In Michigan you are to provide your Landlord with written notice of 30 days or greater of your intent to move, or the length of a rental period, which in your case seems to be an a month to month basis. Please ensure that upon move out you provide a written communication of your forwarding address or you may lose some information rights as to your security deposit.
Generally speaking, if you do not have a lease and no security deposit, you may not need to give any notice. If you are the landlord, you need to give a 30 day Notice to Quit to the occupant of the home. If you do have a security deposit, then you should give a 30 day notice in order to provide the landlord with fair notice. You also must provide your forwarding address no more than 4 days after moving out so that the landlord can send back your security deposit or list of damages.
