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	<title>Comments on: Numbers &#8211; Remember What They Taught You In Primary School?</title>
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	<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school</link>
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		<title>By: michelle</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-32127</link>
		<dc:creator>michelle</dc:creator>
		<pubDate>Mon, 09 Nov 2009 14:06:52 +0000</pubDate>
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		<description>hi i dun understand 1234 can help</description>
		<content:encoded><![CDATA[<p>hi i dun understand 1234 can help</p>
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		<title>By: MathsRock</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-30743</link>
		<dc:creator>MathsRock</dc:creator>
		<pubDate>Sun, 11 Oct 2009 08:19:37 +0000</pubDate>
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		<description>*For no.1, find HCF, which is 2x3 = 6.
*For no.2, find LCM, which is 2squarex3squarex5x7 = 1260.
*For no.3:
The prime factors of 126 is 2x3squarex7.
2 and 7 is not a perfect square, so make 2 and 7 become, 2square and 7square. So just add another 2 and another 7. So k is = 2x7 = 14.
*For no.4, if you how to do no.2, you should know how to do this.
Simply, 1260 divide by 60 = 21.

Correct? (:</description>
		<content:encoded><![CDATA[<p>*For no.1, find HCF, which is 2x3 = 6.<br />
*For no.2, find LCM, which is 2squarex3squarex5x7 = 1260.<br />
*For no.3:<br />
The prime factors of 126 is 2x3squarex7.<br />
2 and 7 is not a perfect square, so make 2 and 7 become, 2square and 7square. So just add another 2 and another 7. So k is = 2x7 = 14.<br />
*For no.4, if you how to do no.2, you should know how to do this.<br />
Simply, 1260 divide by 60 = 21.</p>
<p>Correct? (:</p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-2592</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Thu, 20 Dec 2007 05:55:13 +0000</pubDate>
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		<description>Hi Jala, LCM = Lowest Common Multiple. Care to elaborate on which part do you not understand?</description>
		<content:encoded><![CDATA[<p>Hi Jala, LCM = Lowest Common Multiple. Care to elaborate on which part do you not understand?</p>
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		<title>By: Jala</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-2585</link>
		<dc:creator>Jala</dc:creator>
		<pubDate>Wed, 19 Dec 2007 17:40:54 +0000</pubDate>
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		<description>what is the LCM i do not understand...</description>
		<content:encoded><![CDATA[<p>what is the LCM i do not understand...</p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-1478</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Sun, 14 Oct 2007 16:09:32 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-1478</guid>
		<description>Part 4 is a little tricky, so let&#039;s explain this one step at a time.

i. 60&lt;var&gt;m&lt;/var&gt; is a multiple of 126. But obviously 60&lt;var&gt;m&lt;/var&gt; is also a multiple of 60!

ii. By this definition, do you agree that when &lt;var&gt;m&lt;/var&gt; is at its &#039;smallest integer value for which 60&lt;var&gt;m&lt;/var&gt; is a multiple of 126&#039;, this implies that 60&lt;var&gt;m&lt;/var&gt; IS the &lt;acronym title=&quot;Lowest Common Multiple&quot;&gt;LCM&lt;/acronym&gt; of both 60 and 126?

iii. The &lt;acronym title=&quot;Lowest Common Multiple&quot;&gt;LCM&lt;/acronym&gt; of both 60 and 126 is 2 x 2 x 3 x 3 x 5 x 7 (obtained in part 2). So we can equate:

60&lt;var&gt;m&lt;/var&gt; = 2 x 2 x 3 x 3 x 5 x 7
&lt;var&gt;m&lt;/var&gt; = (2 x 2 x 3 x 3 x 5 x 7)/(2 x 2 x 3 x 5)

... cancel here ... cancel there ...

&lt;var&gt;m&lt;/var&gt; = 3 x 7 = 21</description>
		<content:encoded><![CDATA[<p>Part 4 is a little tricky, so let's explain this one step at a time.</p>
<p>i. 60<var>m</var> is a multiple of 126. But obviously 60<var>m</var> is also a multiple of 60!</p>
<p>ii. By this definition, do you agree that when <var>m</var> is at its 'smallest integer value for which 60<var>m</var> is a multiple of 126', this implies that 60<var>m</var> IS the <acronym title="Lowest Common Multiple">LCM</acronym> of both 60 and 126?</p>
<p>iii. The <acronym title="Lowest Common Multiple">LCM</acronym> of both 60 and 126 is 2 x 2 x 3 x 3 x 5 x 7 (obtained in part 2). So we can equate:</p>
<p>60<var>m</var> = 2 x 2 x 3 x 3 x 5 x 7<br />
<var>m</var> = (2 x 2 x 3 x 3 x 5 x 7)/(2 x 2 x 3 x 5)</p>
<p>... cancel here ... cancel there ...</p>
<p><var>m</var> = 3 x 7 = 21</p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-1476</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Sun, 14 Oct 2007 16:00:05 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-1476</guid>
		<description>Hey Prodigy,

Thanks for rekindling this post from the early days,  when Miss Loi was just a budding blogger making her first baby steps into the blogging world (and she still is) ...

Anyway to explain this better ...

First of all do understand that part 1 deals with &lt;acronym title=&quot;Highest Common Factor&quot;&gt;HCF&lt;/acronym&gt; and part 2 deals with &lt;acronym title=&quot;Lowest Common Multiple&quot;&gt;LCM&lt;/acronym&gt;.

For part 3, you need to find the least value of &lt;var&gt;k&lt;/var&gt; such that 126 x &lt;var&gt;k&lt;/var&gt; is a perfect square (i.e. can be square-rooted, if there&#039;s such a word :P). 

For a number to be a perfect square, &lt;em&gt;there must be at least two of each of its factors&lt;/em&gt;.

Hence for 126 = 2 x 3 x 3 x 7, we need at least another 2 and 7 to &#039;complete the square&#039; (i.e. make it into 2 x 2 x 3 x 3 x 7 x 7). So &lt;var&gt;k&lt;/var&gt; must be 2 x 7 = 14.</description>
		<content:encoded><![CDATA[<p>Hey Prodigy,</p>
<p>Thanks for rekindling this post from the early days,  when Miss Loi was just a budding blogger making her first baby steps into the blogging world (and she still is) ...</p>
<p>Anyway to explain this better ...</p>
<p>First of all do understand that part 1 deals with <acronym title="Highest Common Factor">HCF</acronym> and part 2 deals with <acronym title="Lowest Common Multiple">LCM</acronym>.</p>
<p>For part 3, you need to find the least value of <var>k</var> such that 126 x <var>k</var> is a perfect square (i.e. can be square-rooted, if there's such a word <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_razz.gif' alt=':P' class='wp-smiley' /> ). </p>
<p>For a number to be a perfect square, <em>there must be at least two of each of its factors</em>.</p>
<p>Hence for 126 = 2 x 3 x 3 x 7, we need at least another 2 and 7 to 'complete the square' (i.e. make it into 2 x 2 x 3 x 3 x 7 x 7). So <var>k</var> must be 2 x 7 = 14.</p>
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		<title>By: Prodigy</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-1473</link>
		<dc:creator>Prodigy</dc:creator>
		<pubDate>Sun, 14 Oct 2007 13:32:53 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-1473</guid>
		<description>Miss Loi, care to explain 3 and 4 to me?  thanks.</description>
		<content:encoded><![CDATA[<p>Miss Loi, care to explain 3 and 4 to me?  thanks.</p>
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	<item>
		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-69</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Sun, 29 Apr 2007 12:25:15 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-69</guid>
		<description>yk, actually to Miss Loi the LHS is the more  important portion which normally means that the RHS is just a formality *excuses herself for not checking properly* but having said that THIS IS AN UNFORGIVEABLE SLAP-YOUR-HAND WHAT-A-PITY WHAT-A-WASTE HOW-ON-EARTH-COULD THIS HAPPEN CARELESS MISTAKE!!!!</description>
		<content:encoded><![CDATA[<p>yk, actually to Miss Loi the LHS is the more  important portion which normally means that the RHS is just a formality *excuses herself for not checking properly* but having said that THIS IS AN UNFORGIVEABLE SLAP-YOUR-HAND WHAT-A-PITY WHAT-A-WASTE HOW-ON-EARTH-COULD THIS HAPPEN CARELESS MISTAKE!!!!</p>
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		<title>By: yk</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-58</link>
		<dc:creator>yk</dc:creator>
		<pubDate>Sat, 28 Apr 2007 17:18:55 +0000</pubDate>
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		<description>2 x 7 = 17 ??

Minus mark for wrong answer, but still get working marks. (=</description>
		<content:encoded><![CDATA[<p>2 x 7 = 17 ??</p>
<p>Minus mark for wrong answer, but still get working marks. (=</p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/numbers-remember-what-they-taught-you-in-primary-school#comment-35</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Wed, 18 Apr 2007 02:25:19 +0000</pubDate>
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		<description>Tupolev, 

Of coz you will feel like sec sch - Miss Loi already mentioned this is a Sec One question!

No sweat right? Sigh ... but still many students got this wrong. But then again you&#039;re overaged! Bully kechil izit??!

BTW thanx for dropping by again :)</description>
		<content:encoded><![CDATA[<p>Tupolev, </p>
<p>Of coz you will feel like sec sch - Miss Loi already mentioned this is a Sec One question!</p>
<p>No sweat right? Sigh ... but still many students got this wrong. But then again you're overaged! Bully kechil izit??!</p>
<p>BTW thanx for dropping by again <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_smile.gif' alt=':)' class='wp-smiley' /> </p>
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