From the Num documentation, we see that a Number has the following functions (http://www.haskell.org/ghc/docs/latest/html/base/GHC.Num.html#Num
class (Eq a, Show a) => Num a where (+) :: a -> a -> a (-) :: a -> a -> a (*) :: a -> a -> a negate :: a -> a abs :: a -> a signum :: a -> a fromInteger :: Integer -> a
And if we want to make something a Num, then we'd have to implement those functions.