« Calcul écrit/Calcul de la racine quatrième d'un nombre » : différence entre les versions

Contenu supprimé Contenu ajouté
CaBot (discussion | contributions)
m Bot : Indexation dans Catégorie:Calcul écrit (livre)
Aucun résumé des modifications
Ligne 50 :
 
puis on multiplie la somme (1268869184) par le chiffre 4 à essayer, ce qui donne 5075476736 que l'on retranche à gauche au nombre 5075476736, ce qui conduit à inscrire au dessous le nombre 0 ('''deuxième reste partiel'''). On place alors le chiffre 4 que l'on vient d'essayer et qui a conduit à une soustraction possible, à droite du nombre 68 ('''deuxième résultat partiel de la racine cherchée''') ce qui donne le '''troisième résultat partiel de la racine cherchée''', soit 684 qui est d'ailleurs la racine cubique exacte puisque le reste est égal à 0.
<table align="center">
 
<tr><th colspan="50">&nbsp;</th></tr>
 
<tr>
 
<th></th><th>2</th><th>1</th><th>8</th><th>8</th><th>&nbsp;</th><th>8</th><th>9</th><th>2</th><th>3</th><th>&nbsp;</th><th>6</th><th>7</th><th>3</th><th>6</th><th>&#9646;</th><th><font color="red">6</font></th><th><font color="red">8</font></th><th><font color="red">4</font></th><th></th><th>(</th><th>R</th><th>é</th><th>s</th><th>u</th><th>l</th><th>t</th><th>a</th><th>t</th><th>)</th><th colspan="20"></th>
 
</tr>
 
<tr>
[[Image:Racinequatrieme.jpeg]]
<th><font color="red">&#151;</font></th><th>1</th><th>2</th><th>9</th><th>6</th><th colspan="10"><th>&#9646;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th>
 
</tr>
<tr>
<th></th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th colspan="10"><th>&#9646;</th><th colspan="2"><th>4</th><th>&times;</th><th>6</th><th>0</th><th>&sup3;</th><th>=<th></th><th>8</th><th>6</th><th>4</th><th>0</th><th>0</th><th>0</th><th colspan="19"></th>
</tr>
<tr>
<th colspan="2"><th>8</th><th>9</th><th>2</th></th>&nbsp;<th><th>8</th><th>9</th><th>2</th><th>3</th><th colspan="5"><th>&#9646;</th><th>6</th><th>&times;</th><th>6</th><th>0</th><th>&sup2;</th><th>&times;</th><th>8</th><th>=<th></th><th>1</th><th>7</th><th>2</th><th>8</th><th>0</th><th>0</th><th colspan="19"></th>
</tr>
<tr>
<th></th><th><font color="red">&#151;</font></th><th>8</th><th>4</th><th>2</th><th>&nbsp;</th><th>1</th><th>3</th><th>7</th><th>6</th><th colspan="5"><th>&#9646;</th><th>4</th><th>&times;</th><th>6</th><th>0</th><th>&times;</th><th>8</th><th>&sup2;</th><th>=</th><th colspan="2"><th>1</th><th>5</th><th>3</th><th>6</th><th>0</th><th colspan="19"></th>
</tr>
<tr>
<th colspan="2"><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th colspan="10"><th>&#9646;</th><th colspan="5"><th>8</th><th>&sup3;</th><th>=</th><th colspan="4"><th>5</th><th>1</th><th>2</th><th colspan="19"></th>
</tr>
<tr>
<th colspan="3"></th><th>5</th><th>0</th><th></th>&nbsp;<th>7</th><th>5</th><th>4</th><th>7</th><th></th>&nbsp;<th>6</th><th>7</th><th>3</th><th>6</th><th>&#9646;</th><th colspan="2"><th>T</th><th>o</th><th>t</th><th>a</th><th>l</th><th>=</th><th>1</th><th>0</th><th>5</th><th>2</th><th>6</th><th>7</th><th>2</th><th>&times;</th><th>8</th><th>=</th><th>8</th><th>4</th><th>2</th><th>&nbsp;</th><th>1</th><th>3</th><th>7</th><th>6</th><th colspan="8"></th>
</tr>
<tr>
<th colspan="2"><th><font color="red">&#151;</font></th><th>5</th><th>0</th><th>&nbsp;</th><th>7</th><th>5</th><th>4</th><th>7</th><th>&nbsp;</th><th>6</th><th>7</th><th>3</th><th>6</th><th>&#9646;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th>
</tr>
<tr>
<th colspan="3"><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9644;</th><th>&#9646;</th><th colspan="2"><th>4</th><th>&times;</th><th>6</th><th>8</th><th>0</th><th>&sup3;</th><th>=</th><th>1</th><th>2</th><th>5</th><th>7</th><th>7</th><th>2</th><th>8</th><th>0</th><th>0</th><th>0</th><th colspan="15"></th>
</tr>
<tr>
<th colspan="8"><th>R</th><th>e</th><th>s</th><th>t</th><th>e</th><th></th><th>0</th><th>&#9646;</th><th>6</th><th>&times;</th><th>6</th><th>8</th><th>0</th><th>&sup2;</th><th>&times;</th><th>4</th><th>=</th><th colspan="2"><th>1</th><th>1</th><th>0</th><th>9</th><th>7</th><th>6</th><th>0</th><th>0</th><th colspan="15"></th>
</tr>
<tr>
<th colspan="15"><th>&#9646;</th><th>4</th><th>&times;</th><th>6</th><th>8</th><th>0</th><th>&times;</th><th>4</th><th>&sup2;</th><th>=</th><th colspan="5"><th>4</th><th>3</th><th>5</th><th>2</th><th>0</th><th colspan="15"></th>
</tr>
<tr>
<th colspan="15"><th>&#9646;</th><th colspan="6"><th>4</th><th>&sup3;</th><th>=</th><th colspan="8"></th><th>6</th><th>4</th><th colspan="15"></th>
</tr>
<tr>
<th colspan="15"><th>&#9646;</th><th colspan="3"><th>T</th><th>o</th><th>t</th><th>a</th><th>l</th><th>=</th><th>1</th><th>2</th><th>6</th><th>8</th><th>8</th><th>6</th><th>9</th><th>1</th><th>8</th><th>4</th><th>&times;</th><th>4</th><th>=</th><th>5</th><th>0</th><th>&nbsp;</th><th>7</th><th>5</th><th>4</th><th>7</th><th>&nbsp;</th><th>6</th><th>7</th><th>3</th><th>6</th>
</tr>
<tr><th colspan="50">&nbsp;</th></tr>
</table>
'''Justification'''