Real Number System

REAL NUMBER SYSTEM

Counting numbers

These are the numbers you were taught as a small child -- the numbers you recited when asked to count.{1,2,3...}

Whole Numbers (Counting numbers and “0”)

This set of numbers is the counting numbers, including zero.
{0,1,2,3...}

Integers (Whole numbers and negative whole numbers

When we add negatives to the set, we are categorizing the set of integers.
{...-2, -1, 0, 1, 2...}

Rational Numbers (anything expressed as a/b)

By definition, a rational number can be expressed as a fraction. When a value terminates (ends) or repeats with a pattern like .33333333..., it is said to be rational.

{...-2,-1,-1/2, 0, 1/2, 1...}

Irrational Numbers

A number or expression can be determined as irrational because it can not be expressed as a fraction, does not has a definite pattern, or it is a symbol that represents an irrational value.

{pi, Square Root of 2...}