Question

Muszę rozwiązać te zadania: (Chciałbym aby rozwiązania były w czytelnej formie)

7.1 , 7.2 i 10.1 Wszystkie popunkty.Bardzo proszę o pomoc.

Dam 19 punktów za pomoc!

Answer 1

Zadanie 7.1

 

a) 5 i 1/4 : 14 + 7,5 * 4 = 21/4 * 1/14 + 75/10 * 4 = 3/8 + 30 = 30 i 3/8

 

b) 3,6 + 1,8 * 1 i 1/3 = 36/10 + 18/10 * 4/3 = 36/10 + 12/5 = 36/10 + 24/10 = 6

 

c) 4/5 + (1,2 * 5/12 - 0,6) = 4/5 + (12/10 * 5/12 - 6/10) = 4/5 + (1/2 - 6/10) = 4/5 + (5/10 - 6/10) = 4/5 - 1/10 = 8/10 - 1/10 = 7/10 = 0,7

 

d) 1 i 2/5 : (-1,4) - 2,7 * (-1/9) = 7/5 * (-10/14) - 27/10 * (-1/9) = -2 + 3/10 = -1 i 7/10 = -1,7

 

e) 0,25 + 0,75 * 2/3 = 1/4 + 3/4 * 2/3 = 1/4 + 1/2 = 1/4 + 2/4 = 3/4

 

f) 1 i 1/4 : 0,25 - 4 = 5/4 : 1/4 - 4 = 5/4 * 4 - 4 = 5 - 4 = 1

 

g) (3 i 3/4 - 2 i 1/8) : 1,5 = (15/4 - 17/8) : 15/10 = (30/8 - 17/8) : 15/10 = 13/8 * 10/15 = 65/60 = 1 i 5/60 = 1 i 1/12

 

h) 1/2 : (3/4 - 0,5) = 1/2 : (3/4 - 1/2) = 1/2 : (3/4 - 2/4) = 1/2 : 1/4 = 1/2 * 4 = 2

 

i) 7/24 : 0,125 + 3,5 = 7/24 : 125/1000 + 3,5 = 7/24 : 1/8 + 3,5 = 7/24 * 8 + 3,5 = 7/3 + 35/10 = 70/30 + 105/30 = 175/30 = 5 i 25/30 = 5 i 5/6

 

j) -2,5 + 1,75 * (-1 i 3/7) = -25/10 + 1 i 3/4 * (-10/7) = -25/10 + 7/4 * (-10/7) = -25/10 + 5/2 = -5/2 + 5/2 = 0

 

k) 5/6 - (0,8 * 3/8 - 4/5) = 5/6 - (8/10 * 3/8 - 4/5) = 5/6 - (3/10 - 4/5) = 5/6 - (3/10 - 8/10) = 5/6 - (-5/10) = 5/6 + 5/10 = 25/30 + 15/30 = 40/30 = 1 i 1/3

 

l) -2 i 1/2 : 1 i 2/3 - 1,4 * (-1 i 3/7) = -5/2 : 5/3 - 14/10 * (-10/7) = -3/2 - (-2) = -3/2 + 2 = -1 i 1/2 + 2 = 1/2

 

ł) 4,5 * 1 i 2/3 - 3,75 = 45/10 * 5/3 - 3 i 3/4 = 9/2 * 5/3 - 15/4 = 15/2 - 15/4 = 30/4 - 15/4 = 15/4 = 3 i 3/4

 

m) [1,75 + (-1 i 1/6)] : 2 i 5/8 = [1 i 3/4 + (-7/6)] : 21/8 = [7/4 - 7/6] : 21/8 = [21/12 - 14/12] : 21/8 = 7/12 : 21/8 = 7/12 * 8/21 = 2/9

 

n) (0,8 * 3/8 - 4/5) : 0,75 = (8/10 * 3/8 - 4/5) : 3/4 = (3/10 - 4/5) : 3/4 = (3/10 - 8/10) : 3/4 = -5/10 * 4/3 = -10/15 = -2/3

 

o) (16 : 4/7 - 13 i 2/3) : 43 = (16 * 7/4 - 41/3) : 43 = (28 - 41/3) : 43 = (84/3 - 41/3) : 43 = 43/3 : 43 = 43/3 * 1/43 = 1/3

 

p) 4 i 2/5 : 11 + 1/5 + 3,4 = 22/5 * 1/11 + 1/5 + 34/10 = 2/5 + 1/5 + 17/5 = 19/5 = 3 i 4/5

 

r) (2/3 - 1,8 * 5/6) : (-1/3) = (2/3 - 18/10 * 5/6) * (-3) = (2/3 -3/2) * (-3) = (4/6 - 9/6) * (-3) = -5/6 * (-3) = 5/2 = 2 i 1/2

 

s) 4/5 - (1,3 * 5/13 - 0,8) = 4/5 - (13/10 * 5/13 - 8/10) = 4/5 - (5/10 - 8/10) = 4/5 + 3/10 = 8/10 + 3/10 = 11/10 = 1 i 1/10 = 1,1

 

t) (8 - 3 * 2 i 1/3) * (-3) = (8 - 3 * 7/3) * (-3) = (8 - 7) * (-3) = -3

 

u) 2 i 1/3 - 9 : 4,5 = 7/3 - 9 : 45/10 = 7/3 - 1/9 * 45/10 = 7/3 - 1/5 = 35/15 - 3/15 = 32/15 = 2 i 2/15

 

w) 5 * [0,6 - 3/5 : (-2)] = 5 * [6/10 - 3/5 * (-1/2)] = 5 * [6/10 + 1/5] = 5 * [6/10 + 2/10] = 5 * 8/10 = 5 * 4/5 = 20/5 = 4

 

x) -1,5 : 9/8 + 5 i 5/6 * 3/7 = -15/10 * 8/9 + 35/6 * 3/7 = -60/45 + 5/2 = -120/90 +

 225/90 = 105/90 = 1 i 1/6

 

y) -8 : 1 i 1/4 + 7 i 2/5 + 9 = -8 * 4/5 + 37/5 +9 = -32/5 + 37/5 + 9 = 5/5 + 9 = 10

 

z) 1 i 1/4 + (2 * 0,25 + 1 i 1/2) = 5/4 + (1/2 + 1 i 1/2) = 5/4 + 2 = 1 i 1/4 + 2 = 3 i 1/4

 

Zadanie 7.2

 

a) -1,5 : 1 i 1/8 - 2/9 * (-3/8) = -15/10 : 9/8 - 2/9 * (-3,8) = -15/10 * 8/9 + 1/12 = -60/45 + 1/12 = 720/90 + 45/90 = 765/90 = 8 i 1/2

 

b) (1 i 1/3 * 4 + 0,4 * 2,5) * 0,75 = (4/3 * 4 + 4/10 * 25/10) * 3/4 = (16/3 + 10/10) * 3/4 = (16/3 + 1) * 3/4 = (5 i 1/3 + 1) * 3/4 = 6 i 1/3 * 3/4 = 19/3 * 3/4 = 19/4 = 4 i 3/4

 

c) 1 i 1/3 - 1/25 : 0,04 + 1 i 2/3 = 4/3 - 1/25 : 1/25 + 5/3 = 4/3 - 1 + 5/3 = 9/3 - 1 = 3 - 1 = 2

 

d) 1 i 3/20 + 3/4 : 0,6 + 0,2 * (-27) = 23/20 + 3/4 : 6/10 + 2/10 * (-27) = 23/20 + 3/4 * 10/6 + 2/10 * (-27) = 23/20 + 5/4 - 27/10 = 23/20 + 25/20 - 54/20 = 48/20 - 54/20 = -6/20 = -3/10 = -0,3

 

e) 2,6 + 3,4 : 1,7 + 6/7 * (-2 i 1/3) = 6 : 17/10 + 6/7 * (-7/3) = 6 * 10/17 - 2 = 60/17 - 2 = 60/17 - 34/17 = 26/17 = 1 i 9/17