As in your previous question, your interface is still awkward. That is, if there's an `add` method, I fully expect that calling `a.add(b)` will mean that a results in a plus b. So in particular, the state of `a` will be changed.

A user of your class will also find `void printNumber(char mathOperator)` weird. Indeed, why as a user of the class do I need to worry about such details meaning the parameter? The user will just want to get his/her complex number printed and not be forced to worry about such details. So such a function might make sense as a private workhorse (but do make it `const` and read more about `const` - it's good for you) that `operator<<` can call, as explained in another answer.