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		<id>http://wiki.karljones.com/index.php?action=history&amp;feed=atom&amp;title=Multiplication</id>
		<title>Multiplication - Revision history</title>
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		<updated>2026-10-23T10:41:01Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.karljones.com/index.php?title=Multiplication&amp;diff=19416&amp;oldid=prev</id>
		<title>Karl Jones at 18:52, 28 October 2016</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Multiplication&amp;diff=19416&amp;oldid=prev"/>
				<updated>2016-10-28T18:52:00Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 18:52, 28 October 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Multiplication''' (often denoted by the cross symbol &amp;quot;×&amp;quot;, by a point &amp;quot;·&amp;quot;, by juxtaposition, or, on computers, by an asterisk &amp;quot;∗&amp;quot;) is one of the four elementary, [[Operation (mathematics)|mathematical operations]] of [[arithmetic]]; with the others being [[addition]], [[subtraction]], and [[division].&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Multiplication''' (often denoted by the cross symbol &amp;quot;×&amp;quot;, by a point &amp;quot;·&amp;quot;, by juxtaposition, or, on computers, by an asterisk &amp;quot;∗&amp;quot;) is one of the four elementary, [[Operation (mathematics)|mathematical operations]] of [[arithmetic]]; with the others being [[addition]], [[subtraction]], and [[division&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]&lt;/ins&gt;].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Description ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Description ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

	<entry>
		<id>http://wiki.karljones.com/index.php?title=Multiplication&amp;diff=19415&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;'''Multiplication''' (often denoted by the cross symbol &quot;×&quot;, by a point &quot;·&quot;, by juxtaposition, or, on computers, by an asterisk &quot;∗&quot;) is one of the four elementary, Opera...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Multiplication&amp;diff=19415&amp;oldid=prev"/>
				<updated>2016-10-28T18:50:51Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Multiplication&amp;#039;&amp;#039;&amp;#039; (often denoted by the cross symbol &amp;quot;×&amp;quot;, by a point &amp;quot;·&amp;quot;, by juxtaposition, or, on computers, by an asterisk &amp;quot;∗&amp;quot;) is one of the four elementary, Opera...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Multiplication''' (often denoted by the cross symbol &amp;quot;×&amp;quot;, by a point &amp;quot;·&amp;quot;, by juxtaposition, or, on computers, by an asterisk &amp;quot;∗&amp;quot;) is one of the four elementary, [[Operation (mathematics)|mathematical operations]] of [[arithmetic]]; with the others being [[addition]], [[subtraction]], and [[division].&lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
&lt;br /&gt;
The multiplication of whole numbers may be thought as a repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the value of the other one, the multiplier.&lt;br /&gt;
&lt;br /&gt;
Normally, the multiplier is written first and multiplicand second, though this can vary, as the distinction is not very meaningful.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Dimensional analysis]]&lt;br /&gt;
* [[Multiplication algorithm]]&lt;br /&gt;
** [[Karatsuba algorithm]], for large numbers&lt;br /&gt;
* [[Toom–Cook multiplication]], for very large numbers&lt;br /&gt;
* [[Schönhage–Strassen algorithm]], for huge numbers&lt;br /&gt;
* [[Multiplication table]]&lt;br /&gt;
* [[Multiplication ALU]], how computers multiply&lt;br /&gt;
** [[Booth's multiplication algorithm]]&lt;br /&gt;
** [[Floating point]]&lt;br /&gt;
** [[Fused multiply–add]]&lt;br /&gt;
** [[Multiply–accumulate]]&lt;br /&gt;
** [[Wallace tree]]&lt;br /&gt;
* [[Multiplicative inverse]], reciprocal&lt;br /&gt;
* [[Factorial]]&lt;br /&gt;
* [[Genaille–Lucas rulers]]&lt;br /&gt;
* [[Napier's bones]]&lt;br /&gt;
* [[Peasant multiplication]]&lt;br /&gt;
* [[Product (mathematics)]], for generalizations&lt;br /&gt;
* [[Slide rule]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Multiplication Multiplication] @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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