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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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.
For example, 142857 × 3 = 428571.
Line 6:
Line 6:
:1/7 = 142857/999999
:1/7 = 142857/999999
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and that 1/7 expressed as a decimal is
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and that 1/7 expressed as a [[decimal]] is
:0.142857142857142857142857142857...
: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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Investigating the number 142857 can lead a student into an understanding of repeating decimals and [[rational numbers]].