Math - Numbers

The Numbers

All numbers symbol

A number is a mathematical object used to count, meansure and label.


Types of Numbers

Venn Diagram of Numbers

Examples

N={1,2,6,24,128,...}\N = \set{1, 2, 6, 24, 128, ...}
Z={10,4,1,0,1,4,10,...}\Z = \set{-10, -4, -1, 0, 1, 4, 10, ...}
Q={10/2,5,81,9,10.50/2,5.25,...}\mathbb{Q} = \set{-10/2, -5, \sqrt{81}, 9, 10.50/2, 5.25, ...}
I={2,8,π,e,...}\mathbb{I} = \set{\sqrt{2}, \sqrt{8}, \pi, e, ...}
R={3.5,24/8,π,2,54,33,2/8,...}\mathbb{R} = \set{3.5, -24/8, \pi, \sqrt{2}, 54, -33, 2/8, ...}


Rational Numbers

A rational number is any number that can be written as a ratio of two integers.

ab\Large\frac{a}{b}

where:
b0b \neq 0; (bb not equal to 00)
a,bZa,b \in \Z; (aa and bb are in integers set)

Examples


Irrational Numbers

A irrational number is a number that can’t be written as a ratio of two integers.

Examples

aba \approx b
aa is approximately equal to bb


Real Number Line

Real number line
Natural
Integer
Rational
Irrational

The real number line is a visual representation of real numbers used to show their order and magnitude, extending infinitely in both directions.