  For an essay on the evolution of numbers, please read Imaginary Numbers Are Not Imaginary.

This page displays numbers systems in an outline form with the most inclusive listed first and in some cases HOW COMPUTATION (addition, subtraction, ...) IS COMPLETED. Click on the link to read about an individual number system or its computation.  COMPLEX NUMBER
-- solves all ax² + bx + c = 0
-- includes all numbers systems below
-- a + bi, where a is not 0, b is not 0, where i² = -1
-- a + bi, where a is 0, b is not 0, where i² = -1 -- These are pure IMAGINARY
-- a + bi, where a is not 0, b is 0, where i² = -1 -- These are pure REAL NUMBER
-- Computation: Logs and Exponents
-- Computation: Vector
-- Computation: Complex -- rectangular & polar
REAL NUMBER
-- solves x² - 4 = 0
-- includes all numbers systems below
-- not a/b, These are IRRATIONAL
-- a/b, These are RATIONAL
-- includes all numbers systems below
IRRATIONAL
-- solves x² = 3
-- non fractions, numbers which can not be written as a/b where a and b are integers

RATIONAL
-- solves 4x = 3, x² = 4
-- fractions, numbers which can be written as a/b where a and b are integers
-- includes all numbers systems below
-- Computation: The Decimal Bakery- a math fairy tale on decimal computation
-- Computation: Fractions
INTEGER
-- solves x + 4 = 3
-- whole numbers and their
-- Computation: ABSOLUTELY NOT! -- Signed Number Computation opposites
-- includes all numbers systems below
WHOLE NUMBER
-- solves x + 4 = 4
-- 0 or a counting number
-- includes all numbers systems below
NATURAL NUMBER
-- solves x + 4 = 6
-- counting numbers
 See: Place values and names How Big Is A Million, Billion, Trillion, ... ? NAME THAT NUMBER (PART I) - whole numbers, decimals, place, standard vs. expanded notation VOCABULARY