https://www.conservapedia.com/index.php?action=history&feed=atom&title=Associative_property_of_addition 2026-10-08T02:14:17Z Revision history for this page on the wiki MediaWiki 1.35.14 https://www.conservapedia.com/index.php?title=Associative_property_of_addition&diff=1242477&oldid=prev 2016-06-28T16:59:08Z

<p><span dir="auto"><span class="autocomment">top: </span>Spelling/Grammar Check &amp; Cleanup</span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:59, June 28, 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6" >Line 6:</td> <td colspan="2" class="diff-lineno">Line 6:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The [[associative property]] of addition is different from the [[commutative property]].</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The [[associative property]] of addition is different from the [[commutative property]].</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; 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;"><div>[[<del class="diffchange diffchange-inline">category</del>:<del class="diffchange diffchange-inline">algebra</del>]]</div></td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div>[[<ins class="diffchange diffchange-inline">Category</ins>:<ins class="diffchange diffchange-inline">Algebra</ins>]]</div></td></tr> </table>

DavidB4-bot https://www.conservapedia.com/index.php?title=Associative_property_of_addition&diff=1196350&oldid=prev 2016-02-06T05:01:08Z

<p>Removed erroneous statement about matrices.</p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 05:01, February 6, 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5" >Line 5:</td> <td colspan="2" class="diff-lineno">Line 5:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>With more than three numbers, there can be many ways to do the addition.  For example, with 4 numbers one of the ways is &lt;math&gt;2 + 3 + 4 + 5 = ((2 + 3) + 4 )+ 5 = (5 + 4 )+ 5 = 9+ 5 = 14&lt;/math&gt;.   </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>With more than three numbers, there can be many ways to do the addition.  For example, with 4 numbers one of the ways is &lt;math&gt;2 + 3 + 4 + 5 = ((2 + 3) + 4 )+ 5 = (5 + 4 )+ 5 = 9+ 5 = 14&lt;/math&gt;.   </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; 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;"><div>The [[associative property]] of addition is different from the [[commutative property]]<del class="diffchange diffchange-inline">.  For example, addition of matrices has the associative property but is not commutative.  If &lt;math&gt;A&lt;/math&gt;, &lt;math&gt;B&lt;/math&gt;, and &lt;math&gt;C&lt;/math&gt; are three matrices, then &lt;math&gt;A+(B + C)=(A+ B) + C &lt;/math&gt; but &lt;math&gt;A+ B \neq B + A &lt;/math&gt;</del>.</div></td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div>The [[associative property]] of addition is different from the [[commutative property]].</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[category:algebra]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[category:algebra]]</div></td></tr> </table>

Torr https://www.conservapedia.com/index.php?title=Associative_property_of_addition&diff=791292&oldid=prev 2010-06-30T05:30:42Z

<p>Reverted edits by <a href="/Special:Contributions/AArrsefly" title="Special:Contributions/AArrsefly">AArrsefly</a> (<a href="/index.php?title=User_talk:AArrsefly&amp;action=edit&amp;redlink=1" class="new" title="User talk:AArrsefly (page does not exist)">Talk</a>) to last revision by <a href="/index.php?title=User:Foxtrot&amp;action=edit&amp;redlink=1" class="new" title="User:Foxtrot (page does not exist)">Foxtrot</a></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 05:30, June 30, 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" 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/b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b/ /b</del>/</div></td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div><ins class="diffchange diffchange-inline">Basic [[addition]] is a ''pairwise'' [[operation (mathematics)|operation]].  To add more than two [[number]]s, you must combine them in pairs successively until all the numbers have been used.  For example, to add &lt;math&gt;X = 3 + 4 + 5&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt; you first pick two consecutive numbers, say 3 and 4, and add them: &lt;math&gt;X = 7 + 5&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;.  Now there are just two numbers remaining, which you can add to get the final answer: &lt;math&gt;X = 12&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;.  </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div><ins class="diffchange diffchange-inline">The '''associative property of addition''' is the fact that the answer does not depend on how the pairings are done. For example, we could have started with &lt;math&gt;4 + 5 = 9&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;, and then done &lt;math&gt;X = 3 + 9 = 12&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;.  We use parentheses to indicate the order of addition used.  For example, writing &lt;math&gt;(3 + 4)+ 5&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt; means that you first add &lt;math&gt;3 + 4&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt; then add the result by 5.  The associative property is expressed by the formula &lt;math&gt;(3+ 4) + 5 = 3 +(4 + 5)&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;.  </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div><ins class="diffchange diffchange-inline">With more than three numbers, there can be many ways to do the addition.  For example, with 4 numbers one of the ways is &lt;math&gt;2 + 3 + 4 + 5 = ((2 + 3) + 4 )+ 5 = (5 + 4 )+ 5 = 9+ 5 = 14&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;.  </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div><ins class="diffchange diffchange-inline">The [[associative property]] of addition is different from the [[commutative property]].  For example, addition of matrices has the associative property but is not commutative.  If &lt;math&gt;A&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;, &lt;math&gt;B&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;, and &lt;math&gt;C&lt;</ins>/<ins class="diffchange diffchange-inline">math&gt; are three matrices, then &lt;math&gt;A+(B + C)=(A+ B) + C &lt;</ins>/<ins class="diffchange diffchange-inline">math&gt; but &lt;math&gt;A+ B \neq B + A &lt;</ins>/<ins class="diffchange diffchange-inline">math&gt;.</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div><ins class="diffchange diffchange-inline">[[category:algebra]]</ins></div></td></tr> </table>

TK https://www.conservapedia.com/index.php?title=Associative_property_of_addition&diff=791291&oldid=prev 2010-06-30T05:29:18Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 05:29, June 30, 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; 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;"><div><del class="diffchange diffchange-inline">Basic [[addition]] is a ''pairwise'' [[operation (mathematics)|operation]].  To add more than two [[number]]s, you must combine them in pairs successively until all the numbers have been used.  For example, to add &lt;math&gt;X = 3 + 4 + 5&lt;</del>/<del class="diffchange diffchange-inline">math&gt; you first pick two consecutive numbers, say 3 and 4, and add them: &lt;math&gt;X = 7 + 5&lt;</del>/<del class="diffchange diffchange-inline">math&gt;.  Now there are just two numbers remaining, which you can add to get the final answer: &lt;math&gt;X = 12&lt;</del>/<del class="diffchange diffchange-inline">math&gt;.  </del></div></td><td class='diff-marker'>+</td><td style="color: #202122; 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;"><div>/<ins class="diffchange diffchange-inline">b</ins>/ /<ins class="diffchange diffchange-inline">b</ins>/ /<ins class="diffchange diffchange-inline">b</ins>/ /<ins class="diffchange diffchange-inline">b</ins>/ /<ins class="diffchange diffchange-inline">b</ins>/ 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border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">The '''associative property of addition''' is the fact that the answer does not depend on how the pairings are done. For example, we could have started with &lt;math&gt;4 + 5 = 9&lt;</del>/<del class="diffchange diffchange-inline">math&gt;, and then done &lt;math&gt;X = 3 + 9 = 12&lt;</del>/<del class="diffchange diffchange-inline">math&gt;.  We use parentheses to indicate the order of addition used.  For example, writing &lt;math&gt;(3 + 4)+ 5&lt;</del>/<del class="diffchange diffchange-inline">math&gt; means that you first add &lt;math&gt;3 + 4&lt;</del>/<del class="diffchange diffchange-inline">math&gt; then add the result by 5.  The associative property is expressed by the formula &lt;math&gt;(3+ 4) + 5 = 3 +(4 + 5)&lt;</del>/<del class="diffchange diffchange-inline">math&gt;.  </del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; 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;"><div> </div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; 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;"><div><del class="diffchange diffchange-inline">With more than three numbers, there can be many ways to do the addition.  For example, with 4 numbers one of the ways is &lt;math&gt;2 + 3 + 4 + 5 = ((2 + 3) + 4 )+ 5 = (5 + 4 )+ 5 = 9+ 5 = 14&lt;</del>/<del class="diffchange diffchange-inline">math&gt;.  </del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; 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;"><div> </div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; 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;"><div><del class="diffchange diffchange-inline">The [[associative property]] of addition is different from the [[commutative property]].  For example, addition of matrices has the associative property but is not commutative.  If &lt;math&gt;A&lt;</del>/<del class="diffchange diffchange-inline">math&gt;, &lt;math&gt;B&lt;</del>/<del class="diffchange diffchange-inline">math&gt;, and &lt;math&gt;C&lt;</del>/<del class="diffchange diffchange-inline">math&gt; are three matrices, then &lt;math&gt;A+(B + C)=(A+ B) + C &lt;</del>/<del class="diffchange diffchange-inline">math&gt; but &lt;math&gt;A+ B \neq B + A &lt;</del>/<del class="diffchange diffchange-inline">math&gt;.</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; 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;"><div><del class="diffchange diffchange-inline">[[category:algebra]]</del></div></td><td colspan="2"> </td></tr> </table>

AArrsefly https://www.conservapedia.com/index.php?title=Associative_property_of_addition&diff=473556&oldid=prev 2008-06-13T22:45:19Z

<p>copied the <a href="/Associative_property_of_multiplication" title="Associative property of multiplication">associative property of multiplication</a> article and change words, values appropriately</p> <p><b>New page</b></p><div>Basic [[addition]] is a ''pairwise'' [[operation (mathematics)|operation]]. To add more than two [[number]]s, you must combine them in pairs successively until all the numbers have been used. For example, to add &lt;math&gt;X = 3 + 4 + 5&lt;/math&gt; you first pick two consecutive numbers, say 3 and 4, and add them: &lt;math&gt;X = 7 + 5&lt;/math&gt;. Now there are just two numbers remaining, which you can add to get the final answer: &lt;math&gt;X = 12&lt;/math&gt;. <br /> <br /> The '''associative property of addition''' is the fact that the answer does not depend on how the pairings are done. For example, we could have started with &lt;math&gt;4 + 5 = 9&lt;/math&gt;, and then done &lt;math&gt;X = 3 + 9 = 12&lt;/math&gt;. We use parentheses to indicate the order of addition used. For example, writing &lt;math&gt;(3 + 4)+ 5&lt;/math&gt; means that you first add &lt;math&gt;3 + 4&lt;/math&gt; then add the result by 5. The associative property is expressed by the formula &lt;math&gt;(3+ 4) + 5 = 3 +(4 + 5)&lt;/math&gt;. <br /> <br /> With more than three numbers, there can be many ways to do the addition. For example, with 4 numbers one of the ways is &lt;math&gt;2 + 3 + 4 + 5 = ((2 + 3) + 4 )+ 5 = (5 + 4 )+ 5 = 9+ 5 = 14&lt;/math&gt;. <br /> <br /> The [[associative property]] of addition is different from the [[commutative property]]. For example, addition of matrices has the associative property but is not commutative. If &lt;math&gt;A&lt;/math&gt;, &lt;math&gt;B&lt;/math&gt;, and &lt;math&gt;C&lt;/math&gt; are three matrices, then &lt;math&gt;A+(B + C)=(A+ B) + C &lt;/math&gt; but &lt;math&gt;A+ B \neq B + A &lt;/math&gt;.<br /> [[category:algebra]]</div>

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