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Decimal Pattern


Take the number pi = 3.14159265358979323846264338.... Compute integer multiples of pi . Then truncate the integer so that you only have the decimal part remaining. Graph the decimal part versus its position in the sequence. What do you see? What would be a logical explanation?

multiples of pi approximation truncation
pi 3.141592653 0.141592653
2*pi 6.283185306 0.283185306
3*pi 9.424777959 0.424777959
4*pi 12.56637061 0.566370612
5*pi 15.70796327 0.707963265



 Extensions


If you do the same thing with any other decimal number instead of pi, would the observation still be true? Why?



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