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Fiche de Révision et Exercices Corrigés: Calcul Littéral et Fonctions pour le Brevet

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Fiche de Révision et Exercices Corrigés: Calcul Littéral et Fonctions pour le Brevet
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Mélody

@mlody_itns

·

51 Abonnés

Suivre

Calcul littéral and numerical operations are essential topics in mathematics for 3ème students preparing for the brevet exam. This guide covers key concepts including distributivity, notable identities, equations, inequalities, functions, powers, and arithmetic.

Key points:

  • Distributivity and notable identities are fundamental for algebraic manipulations
  • Equations and inequalities help solve mathematical problems
  • Functions, including linear and affine, are represented graphically
  • Powers and their properties are crucial for simplifying expressions
  • Arithmetic concepts, including prime numbers, are important for number theory

02/06/2023

3692

CALCUL LITTERAL
Distributivité:
k (a+b) = Ka+ Kb
(a+b) k = ak+bk
24 x (3+5) =
Identites remarquables:
(a+b)² = a² + 2ab + b²
(a - b) ² = a ²

Voir

Numerical Calculations and Advanced Topics

This page delves into more advanced mathematical concepts, including powers, powers of 10, and arithmetic, which are crucial for exercice puissance brevet corrigé and exercice type brevet arithmétique avec correction.

Powers

The guide explains the basic properties of powers:

a^n = a × a × a × ... (n times) a^0 = 1 a^1 = a

Highlight: Understanding these properties is essential for simplifying expressions in exercices BREVET puissances PDF.

Powers of 10

Special attention is given to powers of 10, which are crucial in scientific notation:

10^n = 1 followed by n zeros 10^-n = 0.000...1 (with n-1 zeros before the 1)

Example: 10^3 = 1000, 10^-4 = 0.0001

The guide also covers operations with powers of 10:

10^m × 10^p = 10^(m+p) (10^m)^p = 10^(m×p)

These concepts are vital for exercices préfixes puissances de 10 PDF.

Arithmetic

The page concludes with an introduction to arithmetic, focusing on prime numbers:

Definition: Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

Example: The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

This section is particularly relevant for exercice type brevet arithmétique avec correction.

Highlight: Understanding prime numbers and their properties is crucial for solving more complex arithmetic problems in the brevet exam.

CALCUL LITTERAL
Distributivité:
k (a+b) = Ka+ Kb
(a+b) k = ak+bk
24 x (3+5) =
Identites remarquables:
(a+b)² = a² + 2ab + b²
(a - b) ² = a ²

Voir

Calcul Littéral and Numerical Operations

This page covers essential algebraic concepts and numerical operations crucial for 3ème students preparing for the brevet exam.

Distributivity

The distributive property is a fundamental concept in algebra. It states that:

k(a + b) = ka + kb (a + b)k = ak + bk

Example: 24 × (3 + 5) = 24 × 3 + 24 × 5

Notable Identities

These identities are essential for simplifying algebraic expressions:

(a + b)² = a² + 2ab + b² (a - b)² = a² - 2ab + b² (a + b)(a - b) = a² - b²

Highlight: Mastering these identities is crucial for exercice calcul littéral 3ème brevet success.

Equations and Inequalities

The guide provides examples of solving equations and inequalities, which are fundamental skills for calcul littéral 3ème exercices corrigés.

Example: 2(x + 3) = x + 3 2x + 6 = x + 3 x = -3

Functions

The page introduces different types of functions:

  • Affine function: f(x) = ax + b
  • Linear function: f(x) = ax
  • Constant function: f(x) = b

Definition: An affine function is represented by a straight line on a graph, while a linear function is a straight line passing through the origin.

Vocabulary: The slope of an affine function can be calculated using the formula: a = (y₂ - y₁) / (x₂ - x₁)

These concepts are essential for exercice fonction brevet avec corrigé PDF and sujet brevet fonction affine et linéaire.

Rien ne te convient ? Explore d'autres matières.

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J'aime tellement cette application [...] Je recommande Knowunity à tout le monde ! !! Je suis passé de 11 à 16 grâce à elle :D

Stefan S., utilisateur iOS

L'application est très simple à utiliser et bien faite. Jusqu'à présent, j'ai trouvé tout ce que je cherchais :D

Lola, utilisatrice iOS

J'adore cette application ❤️ Je l'utilise presque tout le temps pour réviser.

Fiche de Révision et Exercices Corrigés: Calcul Littéral et Fonctions pour le Brevet

user profile picture

Mélody

@mlody_itns

·

51 Abonnés

Suivre

Calcul littéral and numerical operations are essential topics in mathematics for 3ème students preparing for the brevet exam. This guide covers key concepts including distributivity, notable identities, equations, inequalities, functions, powers, and arithmetic.

Key points:

  • Distributivity and notable identities are fundamental for algebraic manipulations
  • Equations and inequalities help solve mathematical problems
  • Functions, including linear and affine, are represented graphically
  • Powers and their properties are crucial for simplifying expressions
  • Arithmetic concepts, including prime numbers, are important for number theory

02/06/2023

3692

 

3e

 

Maths

92

CALCUL LITTERAL
Distributivité:
k (a+b) = Ka+ Kb
(a+b) k = ak+bk
24 x (3+5) =
Identites remarquables:
(a+b)² = a² + 2ab + b²
(a - b) ² = a ²

Inscris-toi pour voir le contenu. C'est gratuit!

Accès à tous les documents

Améliore tes notes

Rejoins des millions d'étudiants

En t'inscrivant, tu acceptes les Conditions d'utilisation et la Politique de confidentialité.

Numerical Calculations and Advanced Topics

This page delves into more advanced mathematical concepts, including powers, powers of 10, and arithmetic, which are crucial for exercice puissance brevet corrigé and exercice type brevet arithmétique avec correction.

Powers

The guide explains the basic properties of powers:

a^n = a × a × a × ... (n times) a^0 = 1 a^1 = a

Highlight: Understanding these properties is essential for simplifying expressions in exercices BREVET puissances PDF.

Powers of 10

Special attention is given to powers of 10, which are crucial in scientific notation:

10^n = 1 followed by n zeros 10^-n = 0.000...1 (with n-1 zeros before the 1)

Example: 10^3 = 1000, 10^-4 = 0.0001

The guide also covers operations with powers of 10:

10^m × 10^p = 10^(m+p) (10^m)^p = 10^(m×p)

These concepts are vital for exercices préfixes puissances de 10 PDF.

Arithmetic

The page concludes with an introduction to arithmetic, focusing on prime numbers:

Definition: Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

Example: The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

This section is particularly relevant for exercice type brevet arithmétique avec correction.

Highlight: Understanding prime numbers and their properties is crucial for solving more complex arithmetic problems in the brevet exam.

CALCUL LITTERAL
Distributivité:
k (a+b) = Ka+ Kb
(a+b) k = ak+bk
24 x (3+5) =
Identites remarquables:
(a+b)² = a² + 2ab + b²
(a - b) ² = a ²

Inscris-toi pour voir le contenu. C'est gratuit!

Accès à tous les documents

Améliore tes notes

Rejoins des millions d'étudiants

En t'inscrivant, tu acceptes les Conditions d'utilisation et la Politique de confidentialité.

Calcul Littéral and Numerical Operations

This page covers essential algebraic concepts and numerical operations crucial for 3ème students preparing for the brevet exam.

Distributivity

The distributive property is a fundamental concept in algebra. It states that:

k(a + b) = ka + kb (a + b)k = ak + bk

Example: 24 × (3 + 5) = 24 × 3 + 24 × 5

Notable Identities

These identities are essential for simplifying algebraic expressions:

(a + b)² = a² + 2ab + b² (a - b)² = a² - 2ab + b² (a + b)(a - b) = a² - b²

Highlight: Mastering these identities is crucial for exercice calcul littéral 3ème brevet success.

Equations and Inequalities

The guide provides examples of solving equations and inequalities, which are fundamental skills for calcul littéral 3ème exercices corrigés.

Example: 2(x + 3) = x + 3 2x + 6 = x + 3 x = -3

Functions

The page introduces different types of functions:

  • Affine function: f(x) = ax + b
  • Linear function: f(x) = ax
  • Constant function: f(x) = b

Definition: An affine function is represented by a straight line on a graph, while a linear function is a straight line passing through the origin.

Vocabulary: The slope of an affine function can be calculated using the formula: a = (y₂ - y₁) / (x₂ - x₁)

These concepts are essential for exercice fonction brevet avec corrigé PDF and sujet brevet fonction affine et linéaire.

Rien ne te convient ? Explore d'autres matières.

Knowunity est la meilleure application scolaire dans cinq pays européens.

Knowunity a été mis en avant par Apple et a toujours été en tête des classements de l'App Store dans la catégorie Éducation en Allemagne, en Italie, en Pologne, en Suisse et au Royaume-Uni. Rejoins Knowunity aujourd'hui et aide des millions d'étudiants à travers le monde.

Ranked #1 Education App

Chargement dans le

Google Play

Chargement dans le

App Store

Knowunity est la meilleure application scolaire dans cinq pays européens.

4.9+

Note moyenne de l'appli

13 M

Les élèsves utilisent Knowunity

#1

Dans les palmarès des applications scolaires de 12 pays

950 K+

Les élèves publient leurs fiches de cours

Tu n'es toujours pas convaincu ? Regarde ce que disent les autres élèves ...

Louis B., utilisateur iOS

J'aime tellement cette application [...] Je recommande Knowunity à tout le monde ! !! Je suis passé de 11 à 16 grâce à elle :D

Stefan S., utilisateur iOS

L'application est très simple à utiliser et bien faite. Jusqu'à présent, j'ai trouvé tout ce que je cherchais :D

Lola, utilisatrice iOS

J'adore cette application ❤️ Je l'utilise presque tout le temps pour réviser.