Monday, April 15, 2013

What is 0/0?

Because of school, I probably won't be able to post news during the week, so every now and then I might just post a short math fact, like this one. Most people when asked what is 0 divided by 0, would say 0 without hesitation. They even teach that in school, and I went several years thinking that until recently, but is that really right? Well, it's partly right. 1 infinitieth right to be exact. It turns out 0/0 equals anything you want. If you think about it, dividing is just figuring out how many times you have to multiply something to get a number. Since 0 * 0 = 0, and 0 * 1 = 0, and 0 * 1,000,000,000,000,000,000,000,000 = 0, these are all logical answers. Here's another way to prove it. If you graph a line with the equation y = x, the y divided by the x is always 1 at any point, so why should it be any different for (0, 0)? In fact, the y/x (or vice versa) is always constant for any line graph that passes through the origin, so the most logical answer for y/x at (0, 0) is whatever it is at the other points. So there you have it. 0/0 = any possible number you can think of.

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