Ballmer looked at the bottom line, was surprised by the number he saw and then started looking at the math that produced that number in detail. It has nothing to do with being a math wizz. The lesson here is that good executives ignore noise (the speaker) and focus on importance (numbers).
Balmer isn't a superhuman who can listen to a talk, read slides and do higher level math simultaneously, but he can spot a bottom line number that is surprising given his mental model of the deal. He expected to see one number and saw something else. That's when he stopped skimming the slides and gave 100% of his attention to the math that produced that bottom line number. That's also the point where he tuned out the speaker completely.
Math genius is not required. Superhuman ability to divide attention is not required. The only skill Ballmer displayed here is ability to direct his attention to a number he didn't trust, which turned out to be the right decision.
Programmers of average ability have their spider sense tingle when they look at code with sql injections, or at loops that don't terminate, or suspect allocation/threading logic. Bad code looks bad. Not always, but often enough. Finance is no different.
That video was from Microsoft's _internal_ company-wide meeting held annually to rally their staff, so your assertion is invalid.
Moreover, it's a bad example to begin with; Ballmer was and still is absolutely correct. What makes the FOSS software ecosystem so successful? That's right: developers, developers, developers. Somebody has to write all that code and it isn't going to be the end-users. When developers get pissed off at a platform, they abandon or fork it, which is why it makes sense to keep developers happy.
Those of us who were around in the '80s-'90s remember that Microsoft's rise to dominance was partly powered by the fact that they offered relatively cheap and good compilers and dev tools and solid documentation to make it easy to develop software for their platform. Contrast that with the workstation vendors back then that charged much more than MS did just to get a compiler.
And about compilers, Visual Studio has never been cheap. The express version was added only to counter Turbo C++ and other free tools like MingW.
>Then he looked up, waited for a pause in the presentation, and said in a soft voice: “This number is wrong!”
>...
>Any other executive would have assumed his finance people could write Excel formulas and delegated the task.
All the (successful) executives I ever dealt with have a sort of "sense" for numbers, and surely do not really-really trust their finance people writing Excel formulas, or - better - they trust them as long as the results are reasonable and don't raise this "number sense" alarm.