http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&action=history Versionsgeschichte für diese Seite in Online Mathematik Brückenkurs 1 de MediaWiki 1.11.1 Sat, 02 May 2026 20:42:28 GMT http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=9686&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 13:27, 8. Aug. 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>Indem wir 243 mehrmals mit 3 dividieren, sehen wir dass</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Indem wir 243 mehrmals mit 3 dividieren, sehen wir<ins style="color: red; font-weight: bold; text-decoration: none;">, </ins>dass</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td></tr> </table> Sat, 08 Aug 2009 13:27:36 GMT Moni http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/Diskussion:L%C3%B6sung_1.3:3b http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=8966&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 13:02, 8. Jun. 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>Indem wir 243 mehrmals mit 3 <del style="color: red; font-weight: bold; text-decoration: none;">divitieren</del>, sehen wir dass</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Indem wir 243 mehrmals mit 3 <ins style="color: red; font-weight: bold; text-decoration: none;">dividieren</ins>, sehen wir dass</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td></tr> </table> Mon, 08 Jun 2009 13:02:25 GMT Markus.bez http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/Diskussion:L%C3%B6sung_1.3:3b http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=8279&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 12:22, 29. Okt. 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">If we divide </del>243 <del style="color: red; font-weight: bold; text-decoration: none;">successively by </del>3, <del style="color: red; font-weight: bold; text-decoration: none;">we see that </del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Indem wir </ins>243 <ins style="color: red; font-weight: bold; text-decoration: none;">mehrmals mit </ins>3 <ins style="color: red; font-weight: bold; text-decoration: none;">divitieren</ins>, <ins style="color: red; font-weight: bold; text-decoration: none;">sehen wir dass</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Abgesetzte Formel||&lt;math&gt;\begin{align}</div></td></tr> </table> Wed, 29 Oct 2008 12:22:35 GMT Martin http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/Diskussion:L%C3%B6sung_1.3:3b http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=7161&oldid=prev <p>hat „<a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=Solution_1.3:3b&amp;action=edit" class="new" title="Solution 1.3:3b">Solution 1.3:3b</a>“ nach „<a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_1.3:3b" title="Lösung 1.3:3b">Lösung 1.3:3b</a>“ verschoben: Robot: moved page</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 13:33, 22. Okt. 2008</td> </tr> </table> Wed, 22 Oct 2008 13:33:45 GMT Tekbot http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/Diskussion:L%C3%B6sung_1.3:3b http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=6522&oldid=prev <p>Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 08:17, 22. Okt. 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>If we divide 243 successively by 3, we see that </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>If we divide 243 successively by 3, we see that </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>{{<del style="color: red; font-weight: bold; text-decoration: none;">Displayed math</del>||&lt;math&gt;\begin{align}</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>{{<ins style="color: red; font-weight: bold; text-decoration: none;">Abgesetzte Formel</ins>||&lt;math&gt;\begin{align}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>243 &amp;= 3\cdot 81 = 3\cdot 3\cdot 27 = 3\cdot 3\cdot 3\cdot 9 \\[5pt]</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>243 &amp;= 3\cdot 81 = 3\cdot 3\cdot 27 = 3\cdot 3\cdot 3\cdot 9 \\[5pt]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&amp;= 3\cdot 3\cdot 3\cdot 3\cdot 3 = 3^{5}\,\textrm{.}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&amp;= 3\cdot 3\cdot 3\cdot 3\cdot 3 = 3^{5}\,\textrm{.}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\end{align}&lt;/math&gt;}}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\end{align}&lt;/math&gt;}}</div></td></tr> </table> Wed, 22 Oct 2008 08:17:18 GMT Tekbot http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/Diskussion:L%C3%B6sung_1.3:3b http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=5360&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 13:07, 22. Sep. 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>If we divide </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>If we divide 243 successively by 3, we see that </div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;</del>243<del style="color: red; font-weight: bold; text-decoration: none;">&lt;/math&gt;</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>successively by </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;</del>3<del style="color: red; font-weight: bold; text-decoration: none;">&lt;/math&gt;</del>, we see that </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">{{Displayed math||</ins>&lt;math&gt;\begin{align}</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;math&gt;\begin{align}</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>243 <ins style="color: red; font-weight: bold; text-decoration: none;">&amp;</ins>= 3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>81 = 3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>27 = 3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>9 \\<ins style="color: red; font-weight: bold; text-decoration: none;">[5pt]</ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">&amp; </del>243=3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>81=3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>27=3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>9 \\ </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&amp;= 3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>3\<ins style="color: red; font-weight: bold; text-decoration: none;">cdot </ins>3 = 3^{5}\<ins style="color: red; font-weight: bold; text-decoration: none;">,</ins>\<ins style="color: red; font-weight: bold; text-decoration: none;">textrm{.}</ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">&amp; \\ </del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\end{align}&lt;/math&gt;<ins style="color: red; font-weight: bold; text-decoration: none;">}}</ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&amp; =3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>3\<del style="color: red; font-weight: bold; text-decoration: none;">centerdot </del>3=3^{5} \\ </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>\end{align}&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> </table> Mon, 22 Sep 2008 13:07:42 GMT Tek http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/Diskussion:L%C3%B6sung_1.3:3b http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=5084&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 11:34, 15. Sep. 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">{{NAVCONTENT_START}}</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">If we divide </ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;<del style="color: red; font-weight: bold; text-decoration: none;">center</del>&gt; <del style="color: red; font-weight: bold; text-decoration: none;">[[Image:1_3_3b.gif]] </del>&lt;/<del style="color: red; font-weight: bold; text-decoration: none;">center</del>&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;<ins style="color: red; font-weight: bold; text-decoration: none;">math</ins>&gt;<ins style="color: red; font-weight: bold; text-decoration: none;">243</ins>&lt;/<ins style="color: red; font-weight: bold; text-decoration: none;">math</ins>&gt;</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>{{<del style="color: red; font-weight: bold; text-decoration: none;">NAVCONTENT_STOP</del>}}</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">successively by </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;3&lt;/math&gt;, we see that </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&lt;math&gt;\begin</ins>{<ins style="color: red; font-weight: bold; text-decoration: none;">align}</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&amp; 243=3\centerdot 81=3\centerdot 3\centerdot 27=3\centerdot 3\centerdot 3\centerdot 9 \\ </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&amp; \\ </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">&amp; =3\centerdot 3\centerdot 3\centerdot 3\centerdot 3=3^</ins>{<ins style="color: red; font-weight: bold; text-decoration: none;">5</ins>} <ins style="color: red; font-weight: bold; text-decoration: none;">\\ </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">\end{align</ins>}<ins style="color: red; font-weight: bold; text-decoration: none;">&lt;/math&gt;</ins></div></td></tr> </table> Mon, 15 Sep 2008 11:34:13 GMT Ian http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/Diskussion:L%C3%B6sung_1.3:3b http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=3039&oldid=prev <p><a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sning_1.3:3b&amp;action=edit" class="new" title="Lösning 1.3:3b">Lösning 1.3:3b</a> moved to <a href="/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=Solution_1.3:3b&amp;action=edit" class="new" title="Solution 1.3:3b">Solution 1.3:3b</a>: Robot: moved page</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 08:23, 9. Sep. 2008</td> </tr> </table> Tue, 09 Sep 2008 08:23:23 GMT Tekbot http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/Diskussion:L%C3%B6sung_1.3:3b http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php?title=L%C3%B6sung_1.3:3b&diff=2179&oldid=prev <p>Robot: Automated text replacement (-[[Bild: +[[Image:)</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black;">Version vom 06:28, 21. 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