Originally Posted by
TNTDevil
Never keep tomatoes in the refrigerator. Below 50 degrees, the chemicals responsible for giving the tomato its flavor shut down and do not revive.
They, along with many fruits and some veggies, ripen in the presence of ethylene gas so it's best to keep them in a well ventilated area (like a basket that allows air flow all around the fruit. It also the reason for the banana "tree", which also prevents bruising, you often see marketed in the produce area in grocery stores.
Slicing tomatoes (beefsteak, et al) purchased in a grocery store are gonna' go bad fast (because they are picked green and saturated with ethylene gas to ripen them in transit) so only buy what you need. Roma tomatoes (also called "Plum" will last for 5-7 days if rinsed and placed in a wicker basket. Keep an eye on them though because if one goes "bad" it will spoil the bunch.