Number System

Natural(Counting)

1, 2, 3, ...                      1..n

Whole

0, 1, 2, 3, ...                   0..n

Integer

..., -2, -1, 0, 1, 2, ...        -n..n

Rational

$$..., \frac{-1}{1}, \frac{-1}{2}, .., 0, .., \frac{1}{2}, \frac{1}{1}, ...$$

Irrational

Numbers that cannot be represented as ratio's of two integer, i.e. decimal numbers with non repeating patterns $\sqrt{2}=1.4142...$

Real

$Rational \cup Irrational$