§. Natural va butun sonlar

5 - §. Kasrlar.

Siz kasrlar va undagi bo’ladiga deyarli barcha amallar haqida tushunchaga egasiz. Lekin har qanday kasrlarni zanjirli kasrga aylantirish tushunchasiga batafsil ma’lumotlarga ega emassiz. Misol yordamida quyidagi noto’g’ri kasrni zanjirli kasrga aylantirishni ko’rib chiqamiz.

ko’rinishdagi belgilash kasrning zanjirli kasrga o’tishdagi belgilashdir.
5-Mashq.
1.Quyidagi kasrlarni zanjirli kasrlarga yoying:
a) b) c) d) e) f)1,23

2.Quyidagi zanjirli kasrlarga ko’ra sonning o’zini toping:

a) [2;1,3,4,1,2] b) [0;3,1,2,7] c) [2;1,1,6,8]
d) [-1;1,2,4,5] e) [0;1,4,3,2] f) [-3;1,1,2]

3. Surat va maxrajlarining yig’indisi tub sonning kubi va ga teng bo’lgan kasrning suratini toping.

A)363 B)1064 C)968 D) bunday kasr mavjud emas
4. Surat va maxrajlarining yig’indisi tub sonning kubi va ga teng bo’lgan kasrning maxrajini toping.
A)363 B)1064 C)968 D) bunday kasr mavjud emas
5.Qandaysonning 20 %
iquyidagikasrningqiymatigatengbo’ladi?

1. 
   250 B)120 C)200 D)270
   

6. hisoblang.
A)24 B)12 C)8 D)6
7. hisoblang.
A) 19/2 B) 19/4 C) 1/2 D) 19/8
8. J:16
9.
J:
10. J:5
11.
J:
12.  
x ni toping. J: 5
13. Hisoblang 243:(9:11)
A)27 B)2 C) D) 297
14. Kasrning qiymati 40 dan qanchaga kam ?

A)160 B)140 (C)180 D)200
15. Hisoblang
A)-1 B)0 C)1 D)25
16. Hisoblang:
A) B) C) D)
17. Hisoblang:
A)3 B)1 C) D)2
18. Hisoblang:
A)1 B)2 C)3 D)
19. Hisoblang
A)1 B)2 C) D)
20. Hisoblang:
A)1 B) C) D)
21. Sonlarni o’sish tartibida joylashtiring.

A)a B)b C)b D)c
22. Agar va bo’lsa , a,b va c ni o’sish tartibida joylashtiring
A)a;b;c B)b;a;c C)b;c;a D)c;b;a
23. Sonlarni kamayish tartibida joylashtiring

A)a>b>c>d B)b>a>d>c C)d>a>b>c
D) d>b>c>a
24. sonning uchdan bir qismini toping.
A)1 B)3 C)2 D)9
_25.
A) 1 B) 2 C) 11 D) 22
26. lar uchun qaysi biri to’g’ri?
A) B) C)
D)
27.
B) C) 2n+1 D)
28.
A) 100 B) 10 C) D) 20
29.Hisoblang.(1+2+2²)(1+2³+2⁶)(1+2⁹+2¹⁸)(1+2²⁷+2⁵⁴) A)2¹⁰⁸-1 B)2⁸¹-1 C)2⁶⁴+1 D)2⁸¹+2²⁷+1
30. Quyidagiifodaningqiymatinitoping.

1. 
   B) C) D) to’g’rijavobkeltirilmagan
   

31. Quyidagiifodaningqiymatinitoping.

1. 
   B) C) D) to’g’rijavobkeltirilmagan
   

32. Quyidagi ifodaningqiymatini toping

1. 
   B) C) D) to’g’rijavobkeltirilmagan
   

33. Quyidagiifodaningqiymatinitoping.

1. 
   B) C) D) to’g’rijavobkeltirilmagan
   

34. Bu cheksiz zanjirli kasr quyidagi javoblardan qaysi biriga teng.
A) B) C) D) aniqlab bo’lmaydi
35. Bu cheksiz zanjirli kasr quyidagi javoblardan qaysi biriga teng.
A) B) C) D) aniqlab bo’lmaydi
36. Bu cheksiz zanjirli kasr 2 quyidagi javoblardan qaysi biriga teng.
A) B) C) D) aniqlab
bo’lmaydi
37.
hisoblang.
A) B) C)1 D)1.5

38.

hisoblang.
A) A) B) C)1
D)1.5
39. Hisoblang. +
A) 1 B)2 C) D) aniqlab b’lmaydi.
40. Hisoblang. ;
A) aniqlabbo’lmaydiB) 1/685 C) 1/234 D)1/324
41. Hisoblang. ;
A) aniqlabbo’lmaydiB) 1/841 C) 1/400 D) 1/287
42. P(x)= bo’lsa, P( )+P( )+P( )+…+P( )+P( )+P( )+P( )+…+P( ).+….P( ) ifodaning qiymatini hisoblang.
A)1000 B)10000 C)5000 D)5050
43. P(x)= bo’lsa, P( )+P( )+P( )+…+P( )+P( )+P( )+P( )+…+P( ).+….P( ) ifodaning qiymatini hisoblang.
A)2000 B)40000 C)20000 D)200
44. Hisoblang (bunda n! = 1 2 3 …… n)
A)
45. Hisoblang (bunda n! = 1 2 3 …… n)
A)
46. Hisoblang (bunda n! = 1 2 3 …… n)
A)
47. Agar tenglik qanoatlantirsa, ning qiymatini hisoblang.
A) D)1
48. Quyidagi kasrlarni taqqoslang.
a= b=
A)a B) a C)a=b+1
D) aniqlab bo’lmaydi
49. va b= sonlarni taqqoslang.
A)a
50. Buyuk matematik Leonard Eyler 1+ ifodani tengligini isbotladi.
Yuqoridagi ifoda orqali 1 bu ifodaning qiymatini toping.
B) C) D)
51. a=0.99999 ^1.00001 1.00001^0.99999 va b=1 taqqoslang
A) a 52. yig’indini hisoblang.([n]- n sonining butun qismi)
A) - 1000 B) – 500 C) – 1000 D)aniqlab bo’lmaydi
53. yig’indini hisoblang. ([n]- n sonining butun qismi)
A) - 1000 B) – 1000 C) – 1000 D)aniqlab bo’lmaydi
54. yig’indini hisoblang. ([n]- n sonining butun qismi)
A) - 2000 B) – 2000 C) – 1000 D)aniqlab bo’lmaydi
55. Agar = shart qanoatlantirsa, a va b sonlarining o’rta arifmetigini o’rta geometrigiga nisbatini toping.
A) B) C)1 D)2
56. Hisoblang: (bunda n! = 1 2 3 …… n)
A) 1- B) C) 1- D) 1+
57. Hisoblang: (bunda n! = 1 2 3 …… n)
A) 1- B) C) 1- D) 1+
57. a= kasr soni o’nli kasr ko’rinishida yozilib, verguldan keyingi 2017 ta raqam o’chirish natijasida hosil bo’lgan sonni b bilan belgilaymiz. Quyidagi mulohazalardan qaysi biri to’g’ri.
A)b
58. Taqqoslang a=
A) a
59. Agar 0A) B) C) D)