Difference between revisions of "142857"

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The number ''142857'' has the curious property that, if it is multiplied by any number from 1 to 6, the result is a number with the same digits in the same order (a [[cyclic permutation]]).
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JEWS DID 9/11
  
For example, 142857 × 3 = 428571.
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[[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]][[Image:Adolf hitler.gif]]"
 
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This property is closely related to the facts that
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:1/7 = 142857/999999
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and that 1/7 expressed as a [[decimal]] is
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:0.142857142857142857142857142857...
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Investigating the number 142857 can lead a student into an understanding of repeating decimals and [[rational numbers]].
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[[Category:Mathematics]]
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Revision as of 15:09, 15 March 2007

JEWS DID 9/11

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