Question 499473
natural numbers are numbers we count with.  We don't count with 0, so 0 is not included. (1,2,3,4...)
whole numbers add the 0 to the natural numbers, so (0,1,2,3,...)
Integers include negative numbers (-2,-1,0,1,2,...)
rationals can be written as a fraction of two integers a and b (-a/b, a/b...)
irrationals can not be written as a fraction.  They are non repeating numbers like  the square root of 2 or pi
real numbers include all rationals, irrationals and everything.  They do not include square root of negative numbers though.

Hope this helps.