Is it proper/ok to defines them as :
fromIntegral :: (a::Integral) -> (b::Num)
and
round :: (a::RealFrac) -> (b::Integral)  ?


No; Integral, Num and RealFrac are type classes, not types.  Think of a type
class as a "set of types" which all support certain operations.  For
example, anything in the Num class must implement +, -, *, and a few other
things.  So a type signature like (Integral a) => a means "any type a, as
long as it is in the type class Integral".

Is RealFrac is-a Num ?


Yes, any type which is in the RealFrac type class must also be in the Num
type class.

Does the order matters in (Num b,Integral a) => a -> b or
                                           (Integral a,Num b) => a -> b


No, the order of type class constraints doesn't matter.

With your encouragements, I'll keep pluuging. Thanks.


Good luck!
-Brent
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