MQT1001 TN 1, devoir de mathématiques

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d) 15^3

3^4

= (15 x 15 x 15)

(3 x 3 x 3 x 3)

= 3375

81

= 3375 ÷ 9

81 ÷ 9

= 375

9

= 41 2

3

e) 10^-2

10^3

= 10 x 10 x 10

10 x 10

= 1000

100

= 10

QUESTION 4 (15 POINTS)

a) 25^3/2

= 2√25^3

= √25 x 25 x 25

= √15 625

= 125

b) 32^-3/5

= 1

32^3/5

= 1

5√32^3

= 1

5√32 x 32 x 32

= 1

5√32 768

= 1

5√8 x 8 x 8 x 8 x 8

= 1

8

c) (27)^4/3

( 8 )

= 3√(27)^4

(8 )

= 3√(3 x 3 x 3)

(2 x 2 x 2)

= 3√3^3

2^3

= 3

2

d) 3√64

125

= 3√4 x 4 x 4

5 x 5 x 5

= 4

5

e) √24 x √6

= √24 x 6

= √144

= 12

QUESTION 5 (5 POINTS)

(50 490 x 100) ÷ 54 000

5 049 000 ÷ 54 000 = 93,5

100 – 93,5 = 6,5%

54 000 – 6,5% = 50 490$

QUESTION 6 (5 POINTS)

45 920 = Y + 2,5%

45 920 - 1 120 = 44 800

44 800 + 2,5% = 45 920

QUESTION 7 (5 POINTS)

1 800 + 4,5% = 1 881

1 881 – 1 800 = 81

81 ÷ 12 = 6,75

6,75 x 4 = 27$

QUESTION 8 (8 POINTS)

a) 62 000 x 0,55 = 3 410$

3 410 x 4 = 13 640$

b) 3 410 x 0,48 = 1636,80$

c) 3 410 – 1 636,80 = 1 773,20$

QUESTION 9 (8 POINTS)

a) (16 000 x 6,6) ÷ 100 = 1 056$

b) [(16 000 + 1 056) x 6,6] ÷ 100 = 1 125,70$

c) 16 000 + 1 056 + 1 125,70 = 18 181,70$

QUESTION 10 (5 POINTS)

0,91 x 100 / 3,5 = 26$

QUESTION 11 (5 POINTS)

4,05 x 100 / 3,6 = 112,5 → 12,5%

QUESTION 12 (9 POINTS)

8 050 x 100 / 7000 = 115 → 15%

4 750 x 100 / 4000 = 118,75 → 18.75%

R: Le B.