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142857 (view source)

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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

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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~~]]

Wesleywillis

22

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