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	<title>Logic Nest &#187; Point Nine Repeating</title>
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	<description>The personal site of Ian Luke Kane. Thoughts on mathematics, logic, and life. The beauty therein and the strangeness of it all.</description>
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		<title>Point Nine Repeating Equals One</title>
		<link>http://www.logicnest.com/archives/103</link>
		<comments>http://www.logicnest.com/archives/103#comments</comments>
		<pubDate>Thu, 10 Jan 2008 04:07:14 +0000</pubDate>
		<dc:creator>Ian Luke Kane</dc:creator>
				<category><![CDATA[Logic/Math]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[Point Nine Repeating]]></category>

		<guid isPermaLink="false">http://www.logicnest.com/archives/103</guid>
		<description><![CDATA[<p><img width="640" height="427" src="http://www.logicnest.com/wp-content/uploads/2010/01/logic.jpg" class="attachment-featured-image wp-post-image" alt="(Image by Eusebius@Commons)" title="logic" /></p><br />Let&#8217;s be honest&#8230;there are certain subjects that a math-ish kind of blog must mention at some point. One of these obligatory topics happens to be the &#8220;0.9999999&#8230; = 1&#8243; proof. It&#8217;s one of those facts that delights the mathematically inclined. It&#8217;s sort of like the joke that Grandpa always tells when the family gets together: [...]]]></description>
			<content:encoded><![CDATA[<p><img width="640" height="427" src="http://www.logicnest.com/wp-content/uploads/2010/01/logic.jpg" class="attachment-featured-image wp-post-image" alt="(Image by Eusebius@Commons)" title="logic" /></p><br /><p>Let&#8217;s be honest&#8230;there are certain subjects that a math-ish kind of blog must mention at some point. One of these obligatory topics happens to be the &#8220;0.9999999&#8230; = 1&#8243; proof. It&#8217;s one of those facts that delights the mathematically inclined. It&#8217;s sort of like the joke that Grandpa always tells when the family gets together: you know it&#8217;s coming, and you know how much pleasure he gets out of relaying the joke, but for goodness sake, this is the 99th time you&#8217;ve heard the punchline. At any rate, there is a set of about 15 math facts that people love to talk about simply because they&#8217;re all totaling mind-blowing or sound totally nonsensical. I tend to think that the &#8220;0.9999999&#8230; = 1&#8243; proof belongs in the latter category.</p>
<p>The previous digression leads me to mention the <a href="http://qntm.org/?index" target="_blank">Things of Interest</a> blog, and their absolutely fantastic post on various forms of the &#8220;0.9999999&#8230; = 1&#8243; proof. You can find that post <a href="http://qntm.org/?pointnine" target="_blank">here</a>. In case one proof doesn&#8217;t do it for you, this site offers several, each of which occurs at a various level of mathematical rigor. There will definitely be a proof for you here that you&#8217;ll understand.</p>
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