<?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:blogger='http://schemas.google.com/blogger/2008' 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-5093002934663465173</id><updated>2024-08-31T21:36:48.539-07:00</updated><title type='text'>Maths Tips And Tricks</title><subtitle type='html'></subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://mcalci.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5093002934663465173/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://mcalci.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Gaurav</name><uri>http://www.blogger.com/profile/03459234822285841513</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='32' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiIPn6IWVY7fZa9I8quOiU1utZA5eR79qx0VdU4qbqlsctPAPpsuwurkcfjfl5YdKD-lvZA7a31DfSGU85BOjcVnKUHBlakgN34CylqnfTT_-07k99d169JXvFc5x7IA/s1600/*'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>1</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-5093002934663465173.post-4038705034073314585</id><published>2012-08-31T22:52:00.003-07:00</published><updated>2012-09-01T00:39:32.621-07:00</updated><title type='text'>Fast Maths Secrets</title><content type='html'>&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Century Gothic;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;In this site, i like to share my view point on easy &lt;span style=&quot;background-color: #eeeeee;&quot;&gt;Maths Tricks&lt;/span&gt;. Have you ever wondered why 
    some of the peoples are so good at number calculation, while others struggles and thinks. &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Century Gothic;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;Question :&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;span style=&quot;letter-spacing: 1;&quot;&gt; Is there any easiest 
    way to calculate Fast ?&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;The answer is, &lt;span style=&quot;color: blue;&quot;&gt;yes&lt;/span&gt; definitely, there is......&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;span style=&quot;letter-spacing: 1;&quot;&gt;You just 
    Relax and Cheer Up.&amp;nbsp; Today I am 
    about to tell you the Secret of Faster Math.&lt;br /&gt;
I will teach you some of the 
    &lt;span style=&quot;font-size: small;&quot;&gt;easiest Math calculation tips and tricks&lt;/span&gt; 
    for faster Mathematics. &lt;/span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;After watching this video you will definitely throw your calculator outside your window, because you not be needing it any more.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;Lets watch......&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;iframe allowfullscreen=&#39;allowfullscreen&#39; webkitallowfullscreen=&#39;webkitallowfullscreen&#39; mozallowfullscreen=&#39;mozallowfullscreen&#39; width=&#39;320&#39; height=&#39;266&#39; src=&#39;https://www.youtube.com/embed/Sclaf59opFw?feature=player_embedded&#39; frameborder=&#39;0&#39;&gt;&lt;/iframe&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;This is normally called long multiplication but actually the answer can be written straight down using the &lt;u&gt;VERTICALLY AND CROSSWISE&lt;/u&gt; formula.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;We first put, or imagine, 23 below 21:&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;There are 3 steps:&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;a) Multiply vertically on the left: 2 x 2 = 4. This gives the first figure of the answer.&lt;br /&gt;b) Multiply crosswise and add: 2 x 3 + 1 x 2 = 8. This gives the middle figure.&lt;br /&gt;c) Multiply vertically on the right: 1 x 3 = 3. This gives the last figure of the answer.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;Similarly 61 x 31 = 1891&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;span style=&quot;letter-spacing: 1;&quot;&gt;6 x 3 = 18; 6 x 1 + 1 x 3 = 9; 1 x 1 = 1&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;color: purple;&quot;&gt;&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Multiply any 2-figure numbers together by mere mental arithmetic.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;span style=&quot;color: #4c1130;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;If you want 21 stamps at 26 pence each you can easily find the total price in your head. There were no carries in the method given above.&lt;br /&gt;However, there only involve one small extra step.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;21 x 26 = 546&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
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&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; border=&quot;0&quot; 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&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;The method is the same as above except that we get a 2-figure number, 14, in the middle step, so the 1 is carried over to the left&lt;br /&gt;(4 becomes 5).&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;33 x 44 = 1452&lt;br /&gt;There may be more than one carry in a sum:&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;Vertically on the left we get 12. Crosswise gives us 24, we then carry 2 to the left and mentally get the 144.&lt;br /&gt;Then vertically on the right we get 12 and the 1 here is carried over to the 144 to make 1452.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;==========================&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;span style=&quot;color: purple;&quot;&gt;Multiplying a number by 11&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;span style=&quot;color: purple;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;To multiply any 2-figure number by 11 we just put the total of the two figures between the 2 figures.26 x 11 = 286&lt;br /&gt;Notice that the outer figures in 286 are the 26 being multiplied.&lt;br /&gt;And the middle figure is just 2 and 6 added up.So 72 x 11 = 792&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;77 x 11 = 847&lt;br /&gt;This involves a carry figure because 7 + 7 = 14&lt;br /&gt;we get 77 x 11 = 7147 = 847.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;234 x 11 = 2574&lt;br /&gt;We put the 2 and the 4 at the ends.&lt;br /&gt;We add the first pair 2 + 3 = 5.&lt;br /&gt;and we add the last pair: 3 + 4 = 7.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;letter-spacing: 1;&quot;&gt;&lt;span style=&quot;font-family: Verdana,sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5093002934663465173/posts/default/4038705034073314585'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5093002934663465173/posts/default/4038705034073314585'/><link rel='alternate' type='text/html' href='http://mcalci.blogspot.com/2012/08/fast-maths-secrets.html' title='Fast Maths Secrets'/><author><name>Gaurav</name><uri>http://www.blogger.com/profile/03459234822285841513</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='32' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiIPn6IWVY7fZa9I8quOiU1utZA5eR79qx0VdU4qbqlsctPAPpsuwurkcfjfl5YdKD-lvZA7a31DfSGU85BOjcVnKUHBlakgN34CylqnfTT_-07k99d169JXvFc5x7IA/s1600/*'/></author></entry></feed>