1Numrat e plotë. Veprimetme thyesaTë njehsohet vlera e shprehjeve:Shembulli 1. ( 2) 2 {( 21) ( 11) ( 6) ( 8) ( 4)}.

Zgjidhja. ( 2) 2 {( 21) ( 11) ( 6) ( 8) ( 4)}

2 2 { 21 11 6 8 4} 2 2( 26) 2 52 50.

Shembulli 2. [3 (21 ( 4)] [24 ( 12) 36 7].

Zgjidhja. [3 (21 ( 4)] [24 ( 12) 36 7] [3 21 4] [24 12 36 7] 28 ( 7) 28 7 21.

Shembulli 3. 2 3 22 ( 1) 3 ( 2) ( 2) ( 3) .

Zgjidhja.2 3 22 ( 1) 3 ( 2) ( 2) ( 3)

2 ( 1) ( 1) 3 ( 2) ( 2) ( 2) ( 2) ( 3) ( 3)

2 3 ( 8) ( 2) 9 2 24 18 20 24 4 .Shembulli 4. ( 4 (7 ( 5)) ( 6).

Zgjidhja.( 4 (7 ( 5)) ( 6)

( 4 7 5) 6 ( 9 7) 6 2 6 8.

NUMRAT E PLOTE. VEPRIMET ME THYESA2

Shembulli 5.2 2 21 2 3 .

2 3 2

Zgjidhja.2 2 21 2 3 1 1 2 2 3 3 1 4 9

2 3 2 2 2 3 3 2 2 4 9 4

9 1 4 4 9 9 9 16 81 25 81 56 28 14 .36 36 36 36 18 9

Shembulli 6.2

23 1 24 2 ( 3) 2 .2 3 3

Zgjidhja.2

23 1 2 9 7 84 2 ( 3) 2 4 92 3 3 4 3 3

7 8 7 8 159 9 18 18 18 5 233 3 3 3

.

Shembulli 7.

11 8172 3 : .11 8 7

2 3

Zgjidhja.11 8 33 16 17

17 17 17 17 6 17 17 7 7 12 3 6 6: : : : .11 8 33 16 497 7 7 6 49 7 49 17 49 72 3 6 6

Shembulli 8.

1 1 1 115 6 3 4 : .1 1 3 12

3 10 12

Zgjidhja.1 1 1 1 6 5 14 3 7

1 125 6 3 4 30 3012 12: 12.1 1 3 10 3 3 13 312 13 10 12 30 12 30 12

CALCULUS 3

30 7 12 1 7 7 12 7 4 2812 12 .30 13 3 12 13 3 13 3 13 1 13

Shembulli 9.

3 3 56 3 55 14 6 .

5 5214 2

Zgjidhja.3 3 5 33 45 35 462 225 35 237 356 3 55 14 6 5 14 6 70 6 70 6

84 5 5 79 5 79 55 521 4 2 4 2 4 24 2

237 1 237237 8 237 2 4742 6 12 .74 5 395 395 12 395 3 1185

4 2 8

Shembulli 10. (7.3 2.9) .2.2

Zgjidhja.Mënyra e parë:Kryejmë veprimet me numra dhjetor.(7.3 2.9) 4.4 2.5 2 2.5 5

2.2 2.2

.

Mënyra e dytë:Numrat dhjetor së pari i shndërrojmë në thyesa e pastaj kryejmëveprimet me thyesa.

73 29 25 73 29 25 44 25 44 2510 44 25 5010 10 10 10 10 10 10 10 10 522 22 22 22 10 10 22 10

10 10 10 10

.

Shembulli 11.

11.7 0.52 .7 : 0.2

5

NUMRAT E PLOTE. VEPRIMET ME THYESA4

Zgjidhja.1 17 1 5 17 5 5 12 5 12 51.7 0.52 10 2 10 10 10 10 10 100

7 7 2 7 10 7 10 70: 0.2 :5 5 10 5 2 10 10

60 10 6 3 .100 70 70 35

Detyra për ushtrimeTë njehsohet vlera e shprehjeve:1. ( 14 (17 ( 15))) ( 3).

2. ( ( 12) ( 3) ( 5)).

3. ( 11) ( 2) ( 6)).

4. 2( 3 4( ( 3) ( 5)) 6).

5. 3( 2 4((2) ( 12)) ( 12) 7).

6. (2 ( 3))(3 ( 4)) 3 2( ( 2) ( 4)) 1.

7. 2 2 3 32( 1) 2( 3) 3( 2) 4( 1) .

8. 2 2 2 3( 2) ( 2) 3 2 .

9. 2 5 3( 2 3( 2) ) (4( 1) 2( 2) ).

10. 2 3 2( 1 2( 3) ) (2( 2) 3( 3) ).

11.2 21 2 1 .

3 3 9

12.2 2 2

21 2 12 2 ( 3) .2 3 9

13.3

3 3 21 1( 2) 3 ( 2) 1 ( 3) .3 2

14. 1 1 1 .2 3 6

15. 1 1 12 .3 5 10

CALCULUS 5

16.1 7

52 3 1 .1 7 32 3

17.1 21 12 5 : .1 1 15

15 5

18.2 2 1 11 13 7 3 7 : .1 1 41 1

21 21

19.

2 2 52 1 21 1 23 13 6 1 .

1 1 2 2 2 3:13 39 5

20. (2.9 4.6) 2.4 .2.5

21. (2.3 ( 2.5 ( 2.2)) 1.2 .1.5 :1.3

22. (1.4 ( 1.5 ( 1.2)) 3.2 .0.5 : 0.3