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Shows all addition and multiplication multiples up to 20 for a positive integer

Addition and Multiplication Tables (Times Tables)
Shows the color coded addition or multiplication table entries and answer for any 2 numbers 1-15.

Addition of 3 or more numbers
This calculator performs addition with carrying and an addition grid for 3 or more numbers.

Demonstrates the Addition Property Of Inequality

Displays the line by line proof for the additive identity property

Demonstrates the Additive Inverse property using a number.

Algebra Master (Polynomials)
Given 2 polynomials this does the following:
2) Polynomial Subtraction

Also generates binomial theorem expansions and polynomial expansions with or without an outside constant multiplier.

Associative Property
Demonstrates the associative property using 3 numbers.

Balancing Equations
Given 4 numbers, this will use the four operations: addition, subtraction, multiplication, or division to balance the equations if possible.

Basic m x n Matrix Operations
Given 2 matrices |A| and |B|, this performs the following basic matrix operations
* Matrix Addition |A| + |B|
* Matrix Subtraction |A| - |B|
* Matrix Multiplication |A| x |B|
* Scalar multiplication rA where r is a constant.

Basic Math Operations
Given 2 numbers, this performs the following arithmetic operations:
* Subtraction (Subtracting) (-)
* Multiplication (Multiplying) (x)
* Long division (Dividing) with a remainder (÷)
* Long division to decimal places (÷)
* Partial Sums (Shortcut Sums)
* Short Division
* Duplication and Mediation

Commutative Property
Demonstrates the commutative property of addition and the commutative property of multiplication using 3 numbers.

Complex Number Operations
Given two numbers in complex number notation, this calculator:
1) Adds (complex number addition), Subtracts (complex number subtraction), Multiplies (complex number multiplication), or Divides (complex number division) any 2 complex numbers in the form a + bi and c + di where i = √-1.
2) Determines the Square Root of a complex number denoted as √a + bi
3) Absolute Value of a Complex Number |a + bi|
4) Conjugate of a complex number a + bi

Counting on a Number Line
Shows addition or subtraction by moving left or right on a number line.

Distributive Property
Demonstrates the distributive property using 3 numbers.

Division Equality Property Calculator
Demonstrates the Division Equality Property Calculator

Division Property Of Inequality
Demonstrates the Division Property Of Inequality

Finite Field
Demonstrates the addition table and multiplication table for a finite field (Galois Field) of n denoted GF(n).

Fraction Cancellation Property
Demonstrates the Fraction Cancellation Property

Fractions and Mixed Numbers
Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:
* Subtraction (Subtracting)
* Positive Difference (Absolute Value of the Difference)
* Multiplication (Multiplying)
* Division (Dividing: complex fraction division is included)
* Compare Fractions
* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).
* Reciprocal of a Fraction
* Find all fractions between two fractions

Greatest Common Factor and Least Common Multiple
Given 2 or 3 numbers, the calculator determines the following:
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime

Logarithms
Using the formula Log ab = e, this calculates the 3 pieces of a logarithm equation:
1) Base (b)
2) Exponent
3) Log Result
* Expand logarithmic expressions

This adds 3 or more fractions or arranges a list of fractions from lowest to highest and highest to lowest (ordering fractions or sorting fractions)

Multiplication Equality Property
Demonstrates the Multiplication Equality Property

Multiplication Property Of Inequality
Demonstrates the Multiplication Property Of Inequality

Multiplicative Identity Property
Demonstrates the Multiplicative Identity property using a number.

Multiplicative Inverse Property
Demonstrates the Multiplicative Inverse property using a number.

Number Bonds
Adds or subtracts 2 numbers and using grouping by 10 or 100. Also called number bonds or addition facts. Multiplies two numbers using tape diagrams.

Number Property
This calculator determines if an integer you entered has any of the following properties:
* Even Numbers or Odd Numbers (Parity Function or even-odd numbers)
* Evil Numbers or Odious Numbers
* Perfect Numbers, Abundant Numbers, or Deficient Numbers
* Triangular Numbers
* Prime Numbers or Composite Numbers
* Automorphic (Curious)
* Undulating Numbers
* Square Numbers
* Cube Numbers
* Palindrome Numbers
* Repunit Numbers
* Apocalyptic Power
* Pentagonal
* Tetrahedral (Pyramidal)
* Narcissistic (Plus Perfect)
* Catalan
* Repunit

Percent Math
Simplifies expressions involving numbers and percents with respect to addition and subtraction

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Pythagorean Theorem
Figures out based on user entry the missing side or missing hypotenuse of a right triangle. In addition, the calculator shows the proof of the Pythagorean Theorem and then determines by numerical evaluation if the 2 sides and hypotenuse you entered are a right triangle using the Pythagorean Theorem

Rational,Irrational,Natural,Integer Property
This calculator takes a number, decimal, or square root, and checks to see if it has any of the following properties:
* Integer Numbers
* Natural Numbers
* Rational Numbers
* Irrational Numbers

Reflexive Property
Demonstrates the reflexive property of congruence using a number.

Signed Integer Operations
This performs a string of signed integer operations, either all addition and subtraction, or all multiplication and division.

Subtraction Equality Property
Demonstrates the Subtraction Equality Property

Subtraction Property Of Inequality
Demonstrates the Subtraction Property Of Inequality

Survival Rates
Given a set of times and survival population counts, the calculator will determine the following:
Survival Population lx
Mortality Population dx
Survival Probability px
Mortality Probability qx
In addition, the calculator will determine the probability of survival from tx to tx + n

Symmetric Property
Demonstrates the Symmetric property using a number.

Transitive Property
Demonstrates the Transitive property using a number.

Trichotomy Property
Demonstrates the Trichotomy Property with 2 numbers.

True False Equations
Determines if a set of addition and subtraction of numbers on each side of an equation are equivalent.

Vectors
Given 2 vectors A and B, this calculates:
* Length (magnitude) of A = ||A||
* Length (magnitude) of B = ||B||
* Sum of A and B = A + B (addition)
* Difference of A and B = A - B (subtraction)
* Dot Product of vectors A and B = A x B
A ÷ B (division)
* Distance between A and B = AB
* Angle between A and B = θ
* Unit Vector U of A.
* Determines the relationship between A and B to see if they are orthogonal (perpendicular), same direction, or parallel (includes parallel planes).
* Cauchy-Schwarz Inequality
* The orthogonal projection of A on to B, projBA and and the vector component of A orthogonal to B → A - projBA
Also calculates the horizontal component and vertical component of a 2-D vector.

Zero Multiplication Property
Demonstrates the Zero Multiplication property using a number.