thalés


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Égalité de deux quotients

Un nombre divisé par lui même est égal à 1. 1 est l' élément neutre de la multiplication et de la division

 

Démontrons la règle  du produit en croix : Soit a, b, c et d quatre nombres non nuls.
Si
j'ai le droit, sans modifier l'égalité, de multiplier chaque côté, par le même nombre.
Je choisis un des dénominateurs par exemple b ce qui me donne;
, on voit bien qu'à gauche
Équation complète,
on fait pareil avec le deuxième dénominateur, ça nous donnera

Règle du produit en croix

 

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