<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:georss='http://www.georss.org/georss' xmlns:gd='http://schemas.google.com/g/2005' xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-8812453760921959719</id><updated>2011-07-10T08:52:05.879-07:00</updated><category term='recurring decimals'/><title type='text'>Numbers, numbers and more numbers</title><subtitle type='html'></subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://akh-numbers-2008.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/8812453760921959719/posts/default?max-results=100'/><link rel='alternate' type='text/html' href='http://akh-numbers-2008.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>AKH</name><uri>http://www.blogger.com/profile/05855706490621448150</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>1</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>100</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-8812453760921959719.post-6014090078375975251</id><published>2008-02-06T17:18:00.000-08:00</published><updated>2008-02-10T01:40:45.221-08:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='recurring decimals'/><title type='text'>Decimals which repeats(Recurring Decimals)</title><content type='html'>So, what is the big deal is recurring decimals?&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;We know that decimal numbers which repeat themselves such as these numbers:&lt;br /&gt;&lt;br /&gt;&lt;span style="color:#ff6600;"&gt;1.111...1.... ; 0.222...2.... ; 3.1212...12.... ; 0.3854312854312...854312....&lt;/span&gt; ; etc&lt;br /&gt;&lt;br /&gt;are known as &lt;strong&gt;RECURRING DECIMALS&lt;/strong&gt;.&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;Instead of rounding off, we can write them in a simpler form by putting "dots" on top of the digits which repeat themselves. So the above decimal numbers would be represented by&lt;br /&gt;&lt;br /&gt;&lt;span style="color:#ffffff;"&gt;1.&lt;/span&gt;. &lt;span style="color:#ffffff;"&gt;; 0.&lt;/span&gt;&lt;span style="color:#000000;"&gt;. &lt;span style="color:#ffffff;"&gt;; 3. &lt;/span&gt;. . &lt;span style="color:#ffffff;"&gt;; 0.3 &lt;/span&gt;.&lt;span style="color:#ffffff;"&gt; 5431&lt;/span&gt;.&lt;/span&gt;&lt;br /&gt;1.1 ; 0.2 ; 3.12 ; 0&lt;strong&gt;.&lt;/strong&gt;&lt;span style="color:#000000;"&gt;3854312&lt;/span&gt;&lt;br /&gt;&lt;span style="font-size:85%;color:#ff0000;"&gt;(note that for the decimal:0.3854312, only the digits: 8 and 2 are "dotted". These &lt;/span&gt;&lt;span style="font-size:85%;color:#ff0000;"&gt;dots would have encompassed all the repeating digits &lt;/span&gt;&lt;span style="font-size:85%;color:#ff0000;"&gt;within them.) &lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;So, are these all there is to know about &lt;strong&gt;Recurring Decimals&lt;/strong&gt;?&lt;br /&gt;&lt;br /&gt;Consider the following questions:&lt;br /&gt;&lt;br /&gt;1. Which one of the following numbers is bigger?&lt;br /&gt;&lt;span style="color:#ffffff;"&gt;111111111&lt;/span&gt;.&lt;br /&gt;(a) 1 or 0.9&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;2. Is the decimal number 0.000000...0....0.....0......1(with the number of "0" tending to infinity) bigger than 0?&lt;br /&gt;&lt;br /&gt;Post your answer on the survey on the right.&lt;br /&gt;&lt;br /&gt;Let me know the reasons for your answers!!!&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/8812453760921959719-6014090078375975251?l=akh-numbers-2008.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://akh-numbers-2008.blogspot.com/feeds/6014090078375975251/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://www.blogger.com/comment.g?blogID=8812453760921959719&amp;postID=6014090078375975251' title='34 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/8812453760921959719/posts/default/6014090078375975251'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/8812453760921959719/posts/default/6014090078375975251'/><link rel='alternate' type='text/html' href='http://akh-numbers-2008.blogspot.com/2008/02/decimals-which-repeatsrecurring.html' title='Decimals which repeats(Recurring Decimals)'/><author><name>AKH</name><uri>http://www.blogger.com/profile/05855706490621448150</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>34</thr:total></entry></feed>
