Natural numbers
all counting numbers (ex. 1,2,3...). doesn't include 0
Whole numbers
all positive integers and 0 (ex. 0, 1, 2, 3..)
Integers
whole numbers and their opposites, negative and positive wholes (ex. -2, -1, 0, 1, 2..)
Rational numbers
any numbers that can be written in the form of a fraction
Irrational numbers
any number that cannot be written in fraction form. Q with a - on top = a set of irrational number
Real numbers
the union of the rational number set and the irrational number set (all numbers basically)