I have the same battery problem. If I do not power off it will finish the battery in a few hours, it does not matter if it is closed, open, wireless off, all things off from the power widget. I put my unit closed in the bag during my flight but not powered off and after ten hours when I took it out of my bag to read something between the flights, the battery was completely drained. I can say that I was very disappointed. I hope future updates will fix this. For now I power it off whenever I do not use it.