Designate each of the following sets as ordered fields or no

Designate each of the following sets as ordered fields or not. Type F if the given set is an ordered field and type N if it is not.

(the real numbers)

(the rational numbers)

(the complex numbers)

(the natural numbers)

R All axioms satisfied Yes

Q Yes

C No (we cannot order complex numbers)

N No since identity 0 is not in N

R-Q No since irrational number does not consist of identity 0