Match the statements defined below with the letters labeling particular numbers. Use all the letters. Of course a natural number is also a rational number, for example. However, there is only one correct matching that uses all five letters A through E.
1. is a rational number
2. is neither positive nor negative
3. is a natural number
4. is an integer
5. is an irrational number

A.
B.
C.
D.
E.

In order to get credit for this problem all answers must be correct.