Positive integer, negative integer, zero, natural number, rational number, irrational number, real number relation?

Positive integer, negative integer, zero, natural number, rational number, irrational number, real number relation?

First of all, there is no negative natural number, natural number is a non-negative integer except 0
The positive rational number includes positive and negative integers and positive and negative decimals
Positive rational numbers and positive and negative irrational numbers are juxtaposed
In short, rational numbers contain integers and natural numbers, and integers contain natural numbers
Paralleling of rational and irrational numbers

Integer, positive integer, negative integer, zero, natural number, rational number, irrational number, real number relation?

Real numbers contain rational and irrational numbers
The rational number contains an integer
Integers contain positive, negative, and zero integers
A natural number contains a positive integer and zero