Tuesday, September 19, 2006

Rational or not?

is 9/56 rational? when converted to a decimal it seems to be never ending and it seems like there's no pattern (at least as far as the calculator shows)

Well, relying on a calculator is leading this person astray.

Obviously the number is rational - it's a fraction (!); it fits the definition of a rational number.

The calculator gives 0.160714286 (to nine decimal digits), but if you use long division and continue it till you get just a few digits more, you get 0.16071428571428..., or 0.160714285.

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