He might need some professional intervention, whether it is ADHD or something else. It is important for him to learn now about making good choices and that there are consequences that follow what he does (both consequences he likes and those he doesn't).

You said that he likes cartoons and computer games. Those can build expectations in children of being entertained at that same level of excitement with little effort on their part all the time. Doing schoolwork doesn't quite compare to those, does it? He could be trying to create the level of stimulation that he enjoys, and may be getting that in reactions from other people.

What happens if when he acts like a little tornado, everybody else stays calm and refuses to buy into it or get stirred up? Whatever he does, there are logical consequences (or you can find some logical consequences). It doesn't matter so much why he does it, but if he is breaking things and stealing, maybe he needs to sell his video games or something else that he values in order to pay for the damages, and give up allowance, work for the money, etc.

These are severe behaviors, and you are right to notice that your other children are not behaving this way. It sounds like talking to a professional about it would be appropriate. The sooner you start correcting this behavior, the better his chances to overcome it before it becomes a bigger problem for him and you and everyone else.