Difference between revisions of "142857"

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JEWS DID 9/11
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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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For example, 142857 × 3 = 428571.
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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]]

Revision as of 20:09, March 15, 2007

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).

For example, 142857 × 3 = 428571.

This property is closely related to the facts that

1/7 = 142857/999999

and that 1/7 expressed as a decimal is

0.142857142857142857142857142857...

Investigating the number 142857 can lead a student into an understanding of repeating decimals and rational numbers.