Module 1: le langage mathématique de base.

Module 1 - Langage mathématique de base: Travail noté 1

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

QUESTION 2

1. (114 000 + 26 000) / (26 000 + (40 000 / (1-48%))

= 140 000 ÷ (26 000 + (40000 ÷ 0.52))

= 140 000 ÷ (26 000 + 76923.076)

= 140 000 ÷ 102 923.076

= 1.3602391

1. ( - 45 - ( - 5) + 5 x 21 ) / ( - 6 + 49 ÷ ( - 7))

= - 45 - ( - 5) + ( 5x 21) = - 40 + 105 = 65

= - 6 + -7 = - 13

= 65 ÷ - 13

= - 5

1. 150 000 / ( 1 – ¾)

=  150 000 ÷ 0.25

= 600 000

1. 80 000 ( 2 - 1,60) / 80 000 ( 2 - 1, 60) - 12 000

=  80 000 x ( 0. 4) = 32 000

=  32 000 - 12 000  = 20 000

= 32 000 ÷ 20 000

= 1,6

1. (( 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

a)  -5 x -5 = 25

b)  (5 x 5 ) x 5 x5 x 5 x 5 = 15 625

c)  (5 x 5 x 5 ) x (-5 x – 5) = 125 x – 25 = - 3125

d) (6 x 6 x 6) / (2 x 2 x 2 x 2 ) = 216 ÷ 16 = 13.5

e) ( -9 x -9 x -9 ) / ( 9 x 9 ) = -729 / 81  = -9

Question 4

1. 16 ¾ = (16 x 4 + 3) / 4

=  67 / 4

1. 4 5/-2 = (4 x -2 + 5) / -2

= -3 / -2

1. (81/16) ¾ = (5.0625) ¾ = 5.0625 x 4 + 3

 = 23.25 / 4

1. 3 √  (27/ 125) = 3√ 27 / 3√ 125 è

= 3/ 5

e) √ 32 X √ 2

Question 5

63 000 – 60 000 = 3 000 / 63 000 =  1 / 21 = 0.05 x 100 = 5 %

Question 6

=(79 x 10)/100 = 7.90

= 79 – 7.90 = 71.10$

Question 7

2500 x 8/100 = 200 x 7/12 = 116.67 $

Question 8

a) 10 000 x 8/ 100 = 800 $

b) 10 000 + 800 = 10 800 x 8 / 100 = 864 $

c) 10 800 + 864 = 11 664 $

Question 9

a) 15 000 x 6/100 = 900 x 3 = 2700 $

b) 900 x 40 / 100 = 360 $

c) 900 – 360 = 540 $

Question 10

200 000 x 20/100 = 40 000 + 200 000 = 240 000 $

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