution, matrix)
Substitution Method Calculator
Solve a 2×2 linear system: isolate, substitute, solve, and back-substitute
Elimination Method Calculator
Solve a 2×2 or 3×3 linear system step by step using the elimination method
↔️ Inequalities and Intervals5 calculators
Interval Notation Calculator
Convert between interval notation and inequality in either direction, including unions and the empty set
Inequality to Interval Notation Calculator
Isolate a linear inequality and convert it directly to interval notation
Graphing Quadratic Inequalities Calculator
Solve ax²+bx+c [op] 0 for Δ>0, Δ=0, and Δ<0, with a sign chart and interval notation