# Download PDF by Cluzel R., Court H.: Arithmétique — Initiation à l’algèbre. Classes de 5e, 4e et By Cluzel R., Court H.

Desk des matières du livre :

Chapitre I. — Opérations sur les nombres entiers
1. Les nombres entiers
3. Multiplication. Produit
4. Suites d’additions et de multiplications. — utilization des parenthèses
5. Produits de sommes
6. Pratique de l’addition
7. Pratique de l. a. multiplication
8. Soustraction. Différence
9. Polynômes arithmétiques
10. Produits de différences
11. Pratique de l. a. soustraction
12. Multiples et diviseurs d’un nombre. — Quotient exact
13. Multiples et diviseurs d’un nombre (suite)
14. Quotient de deux nombres à une unité près

Chapitre II. — Divisibilité
15. Divisibilité par 2 et 5 ; par four et 25
16. Divisibilité par nine et par 3
17. Multiples et diviseurs communs à deux ou plusieurs nombres
18. Nombres premiers
19. Décomposition d’un nombre en un produit de facteurs premiers
20. Recherche des diviseurs d’un nombre
21. Plus grand commun diviseur
22. Plus petit commun multiple
23. Nombres premiers entre eux
Problèmes sur le chapitre II

Chapitre III. — Fractions et nombres décimaux
24. idea de fraction
25. Fractions égales
26. Simplification des fractions
27. Réduction des fractions au même dénominateur
28. Multiplication des fractions
29. department des fractions
30. Addition des fractions
31. Comparaison des fractions. — Soustraction des fractions
32. Opérations sur les sommes, différences et produits de nombres entiers ou fractionnaires
33. Fractions décimales. — Nombres décimaux
34. Opérations sur les nombres décimaux
35. Quotient de deux nombres à une unité décimale près
36. Fractions ordinaires et nombres décimaux
Problèmes sur le chapitre III

Chapitre IV. — Nombres complexes
37. Nombres complexes

Chapitre V. — Arithmétique littérale. — Résolution algébrique des problèmes
38. Expressions littérales
39. Égalités et équations
40. Résolution algébrique des problèmes

Chapitre VI. — Racine carrée
41. Racine carrée
42. Recherche de los angeles racine carrée d’un nombre
43. Extraction de l. a. racine carrée d’un nombre
Problèmes sur le chapitre VI

Chapitre VII. — Rapports et proportions. — Applications
44. Rapport de deux nombres
45. Proportions
46. Suite de rapports égaux. — Nombres proportionnels
47. Grandeurs proportionnelles
48. Pourcentages et bénéfices
49. Intérêts simples
50. Escompte commercial
Problèmes sur le chapitre VII

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Extra info for Arithmétique — Initiation à l’algèbre. Classes de 5e, 4e et 3e et Candidats aux Concours administratifs

Example text

Then, by identi fying the y-intercept from write the slope-intercept form of the equation of the the graph, line. 15. y N If you are having trouble with an even-numbered problem, work the corresponding odd-numbered problem. Check your answer in the back of the book, and apply the same steps to work the even-numbered problem. II A. y = 4x B. y = 1 x 4 C. y = - 4x D. y = - 2x + 1 E. y - 1 = - 21x - 42 Concept Check Match each equation with the graph in A–D that would resemble its graph. most closely 5.

1 2 = 3 2 4 3 3 + 2 = 2 4 4 3 5 ⎧ ⎪ ⎪ ⎨ ⎪ ⎪ ⎩ (b) 3 5 5 = 9 9 and Write 3 12 as 3 24 . Then add vertically. Add the whole numbers and the fractions separately. 5 1 1 = 5 + 1 = 6 , 4 4 4 or 25 4 NOW TRY The difference between two numbers is found by subtracting the numbers. For example, 9 - 5 = 4, so the difference between 9 and 5 is 4. Subtracting Fractions If NOW TRY ANSWERS 6. (a) 19 24 (b) 71 8 , or 8 78 c a and are fractions, then b b a c a؊c ؊ ‫؍‬ . b b b That is, to find the difference between two fractions having the same denominator, subtract the numerators and keep the same denominator.

B) Estimate the number of Internet users in Asia. (c) How many actual Internet users were there in Asia? (a) Which region had the largest share of Internet users? What was that share? 7 The sector for Asia is the largest, so Asia had the largest share of Internet users, 20 . (b) Estimate the number of Internet users in North America. 23 25 , or 14 , and the total number of Internet users, A share of 100 can be rounded to 100 970 million, can be rounded to 1000 million (1 billion). We multiply 14 by 1000.