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Giving a lecture on decimal fractions

  1. Nov 16, 2014 #1
    I'm a little empty on what to talk about. Only things that come to mind is normality (and mentioning Pi in that respect) and that 1/number's decimal expansion is only finite if its prime factors are 2 or 5. What else is there to talk about?
  2. jcsd
  3. Nov 16, 2014 #2


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    2016 Award

    Staff: Mentor

    Length of periods for fractions like 1/3, 1/7, ...
    0.999... = 1
    Different bases
    History of the decimal system maybe
    How to convert an arbitrary rational number from the decimal system to a fraction of integers

    Depending on the scope, show that every real number can be expressed in that way and that the expression is unique apart from the 0.999... = 1 thing.
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