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NOMBRES DECIMAUX : ECRITURE REDUITE
Domaine Science Sous domaine Mathématiques
Section Cycle d'Orientation (C.O) Option Education de base
Discipline Algèbre Classe 8ème
Matériel didactique Table des opérations Auteur SCHOOLAP.COM
Objectif opérationnel A la fin de la leçon, l'élève sera capable de déterminer, classer les nombres décimaux.
Réference Programme national de math, 2005, KAYEMBE et Cie, maîtriser les maths 1 page 91
Activité initiale

Rappel

Lire correctement ces nombres :

a.  24, 2

b.  7, 143 

Rappel

Lire correctement ces nombres :

a.  24, 2

b.  7, 143 

a.  Vingt quatre unité douze centièmes

b.  Sept unité cent quarante trois millième.

Motivation

Comment appelle-t-on ce nombre 27, 732 ?

Motivation

Ce nombre 27, 732  est un nombre décimal. 

Annonce du Sujet

Aujourd'hui nous allons étudier les nombres décimaux : Ecriture réduite.

Annonce du Sujet

Aujourd'hui nous allons étudier les nombres décimaux : Ecriture réduite.

Activité principale

Analyse

Analyse

La valeur d'un nombre décimaux ne change pas, en écrivant ou en supprimant des zéros à droite de la partie décimale.

2, 6 = 2, 600 = 2, 6000

- 56, 0700 = - 56, 070 = -56, 07

Cependant, l'écriture réduite d'un nombre décimal est celle obtenue en supprimant les zéros à la droite de la partie décimale.

4, 70; 4, 700 et 4, 7000 son écriture réduite est 4, 7

3,001670 ; 3,001670 = 3,00167

-1, 750; - 1,7500 = - 1,75

Tout entier est un nombre décimal.

7 = 7, 0

26 = 26, 0

- 9 = - 9, 0

- 839 = - 839, 0

Un nombre décimal peut s'écrire comme une somme de deux nombres : un nombre entier et un nombre décimal de partie entière 0

2, 85 = 2 + 0, 85

- 32, 125 = - 32 + (-0, 125) 

Valeur absolue - valeur relative dans un nombre

Dans le nombre 33333,tous les 3 ont le même valeur absolue mais les valeurs relatives différentes.

Synthèse

Qu'est-ce que nous venons de voir?

Nous venons de voir les nombres décimaux : Ecriture réduite.

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