Thursday, December 17, 2009

What numbers are rational numbers in disguise?

Strange ';riddle'; type question from a fellow math teacher.What numbers are rational numbers in disguise?
Perhaps he was thinking of recurring decimals. They go on indefinitely, but they are all rational.What numbers are rational numbers in disguise?
i would say fractions that repeats only after a long periode


for instance 1/9997





period can only be seen after 192 digits.





see :





http://www.lrz-muenchen.de/~hr/numb/peri鈥?/a>








1/9997 =


0.00001000030000900027


000810024300729021870


656119683590507715231


456943708311249337480


124403732111963358900


767023010690320709621


288638659159774793243


797313919417582527475


824274728241847255417


662529875896276888306


649199475984279528385


851575547266417992539


776193285798573957218


716561496844905347160


4148125
A rational number is a number that can be represented as a fraction (or ratio).





Whole numbers are rational numbers in disguise, since there is no obvious fraction.





Whole numbers can indeed be represented as a fraction, and are therefore rational numbers. There is always a ';diguise'; with the whole number in the numeratore and an implied ';1'; in the denominator.
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