
Example Note 1
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This is an example of a formatted note Something Nifty: A Taste of Simple Continued Fractions
Category: Numbers • goodmath Posted on: August 3, 2006 12:00 PM, by Mark C. ChuCarroll
One of the annoying things about how we write numbers is the fact that we generally write things one of two ways: as fractions, or as decimals.
You might want to ask, "Why is that annoying?" (And in fact, that's what I want you to ask, or else there's no point in my writing the rest of this!)
It's annoying because both fractions and decimals can both only describe rational numbers  that is, numbers that are a perfect ratio of two integers. And most numbers aren't rational.
But it's even more annoying than that: if you use decimals, then there are lots of rational numbers that you can't represent exactly (i.e., 1/3); and if you use fractions, then it's hard to express the idea that the fraction isn't exact. (How do you write π as a fraction? 22/7 is a standard fractional approximation, but how do you say π, which is almost 22/7?)
So what do we do?
One of the answers is something called continued fractions. A continued fraction is a very neat thing.
(i quote from GOOD MATH, BAD MATH a super math blog) Now you know why math wasn't my top subject...
posted by wrangler steve at
Saturday, August 05, 2006

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