If a property holds for rational numbers, will it also hold for integers? For whole Numbers? Which will? Which will not?

(i) Any property which is true for rational numbers, is also true for integers except for any integers ‘a’ and ‘b’ (a ÷ b) is not necessarily an integer.

(ii) All properties which are true for rational numbers, are also true for whole numbers also except:

(a) For ‘a’ and ‘b’ being whole numbers, (a – b) may not be a whole number.

(b) For ‘a’ and ‘b’ being whole numbers (b ? 0), a ÷ b may not be whole number.

(i) Any property which is true for rational numbers, is also true for integers except for any integers ‘a’ and ‘b’ (a ÷ b) is not necessarily an integer.

(ii) All properties which are true for rational numbers, are also true for whole numbers also except:

(a) For ‘a’ and ‘b’ being whole numbers, (a – b) may not be a whole number.

(b) For ‘a’ and ‘b’ being whole numbers (b ? 0), a ÷ b may not be whole number.