Table de multiplication

Un outil pour multiplier rapidement

Il y a 5 boîtes vides, et chaque boîte doit contenir 9 crayons pour être pleine.

Hugo veut trouver le nombre total de crayons nécessaires. Comment pouvons-nous l'aider à calculer cela ?

Hugo pourrait utiliser l'addition répétée : $$9+9+9+9+9$$Mais cela peut être lent. Un moyen beaucoup plus rapide est d'utiliser la multiplication :$$5 \times 9$$Si nous connaissons nos tables de multiplication, nous connaissons la réponse instantanément ! Comme nous savons que $\textcolor{colordef}{5}\times \textcolor{colorprop}{9}=\textcolor{olive}{45}$, Hugo a besoin de 45 crayons. C'est pourquoi apprendre les tables de multiplication est si utile : elles sont un raccourci pour résoudre les problèmes rapidement !

Définition Table de multiplication

Une table de multiplication est un tableau utile qui montre les résultats de la multiplication d'un nombre par d'autres nombres (généralement de 0 à 10). Chaque nombre a sa propre table de multiplication.

Exemple

Utilise la table de multiplication de 4 pour calculer $4\times 9$.$$\begin{aligned}\textcolor{colordef}{4}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{1}&=\textcolor{olive}{4}\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{2}&=\textcolor{olive}{8 }\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{3}&=\textcolor{olive}{12 }\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{4}&=\textcolor{olive}{16 }\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{5}&=\textcolor{olive}{20 }\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{6}&=\textcolor{olive}{24 }\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{7}&=\textcolor{olive}{28 }\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{8}&=\textcolor{olive}{32 }\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{9}&=\textcolor{olive}{36 }\\ \textcolor{colordef}{4}\times \textcolor{colorprop}{10}&=\textcolor{olive}{40}\end{aligned}$$

Correction

En regardant la table de multiplication de 4, on peut trouver la ligne pour $4\times 9$ et voir que la réponse est 36.

Révision de nos premières tables

Proposition Tables de 2$\virgule$ 3$\virgule$ 4$\virgule$ 5 et 10

$\begin{aligned} \textcolor{colordef}{2}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\\textcolor{colordef}{2}\times \textcolor{colorprop}{1}&=\textcolor{olive}{2}\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{2}&=\textcolor{olive}{4 }\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{3}&=\textcolor{olive}{6 }\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{4}&=\textcolor{olive}{8 }\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{5}&=\textcolor{olive}{10 }\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{6}&=\textcolor{olive}{12 }\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{7}&=\textcolor{olive}{14 }\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{8}&=\textcolor{olive}{16 }\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{9}&=\textcolor{olive}{18 }\\ \textcolor{colordef}{2}\times \textcolor{colorprop}{10}&=\textcolor{olive}{20}\end{aligned}$ $\quad \quad$ $\begin{aligned}\textcolor{colordef}{3}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\\textcolor{colordef}{3}\times \textcolor{colorprop}{1}&=\textcolor{olive}{3}\\\textcolor{colordef}{3}\times \textcolor{colorprop}{2}&=\textcolor{olive}{6 }\\\textcolor{colordef}{3}\times \textcolor{colorprop}{3}&=\textcolor{olive}{9 }\\\textcolor{colordef}{3}\times \textcolor{colorprop}{4}&=\textcolor{olive}{12 }\\\textcolor{colordef}{3}\times \textcolor{colorprop}{5}&=\textcolor{olive}{15 }\\\textcolor{colordef}{3}\times \textcolor{colorprop}{6}&=\textcolor{olive}{18 }\\\textcolor{colordef}{3}\times \textcolor{colorprop}{7}&=\textcolor{olive}{21 }\\\textcolor{colordef}{3}\times \textcolor{colorprop}{8}&=\textcolor{olive}{24 }\\\textcolor{colordef}{3}\times \textcolor{colorprop}{9}&=\textcolor{olive}{27 }\\\textcolor{colordef}{3}\times \textcolor{colorprop}{10}&=\textcolor{olive}{30}\end{aligned}$ $\quad \quad$ $\begin{aligned}\textcolor{colordef}{4}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\\textcolor{colordef}{4}\times \textcolor{colorprop}{1}&=\textcolor{olive}{4}\\\textcolor{colordef}{4}\times \textcolor{colorprop}{2}&=\textcolor{olive}{8 }\\\textcolor{colordef}{4}\times \textcolor{colorprop}{3}&=\textcolor{olive}{12 }\\\textcolor{colordef}{4}\times \textcolor{colorprop}{4}&=\textcolor{olive}{16 }\\\textcolor{colordef}{4}\times \textcolor{colorprop}{5}&=\textcolor{olive}{20 }\\\textcolor{colordef}{4}\times \textcolor{colorprop}{6}&=\textcolor{olive}{24 }\\\textcolor{colordef}{4}\times \textcolor{colorprop}{7}&=\textcolor{olive}{28 }\\\textcolor{colordef}{4}\times \textcolor{colorprop}{8}&=\textcolor{olive}{32 }\\\textcolor{colordef}{4}\times \textcolor{colorprop}{9}&=\textcolor{olive}{36 }\\\textcolor{colordef}{4}\times \textcolor{colorprop}{10}&=\textcolor{olive}{40}\end{aligned}$ $\quad \quad$ $\begin{aligned}\textcolor{colordef}{5}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\\textcolor{colordef}{5}\times \textcolor{colorprop}{1}&=\textcolor{olive}{5}\\\textcolor{colordef}{5}\times \textcolor{colorprop}{2}&=\textcolor{olive}{10 }\\\textcolor{colordef}{5}\times \textcolor{colorprop}{3}&=\textcolor{olive}{15 }\\\textcolor{colordef}{5}\times \textcolor{colorprop}{4}&=\textcolor{olive}{20 }\\\textcolor{colordef}{5}\times \textcolor{colorprop}{5}&=\textcolor{olive}{25 }\\\textcolor{colordef}{5}\times \textcolor{colorprop}{6}&=\textcolor{olive}{30 }\\\textcolor{colordef}{5}\times \textcolor{colorprop}{7}&=\textcolor{olive}{35 }\\\textcolor{colordef}{5}\times \textcolor{colorprop}{8}&=\textcolor{olive}{40 }\\\textcolor{colordef}{5}\times \textcolor{colorprop}{9}&=\textcolor{olive}{45 }\\\textcolor{colordef}{5}\times \textcolor{colorprop}{10}&=\textcolor{olive}{50}\end{aligned}$ $\quad \quad$ $\begin{aligned}\textcolor{colordef}{10} \times \textcolor{colorprop}{0} &= \textcolor{olive}{0} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{1} &= \textcolor{olive}{10} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{2} &= \textcolor{olive}{20} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{3} &= \textcolor{olive}{30} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{4} &= \textcolor{olive}{40} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{5} &= \textcolor{olive}{50} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{6} &= \textcolor{olive}{60} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{7} &= \textcolor{olive}{70} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{8} &= \textcolor{olive}{80} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{9} &= \textcolor{olive}{90} \\\textcolor{colordef}{10} \times \textcolor{colorprop}{10} &= \textcolor{olive}{100}\end{aligned}$

La table de multiplication de 6

Découverte

Combien y a-t-il de points au total sur ces 4 dominos ?

Correction

Nous avons 4 groupes de 6. On peut compter de 6 en 6 : 6, 12, 18, 24.

Il y a $4 \times 6 = 6 + 6 + 6 + 6 = 24$ points.

Proposition Table de multiplication de6

$\begin{aligned}\textcolor{colordef}{6}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\\textcolor{colordef}{6}\times \textcolor{colorprop}{1}&=\textcolor{olive}{6}\\\textcolor{colordef}{6}\times \textcolor{colorprop}{2}&=\textcolor{olive}{12 }\\\textcolor{colordef}{6}\times \textcolor{colorprop}{3}&=\textcolor{olive}{18 }\\\textcolor{colordef}{6}\times \textcolor{colorprop}{4}&=\textcolor{olive}{24 }\\\textcolor{colordef}{6}\times \textcolor{colorprop}{5}&=\textcolor{olive}{30 }\\\textcolor{colordef}{6}\times \textcolor{colorprop}{6}&=\textcolor{olive}{36 }\\\textcolor{colordef}{6}\times \textcolor{colorprop}{7}&=\textcolor{olive}{42 }\\\textcolor{colordef}{6}\times \textcolor{colorprop}{8}&=\textcolor{olive}{48 }\\\textcolor{colordef}{6}\times \textcolor{colorprop}{9}&=\textcolor{olive}{54 }\\\textcolor{colordef}{6}\times \textcolor{colorprop}{10}&=\textcolor{olive}{60}\end{aligned}$ $\quad \quad$ $\begin{aligned}\textcolor{colordef}{0}\times \textcolor{colorprop}{6}&=\textcolor{olive}{0}\\\textcolor{colordef}{1}\times \textcolor{colorprop}{6}&=\textcolor{olive}{6}\\\textcolor{colordef}{2}\times \textcolor{colorprop}{6}&=\textcolor{olive}{12}\\\textcolor{colordef}{3}\times \textcolor{colorprop}{6}&=\textcolor{olive}{18}\\\textcolor{colordef}{4}\times \textcolor{colorprop}{6}&=\textcolor{olive}{24}\\\textcolor{colordef}{5}\times \textcolor{colorprop}{6}&=\textcolor{olive}{30}\\\textcolor{colordef}{6}\times \textcolor{colorprop}{6}&=\textcolor{olive}{36}\\\textcolor{colordef}{7}\times \textcolor{colorprop}{6}&=\textcolor{olive}{42}\\\textcolor{colordef}{8}\times \textcolor{colorprop}{6}&=\textcolor{olive}{48}\\\textcolor{colordef}{9}\times \textcolor{colorprop}{6}&=\textcolor{olive}{54}\\\textcolor{colordef}{10}\times \textcolor{colorprop}{6}&=\textcolor{olive}{60}\end{aligned}$

La table de multiplication de 7

Découverte

Il y a 7 jours dans une semaine. Combien de jours y a-t-il dans 4 semaines ?

Correction

Nous avons 4 groupes de 7. On peut compter de 7 en 7 : 7, 14, 21, 28 jours.

Il y a $4 \times 7 = 7 + 7 + 7 + 7 = 28$ jours.

Proposition Table de multiplication de 7

$\begin{aligned}\textcolor{colordef}{7}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\\textcolor{colordef}{7}\times \textcolor{colorprop}{1}&=\textcolor{olive}{7}\\\textcolor{colordef}{7}\times \textcolor{colorprop}{2}&=\textcolor{olive}{14 }\\\textcolor{colordef}{7}\times \textcolor{colorprop}{3}&=\textcolor{olive}{21 }\\\textcolor{colordef}{7}\times \textcolor{colorprop}{4}&=\textcolor{olive}{28 }\\\textcolor{colordef}{7}\times \textcolor{colorprop}{5}&=\textcolor{olive}{35 }\\\textcolor{colordef}{7}\times \textcolor{colorprop}{6}&=\textcolor{olive}{42 }\\\textcolor{colordef}{7}\times \textcolor{colorprop}{7}&=\textcolor{olive}{49 }\\\textcolor{colordef}{7}\times \textcolor{colorprop}{8}&=\textcolor{olive}{56 }\\\textcolor{colordef}{7}\times \textcolor{colorprop}{9}&=\textcolor{olive}{63 }\\\textcolor{colordef}{7}\times \textcolor{colorprop}{10}&=\textcolor{olive}{70}\end{aligned}$ $\quad \quad$ $\begin{aligned}\textcolor{colordef}{0}\times \textcolor{colorprop}{7}&=\textcolor{olive}{0}\\\textcolor{colordef}{1}\times \textcolor{colorprop}{7}&=\textcolor{olive}{7}\\\textcolor{colordef}{2}\times \textcolor{colorprop}{7}&=\textcolor{olive}{14}\\\textcolor{colordef}{3}\times \textcolor{colorprop}{7}&=\textcolor{olive}{21}\\\textcolor{colordef}{4}\times \textcolor{colorprop}{7}&=\textcolor{olive}{28}\\\textcolor{colordef}{5}\times \textcolor{colorprop}{7}&=\textcolor{olive}{35}\\\textcolor{colordef}{6}\times \textcolor{colorprop}{7}&=\textcolor{olive}{42}\\\textcolor{colordef}{7}\times \textcolor{colorprop}{7}&=\textcolor{olive}{49}\\\textcolor{colordef}{8}\times \textcolor{colorprop}{7}&=\textcolor{olive}{56}\\\textcolor{colordef}{9}\times \textcolor{colorprop}{7}&=\textcolor{olive}{63}\\\textcolor{colordef}{10}\times \textcolor{colorprop}{7}&=\textcolor{olive}{70}\end{aligned}$

La table de multiplication de 8

Découverte

Une araignée a 8 pattes. Combien de pattes 4 araignées ont-elles en tout ?

Correction

Nous avons 4 groupes de 8. On peut compter de 8 en 8 : 8, 16, 24, 32 pattes.

Il y a $4 \times 8 = 8 + 8 + 8 + 8 = 32$ pattes.

Proposition Table de multiplication de8

$\begin{aligned}\textcolor{colordef}{8}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\\textcolor{colordef}{8}\times \textcolor{colorprop}{1}&=\textcolor{olive}{8}\\\textcolor{colordef}{8}\times \textcolor{colorprop}{2}&=\textcolor{olive}{16 }\\\textcolor{colordef}{8}\times \textcolor{colorprop}{3}&=\textcolor{olive}{24 }\\\textcolor{colordef}{8}\times \textcolor{colorprop}{4}&=\textcolor{olive}{32 }\\\textcolor{colordef}{8}\times \textcolor{colorprop}{5}&=\textcolor{olive}{40 }\\\textcolor{colordef}{8}\times \textcolor{colorprop}{6}&=\textcolor{olive}{48 }\\\textcolor{colordef}{8}\times \textcolor{colorprop}{7}&=\textcolor{olive}{56 }\\\textcolor{colordef}{8}\times \textcolor{colorprop}{8}&=\textcolor{olive}{64 }\\\textcolor{colordef}{8}\times \textcolor{colorprop}{9}&=\textcolor{olive}{72 }\\\textcolor{colordef}{8}\times \textcolor{colorprop}{10}&=\textcolor{olive}{80}\end{aligned}$ $\quad \quad$ $\begin{aligned}\textcolor{colordef}{0}\times \textcolor{colorprop}{8}&=\textcolor{olive}{0}\\\textcolor{colordef}{1}\times \textcolor{colorprop}{8}&=\textcolor{olive}{8}\\\textcolor{colordef}{2}\times \textcolor{colorprop}{8}&=\textcolor{olive}{16}\\\textcolor{colordef}{3}\times \textcolor{colorprop}{8}&=\textcolor{olive}{24}\\\textcolor{colordef}{4}\times \textcolor{colorprop}{8}&=\textcolor{olive}{32}\\\textcolor{colordef}{5}\times \textcolor{colorprop}{8}&=\textcolor{olive}{40}\\\textcolor{colordef}{6}\times \textcolor{colorprop}{8}&=\textcolor{olive}{48}\\\textcolor{colordef}{7}\times \textcolor{colorprop}{8}&=\textcolor{olive}{56}\\\textcolor{colordef}{8}\times \textcolor{colorprop}{8}&=\textcolor{olive}{64}\\\textcolor{colordef}{9}\times \textcolor{colorprop}{8}&=\textcolor{olive}{72}\\\textcolor{colordef}{10}\times \textcolor{colorprop}{8}&=\textcolor{olive}{80}\end{aligned}$

La table de multiplication de 9

Découverte

Il y a 9 joueurs dans une équipe de baseball. Combien de joueurs y a-t-il dans 5 équipes ?

Correction

Nous avons 5 groupes de 9. On peut compter de 9 en 9 : 9, 18, 27, 36, 45 joueurs.

Il y a $5 \times 9 = 9 + 9 + 9 + 9 + 9 = 45$ joueurs.

Proposition Table de multiplication de 9

$\begin{aligned}\textcolor{colordef}{9}\times \textcolor{colorprop}{0}&=\textcolor{olive}{0}\\\textcolor{colordef}{9}\times \textcolor{colorprop}{1}&=\textcolor{olive}{9}\\\textcolor{colordef}{9}\times \textcolor{colorprop}{2}&=\textcolor{olive}{18 }\\\textcolor{colordef}{9}\times \textcolor{colorprop}{3}&=\textcolor{olive}{27 }\\\textcolor{colordef}{9}\times \textcolor{colorprop}{4}&=\textcolor{olive}{36 }\\\textcolor{colordef}{9}\times \textcolor{colorprop}{5}&=\textcolor{olive}{45 }\\\textcolor{colordef}{9}\times \textcolor{colorprop}{6}&=\textcolor{olive}{54 }\\\textcolor{colordef}{9}\times \textcolor{colorprop}{7}&=\textcolor{olive}{63 }\\\textcolor{colordef}{9}\times \textcolor{colorprop}{8}&=\textcolor{olive}{72 }\\\textcolor{colordef}{9}\times \textcolor{colorprop}{9}&=\textcolor{olive}{81 }\\\textcolor{colordef}{9}\times \textcolor{colorprop}{10}&=\textcolor{olive}{90}\end{aligned}$ $\quad \quad$ $\begin{aligned}\textcolor{colordef}{0}\times \textcolor{colorprop}{9}&=\textcolor{olive}{0}\\\textcolor{colordef}{1}\times \textcolor{colorprop}{9}&=\textcolor{olive}{9}\\\textcolor{colordef}{2}\times \textcolor{colorprop}{9}&=\textcolor{olive}{18}\\\textcolor{colordef}{3}\times \textcolor{colorprop}{9}&=\textcolor{olive}{27}\\\textcolor{colordef}{4}\times \textcolor{colorprop}{9}&=\textcolor{olive}{36}\\\textcolor{colordef}{5}\times \textcolor{colorprop}{9}&=\textcolor{olive}{45}\\\textcolor{colordef}{6}\times \textcolor{colorprop}{9}&=\textcolor{olive}{54}\\\textcolor{colordef}{7}\times \textcolor{colorprop}{9}&=\textcolor{olive}{63}\\\textcolor{colordef}{8}\times \textcolor{colorprop}{9}&=\textcolor{olive}{72}\\\textcolor{colordef}{9}\times \textcolor{colorprop}{9}&=\textcolor{olive}{81}\\\textcolor{colordef}{10}\times \textcolor{colorprop}{9}&=\textcolor{olive}{90}\end{aligned}$

La grille de multiplication complète

Proposition Toutes les tables de multiplication de 1 à 10

Cette grille est un outil puissant qui montre toutes les tables de 1 à 10 en un seul endroit. Pour trouver la réponse à un problème comme $7 \times 8$, trouve la ligne du 7 et la colonne du 8, et regarde où elles se croisent !

$\times$	$\textcolor{colorprop}{1}$	$\textcolor{colorprop}{2}$	$\textcolor{colorprop}{3}$	$\textcolor{colorprop}{4}$	$\textcolor{colorprop}{5}$	$\textcolor{colorprop}{6}$	$\textcolor{colorprop}{7}$	$\textcolor{colorprop}{8}$	$\textcolor{colorprop}{9}$	$\textcolor{colorprop}{10}$
$\textcolor{colordef}{1}$	$\textcolor{olive}{1}$	$\textcolor{olive}{2}$	$\textcolor{olive}{3}$	$\textcolor{olive}{4}$	$\textcolor{olive}{5}$	$\textcolor{olive}{6}$	$\textcolor{olive}{7}$	$\textcolor{olive}{8}$	$\textcolor{olive}{9}$	$\textcolor{olive}{10}$
$\textcolor{colordef}{2}$	$\textcolor{olive}{2}$	$\textcolor{olive}{4}$	$\textcolor{olive}{6}$	$\textcolor{olive}{8}$	$\textcolor{olive}{10}$	$\textcolor{olive}{12}$	$\textcolor{olive}{14}$	$\textcolor{olive}{16}$	$\textcolor{olive}{18}$	$\textcolor{olive}{20}$
$\textcolor{colordef}{3}$	$\textcolor{olive}{3}$	$\textcolor{olive}{6}$	$\textcolor{olive}{9}$	$\textcolor{olive}{12}$	$\textcolor{olive}{15}$	$\textcolor{olive}{18}$	$\textcolor{olive}{21}$	$\textcolor{olive}{24}$	$\textcolor{olive}{27}$	$\textcolor{olive}{30}$
$\textcolor{colordef}{4}$	$\textcolor{olive}{4}$	$\textcolor{olive}{8}$	$\textcolor{olive}{12}$	$\textcolor{olive}{16}$	$\textcolor{olive}{20}$	$\textcolor{olive}{24}$	$\textcolor{olive}{28}$	$\textcolor{olive}{32}$	$\textcolor{olive}{36}$	$\textcolor{olive}{40}$
$\textcolor{colordef}{5}$	$\textcolor{olive}{5}$	$\textcolor{olive}{10}$	$\textcolor{olive}{15}$	$\textcolor{olive}{20}$	$\textcolor{olive}{25}$	$\textcolor{olive}{30}$	$\textcolor{olive}{35}$	$\textcolor{olive}{40}$	$\textcolor{olive}{45}$	$\textcolor{olive}{50}$
$\textcolor{colordef}{6}$	$\textcolor{olive}{6}$	$\textcolor{olive}{12}$	$\textcolor{olive}{18}$	$\textcolor{olive}{24}$	$\textcolor{olive}{30}$	$\textcolor{olive}{36}$	$\textcolor{olive}{42}$	$\textcolor{olive}{48}$	$\textcolor{olive}{54}$	$\textcolor{olive}{60}$
$\textcolor{colordef}{7}$	$\textcolor{olive}{7}$	$\textcolor{olive}{14}$	$\textcolor{olive}{21}$	$\textcolor{olive}{28}$	$\textcolor{olive}{35}$	$\textcolor{olive}{42}$	$\textcolor{olive}{49}$	$\textcolor{olive}{56}$	$\textcolor{olive}{63}$	$\textcolor{olive}{70}$
$\textcolor{colordef}{8}$	$\textcolor{olive}{8}$	$\textcolor{olive}{16}$	$\textcolor{olive}{24}$	$\textcolor{olive}{32}$	$\textcolor{olive}{40}$	$\textcolor{olive}{48}$	$\textcolor{olive}{56}$	$\textcolor{olive}{64}$	$\textcolor{olive}{72}$	$\textcolor{olive}{80}$
$\textcolor{colordef}{9}$	$\textcolor{olive}{9}$	$\textcolor{olive}{18}$	$\textcolor{olive}{27}$	$\textcolor{olive}{36}$	$\textcolor{olive}{45}$	$\textcolor{olive}{54}$	$\textcolor{olive}{63}$	$\textcolor{olive}{72}$	$\textcolor{olive}{81}$	$\textcolor{olive}{90}$
$\textcolor{colordef}{10}$	$\textcolor{olive}{10}$	$\textcolor{olive}{20}$	$\textcolor{olive}{30}$	$\textcolor{olive}{40}$	$\textcolor{olive}{50}$	$\textcolor{olive}{60}$	$\textcolor{olive}{70}$	$\textcolor{olive}{80}$	$\textcolor{olive}{90}$	$\textcolor{olive}{100}$

\(\times\)	\(\textcolor{colorprop}{1}\)	\(\textcolor{colorprop}{2}\)	\(\textcolor{colorprop}{3}\)	\(\textcolor{colorprop}{4}\)	\(\textcolor{colorprop}{5}\)	\(\textcolor{colorprop}{6}\)	\(\textcolor{colorprop}{7}\)	\(\textcolor{colorprop}{8}\)	\(\textcolor{colorprop}{9}\)	\(\textcolor{colorprop}{10}\)
\(\textcolor{colordef}{1}\)	\(\textcolor{olive}{1}\)	\(\textcolor{olive}{2}\)	\(\textcolor{olive}{3}\)	\(\textcolor{olive}{4}\)	\(\textcolor{olive}{5}\)	\(\textcolor{olive}{6}\)	\(\textcolor{olive}{7}\)	\(\textcolor{olive}{8}\)	\(\textcolor{olive}{9}\)	\(\textcolor{olive}{10}\)
\(\textcolor{colordef}{2}\)	\(\textcolor{olive}{2}\)	\(\textcolor{olive}{4}\)	\(\textcolor{olive}{6}\)	\(\textcolor{olive}{8}\)	\(\textcolor{olive}{10}\)	\(\textcolor{olive}{12}\)	\(\textcolor{olive}{14}\)	\(\textcolor{olive}{16}\)	\(\textcolor{olive}{18}\)	\(\textcolor{olive}{20}\)
\(\textcolor{colordef}{3}\)	\(\textcolor{olive}{3}\)	\(\textcolor{olive}{6}\)	\(\textcolor{olive}{9}\)	\(\textcolor{olive}{12}\)	\(\textcolor{olive}{15}\)	\(\textcolor{olive}{18}\)	\(\textcolor{olive}{21}\)	\(\textcolor{olive}{24}\)	\(\textcolor{olive}{27}\)	\(\textcolor{olive}{30}\)
\(\textcolor{colordef}{4}\)	\(\textcolor{olive}{4}\)	\(\textcolor{olive}{8}\)	\(\textcolor{olive}{12}\)	\(\textcolor{olive}{16}\)	\(\textcolor{olive}{20}\)	\(\textcolor{olive}{24}\)	\(\textcolor{olive}{28}\)	\(\textcolor{olive}{32}\)	\(\textcolor{olive}{36}\)	\(\textcolor{olive}{40}\)
\(\textcolor{colordef}{5}\)	\(\textcolor{olive}{5}\)	\(\textcolor{olive}{10}\)	\(\textcolor{olive}{15}\)	\(\textcolor{olive}{20}\)	\(\textcolor{olive}{25}\)	\(\textcolor{olive}{30}\)	\(\textcolor{olive}{35}\)	\(\textcolor{olive}{40}\)	\(\textcolor{olive}{45}\)	\(\textcolor{olive}{50}\)
\(\textcolor{colordef}{6}\)	\(\textcolor{olive}{6}\)	\(\textcolor{olive}{12}\)	\(\textcolor{olive}{18}\)	\(\textcolor{olive}{24}\)	\(\textcolor{olive}{30}\)	\(\textcolor{olive}{36}\)	\(\textcolor{olive}{42}\)	\(\textcolor{olive}{48}\)	\(\textcolor{olive}{54}\)	\(\textcolor{olive}{60}\)
\(\textcolor{colordef}{7}\)	\(\textcolor{olive}{7}\)	\(\textcolor{olive}{14}\)	\(\textcolor{olive}{21}\)	\(\textcolor{olive}{28}\)	\(\textcolor{olive}{35}\)	\(\textcolor{olive}{42}\)	\(\textcolor{olive}{49}\)	\(\textcolor{olive}{56}\)	\(\textcolor{olive}{63}\)	\(\textcolor{olive}{70}\)
\(\textcolor{colordef}{8}\)	\(\textcolor{olive}{8}\)	\(\textcolor{olive}{16}\)	\(\textcolor{olive}{24}\)	\(\textcolor{olive}{32}\)	\(\textcolor{olive}{40}\)	\(\textcolor{olive}{48}\)	\(\textcolor{olive}{56}\)	\(\textcolor{olive}{64}\)	\(\textcolor{olive}{72}\)	\(\textcolor{olive}{80}\)
\(\textcolor{colordef}{9}\)	\(\textcolor{olive}{9}\)	\(\textcolor{olive}{18}\)	\(\textcolor{olive}{27}\)	\(\textcolor{olive}{36}\)	\(\textcolor{olive}{45}\)	\(\textcolor{olive}{54}\)	\(\textcolor{olive}{63}\)	\(\textcolor{olive}{72}\)	\(\textcolor{olive}{81}\)	\(\textcolor{olive}{90}\)
\(\textcolor{colordef}{10}\)	\(\textcolor{olive}{10}\)	\(\textcolor{olive}{20}\)	\(\textcolor{olive}{30}\)	\(\textcolor{olive}{40}\)	\(\textcolor{olive}{50}\)	\(\textcolor{olive}{60}\)	\(\textcolor{olive}{70}\)	\(\textcolor{olive}{80}\)	\(\textcolor{olive}{90}\)	\(\textcolor{olive}{100}\)