Any traveler to Jordan has to see some of Jordan's prime attractions. For short stays, we recommend visiting nearby sites in and around Amman; The Citadel, Roman Theatre. With only 40 minutes drive to the west of Amman is the Dead Sea, a must to spare a couple of hours to visit and enjoy. Jerash, Madaba, Mount Nebo are only as far from Amman as the Dead Sea. Daily same day tours to Petra can be arranged to fit in your program and time.
For travelers with some extra time, you should not miss a full tour of Petra. You can top it with a tour in Wadi Rum and end it in Aqaba on the Red Sea.