I have no clue what you mean by a "term" or what you mean by a "true 0" or a "false 0". Could you please give an example?
(If you had said "number" rather than "term" I still would not have been sure but might have guessed you were talking about "significant figures". For example, in the unber 2300, it is impossible to tell whether one or both, or neither of the "0"s is significant. You would have to write it as , if neither were significant, if one was, if both were. That's why significant figures are typically paired with "scientific notation".)