The fact that the decimal expansion of a rational number is eventually periodic is a consequence of the pigeonhole principle
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The fact that the decimal expansion of a rational number is eventually periodic is a consequence of the pigeonhole principle

We start by examining the process of longdivision To 64257nd the decimal expansion of 1 7 we perform the following steps 1428571 575275752757527 10 30 28 20 14 60 56 40 35 50 49 10 575275752757527 We have thus performed the following calculations 1

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The fact that the decimal expansion of a rational number is eventually periodic is a consequence of the pigeonhole principle




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