Réponse 1 :

a) 5+10-3×2÷6= 5+10-(3×2) ÷6

=15-(6÷6)

=15-1

=14

b) -25-5×3+8÷2=-25-(5×3) + (8÷2)

=-25-15+4

=-40+4

=-36

c) (3+7)×2+ (15+3) ×4= (10×2) + (18×4)

= 20+ 72

= 92

d) 68+32÷ (-8) = 68-4

=64

e) 48+ [(-11+3) ×2 + (4+24) ÷7] = 48+[(-8×2)+(28÷7)]

= 48+ (-16+4)

=48-12

=36

Réponse 2 :

a) 114000+26000 = 140000 = 140000

26000+ 40000 26000+ 40000 26000+40000×100

1-48% 0.52 52

= 140000 = 140000

26000+4000000 1352000+4000000

52 52

= 140000 =140000×52

5352000 5352000

52

=7280000 = 7280

5352000 5352

=910 = 1.36

669

b) -45-(-5) +5×21 = -45+5+5×21

-6+49÷(-7) -6-7

= -40+105

-13

= -65

13

= -5

c) 150000 = 150000

1- 3 4-3

4 4

= 150000

1

4

= 150000 × 4

= 600000

d) 80000(2-1.60) = 80000 × 0.4

80000(2-1.60)-12000 80000 × 0.4 -12000

= 32000

32000 – 12000

= 32000

20000

= 32

20

= 8

5

e) [(20000 ×0.50) + (10000 × 0.50)] × 6.145- [(70000×0.70) + (80000 ×0.70)]

= (10000+5000) ×6.145- (49000+56000)

=15000 ×6.145-105000

=92175 – 105000

= -12825

Réponse 3 :

a) (-5)2 = 25

b) (52)3 = 56 = 15625

c) 53 ×5-2 =51 =5

d) 63 = 6×6×6 = 216 = 27

24 2x2x2x2 16 2

e) 9-3 = 1 = 1 = 1 = 1

9 2 92 x 93 95 9x9x9x9x9 59049

Réponse 4 :

a) 16 ¾ = 4 163 =4 16 ×16×16 = 4 8×8×8×8 = 8

b) 4-5/2= 1 = 1 = 1 = 1

2 45 2 4 x 4 x 4 x4 x 4 2 32 x32 32

c) 81 ¾ = 4 81 x 81 x 81 = 4 274 = 27

16 16 x 16 x 16 84 8

d) 3 27 = 3 3 x 3 x3 = 3 33 = 3

125 5 x 5 x5 53 5

e) 32 x 2 = 64 = 8

Réponse 5 :

Soit t= taux d’augmentation du salaire

60000+60000 x t= 63000

60000 ( 1+ t) = 63000

1+t = 63000

60000

1+t = 1.05

t = 1.05-1

t = 0.05 = 5 %

Réponse 6 :

Prix de vente actuel= 79

On prévoit une diminution de 10 %

Rabais = prix de vente x 10 %

Rabais = 79 x 10%

Rabais = 7.9

Prix de vente de l’année prochaine= prix de vente actuel- rabais

= 79 -7.9

= 71.1 $