Question

Vă rog exercițiul cel cu verde​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

√0,0225 = 0,15

0,(6) = 6/9 = 2/3

1,125*2 = 2,25

√2,25 = 1,5

0,2(7) = (27 - 2)/90 = 25/90 = 5/18

√0,09 = 0,3

7/2*0,15 - 2/3*1,5 + 5/18*0,3 = 7/2*15/100 - 1/3*15/10 + 5/18*3/10

= 21/40 - 1/2 + 1/12 = 63/120 - 60/120 + 10/120 = 13/120

________________

b)

0,8(3) = (83 - 8)/90 = 75/90 = 15/18

√(15/18)^2 = 15/18

√14,0625 = 3,75

0,(3) = 3/9 = 1/3

√0,81 = 0,9

0,3*15/18 - 0,24*3,75 + 1/3*0,9

= 3/10*15/18 - 24/100*375/100 + 1/3*9/10

= 1/4 - 9/10 + 3/10 = 1/4 - 6/10 = 1/4 - 3/5 = 5/20 - 12/20 = -7/20

___________________

c)

2,(3) = (23 - 2)/9 = 21/9 = 7/3

√81/784 = 9/28

√12,96 = 3,6 = 36/10 = 18/5

√0,36 = 0,6 = 6/10 = 3/5

√0.1024 = 0,32 = 32/100 = 8/25

√0,64 = 0,8 = 8/10 = 4/5

7/3*9/28 + 18/5 : 3/5 - 8/25 : 4/5

= 3/4 + 18/5*5/3 - 8/25*5/4

= 3/4 + 6 - 2/5

= 0,75 + 6 - 0,4

= 6,35