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<p>. So, the decimal expansion of  is (<a href="page.php?w=up_to">up to</a> the order of the terms) which is finite.</p>

<p><big>Infinite </big></p>
<p><big>Repeating decimal representations</big></p>
<p>Some real numbers have decimal expansions that eventually get into loops, endlessly repeating a sequence of one or more digits:<br/>
:1/3 = 0.33333...<br/>
:1/7 = 0.142857142857...<br/>
:1318/185 = 7.1243243243...Every time this happens the number is still a <a href="page.php?w=rational_number">rational number</a> (i.e. can alternatively be represented as a ratio</p><p>
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