The Dead Sea is very famous because of its associations with the Bible, but it is also famous because of its unique concentration of salt, which means you float in it very easily. It is on most people's bucket lists to float here, and it should definitely be on yours!
A Dead Sea day resort
Almost every good access point to the Dead Sea is taken up by a resort, so if you don't plan to stay round here you can book yourself in to a day resort. This cost me 20 JORD for the day.
Me at the Dead Sea beach
The Dead Sea
Me floating in the Dead Sea
Pool at the day resort
A good reason to use a day resort is that you will want a shower / swimming pool after you've been in the Dead Sea, as the salty / oily water should be rinsed off.
At the entrance to the Baptism Site
Most sources, including the UN and the Pope, agree that Jesus was baptised in the Jordan River in Jordan. You can take a tour out to the site. The tour is a guided tour though due to how close to the boarder of Israel you are.
The walk to the Baptism Site
Where John the Baptist baptised Jesus
The site itself is roped off so you can't jump in the water, but you can see clearly where the baptism took place, and for Christians this a very important place to visit and appreciate.
Israel from Jordan
As you can see above you get very close to Israel when walking around!