If I give a 30 day notice but move out early do I have to pay a full month?

[Jgutta420]

When you went to being a month to month tenant when your original lease term finished out did you understand that every thing else in the lease applied with the exception of its length? so things like if it said no pets allowed that still stood and if the written lease said you were to give one whole rental period of notice then that's what was needed, if it said 30 days then its 30 days and if it did not spell out how much notice was to be given then your states law for the amount of notice applies and that is in Reenz answer.

Yes it specifies a 30 day notice which was given and which they acknowledged receipt of.