Module 1

Question 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
=48-12
=36

Question 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) 1 - 3 1-( 3 = 3  4 = 0,75 ) = 150 000 = 150 000  0,25 | 600 000
=440,25

d) 80000(2-1.60) = 80000 × 0.4
80000(2-1.60)-12000 80000 × 0.4 -12000
= 32000
32000 – 12000
= 20 000

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

Question 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

Question 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

Question 5:

Soit t= taux d’augmentation
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 %

Question 6 :

Prix de vente maintenant= 79
L’entreprise 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 maintenant- le rabais
= 79 -7.9
= 71.1 $

Question 7 :

Impôt investi = 2500 $
Rendement de placement annuel= 8 %

Le revenu généré par ce placement jusqu’à la