On the Kindle, if you hold your finger on the book cover for a few seconds you will have three options--add to favorites, remove from device or remove from carousel. If you then choose remove from device, it will be stored on your amazon account. If you chose remove from carousel, it will still be on the kindle but not showing on the home page. As jeank said, to get them back if you remove them, you just log into your amazon account and can download them again if you want. I love my Kindle Fire HD! And I read 10-15 books a month on it.