Float On!The Dead Sea is amazing! it's true that the salt and mineral content in the water is so dense that you can't sink. The water is also caustic to clothes and footwear, so wash, rinse, repeat as soon as you leave the water. Nothing dries easily as well, so you can learn from my mistake: I put on (expensive) canvas sneakers after leaving the water which 1. shrunk, 2. weren't dry after 2+ days, and 3. had holes eaten in the cloth. (So bring disposable footwear. Shore is rocky so you'll likely need something on your feet anyway).
Other tips: The Dead Sea mud is reputed to be therapeutic but smells really bad (at least to me) and I didn't want that smell on me all day. Mud up at your own risk.