n Learning and Teaching Mathematics - The beauty of cyclic numbers

Volume 2014, Issue 16
  • ISSN : 1990-6811


Cyclic numbers stemming from the decimal expansions of certain fractions provide a fascinating context for mathematical exploration and investigation. The purpose of this article was not to engage too heavily with the theory behind cyclic numbers as this has been done extensively elsewhere through the use of the algorithmic process of long division, number theory, modular arithmetic, and group theory. Rather, what we hope we have accomplished in this article is to show how a simple idea can be developed into an ever expanding investigation resulting in intriguing discoveries which hopefully spark a mathematical desire to explore both further and deeper.

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