types of numbers

2 types of Real number system (R)

Rational and Irrational Numbers

Counting Numbers or Natural Numbers (N)

N= {1, 2, 3, 4, …….}

Whole Numbers (W)

W= {0, 1, 2, 3, 4, ….}

subset

the set of counting numbers, except for 0

PRIME NUMBERS

has 1 and itself as its factors

composite number

has often factors aside from 1 and itself

integers (Z)

has negative numbers Z= { -3,-2,-1,0,1,2,3,4….}

The number line

is a straight, continuous horizontal line used as a visual model for all real numb

Trichotomy Property

used to compare two numbers

if < , > , = , are used to compare

Trichotomy Property

greater than, less than, equal,

Trichotomy Property

the distance from 0 is called

absolute value

represent distance of x from 0, which is a positive quantity

Geometrically

two numbers corresponding to point that are of the same distance but in opposite directions from 0 are called

Opposite

the set of all terminating or non terminating repeating decimals is called

rational numbers

is a real number that cannot be written as a simple fraction \frac{a}{b} (where a and b are whole integers, and b \neq 0).

irrational number

(Pi): The ratio of a circle's circumference to its diameter and Square root of 2, is example of what

irrational number

Number Line

A straight, continuous horizontal line used as a visual model for representing all real numbers.