I have always kept my passport with me when traveling abroad. I keep it in my waist money belt (inside my pants). However, everywhere I have read says to just carry a copy. But I have also read that the safes in hotel rooms aren't necessary safe, given that they can easily be opened by employees (such as when a guest can't remember the combination). So I've always felt better having it with me.
Has anyone ever had a problem with keeping the actual passport in a money belt? Has anyone ever had any trouble by only having a copy with you?