Langage mathématique de base

Module 1 - Langage mathématique de base

Travail noté 1

RÉPONSES:

QUESTION 1

a) 5+10-3 x 2  6

= 5+10 - ( 3 x 2)  6 

= 5+10- (6  6)

= 5+10-1

=15-1

=14

b) - 25- 5 x 3 + 8  2

= -25 - (5 x 3) +(8  2)

= -25 - (15) + (8  2)

= -25 - 15 + 4

= - 40 + 4

= -36

c) (3+7) x 2 + (15+3) x 4

= 10 x 2 +18 x 4

= 20 + 72

= 92

d) 68 + 32  (-8)

= 68 + ( - 4)

= 64

e) 48+ ( -11 + 3) x 2 + ( 4+24) 7 

= 48+ (-8) x 2 +( 28)  7 ) 

= 48 + ( -16 + 4 )

= 48 + ( -12)

= 36

P 1

QUESTION 2

a) 114 000 + 26 000 = 140 000

40 000 40 000 40 000

26 000+ 1-48% 26 000 +  (1-0,48) = 26 000 +  0.52 

40 000  0,52 = 76923, 076

26 000 + 76923,076 = 102923, 08 140 000 = 140 000  102923,08  1,3602391

102923,08

b) -45 - ( -5) + 5 x 21 =  - 45 - ( -5)  + ( 5x 21) = - 40 + 105 = 65 = 65  - 13  -5

- 6 + 49  (-7) -6 + ( 49  (-7) -6 + ( -7) -13

c) 150 000 = 150 000

1 - 3 1- ( 3 = 3  4 = 0,75 ) = 150 000 = 150 000  0,25  600 000

4 4 0,25

d) 80 000 ( 2 - 1,60) = 80 000 ( 0. 4) = 80 000 x 0,4 = 32 000

80 000 ( 2 - 1, 60) - 12 000 80 000 ( 0,4) - 12 000 80 000 x 0,4 32 000 - 12 000

= 32 000 = 32 = 32  20  1,6

20 000 20

e)  ( 20 000 x 0,50 ) + ( 10 000 x 0,50 )  x 6,145 -  ( 70 000 x 0,70) + ( 80 000 x 0,70) 

= ( 10 000 + 5 000 ) x 6,145 - ( 49 000 + 56 000 )

= 15 000 x 6,145 - 105 000

= 92 175 ,000 - 105 000 = -12 825

QUESTION 3

2

a) ( -5) = -5 x -5 = 25

3

2 2 x 3 6

b) ( 5 ) = 5 = 5 = 5 x 5 x 5 x5 x 5 x 5 = 15 625

3 -2 -2

c) 5 x 5 = 5 x 5 x 5 = 125 x 5 = 1 = 1 = 1  = 125 x 1 = 125  5

2 5 x 5 25 25 25

5

P 2

3

d) 6 = 6 x 6 x 6 = 216 = 27

4

2 2 x 2 x 2 x 2 16 2

-3

e) 9 = 1 = 1 = 1 = 1 = 1  1

2 3+2 2 3 2 2 5

9 9 9 9x9x9 729 9 59049

QUESTION 4

3 3 3

a) 16 = 4 3 = ( 4 ) = 4 = 4 x 4 x 4  64

4  16 16

5

-2

b) 4 = 1 = 1

= 1 = 1 = 1  1

5

5

4 2 24 24 x 4 x 4 x 4 x 4 21024 2 32 x 32 32

3

81

4 3 3

c)  16  = 81 4 = 481 = 4 81 x 81 x 81 = 4 531441  27

3 3

4 4 16 4 16 x 16 x 16 4 4096 8

16

d) 3  27 = 3  27 = 3  3 x 3 x 3 = 3

125 3 125 3  5 x 5 x 5 5

e) 32 x  2 =  32 x 2 + 64  8

P 3

QUESTION 5

Revenu 60 000 $

Nouveau revenu 63 000 $

Quel %

...