1- mavzu: Natural sonlarning o`qilishi va yozilishi

9 _{ 3} 1

4 3 12 13 8 7 10 3

5) 6 ¹  ²
6) ⁵  9 ¹
7) 5 ¹  ²⁵
8) ⁷ 1 ⁴

4 25

13 10

5 39 9 5

9) 12 ³  5
10) 13 2 ¹
11) 1 ¹
12) 7 ¹ 12 ¹  ⁸

5 26 15 2 4 49

3. 
   Hisoblang.
   

1) 12 ⁵  2 ⁷ ^15 ⁹

12 ^{9 }

2) 13³  4 ⁵ ^19 ³

 5 ^{3 }




6 9 _ 10

4 2 4 1

10 ^



8 7 _

7 3

17 17 ^


5 2

3) 3  5

17 3

 3 11

17 3

4) 5 1

16 29

 2  2

16 7

5) 1 ⁵  ³

12 34

1 ⁵

12

_131

34

6) 10 ²

3

 2 ²  2 ²

15 5

 5 ¹

2

7) ^ 2007³  2006^{1 } 1 ¹ 8) ^ 2009³  2008^{2 } 1 ⁷

  

6

5

29



3
   ⁵

^ 23

4. Quyidagi sonlarga teskari sonni toping .

5 _, 4 _,


14 _, 40 _,


12 _,

53 _,

25, 4
2 1 3 1 5 2

¹⁾ 8 19
37 51 45
100
2) ¹₇ ^{, 10}₃ ^{, 5}
,1
4 13
, 8 ,
8
7 , 32, 13
9

5. Oddiy kasrlarni bo`lish.

1) ² : ³
2) ¹ : ¹
3) ¹ : ⁴
₄₎ 11 _: 5

5 7 8 4

_{2 5} 18 9

1

5) 6:

4

5
6) 5:

6

5
7) 10:

9

8) 15 : ³

5

1
9) 1:

5

10) 1: ⁷

10

11) 2: ⁶

7

12)

⁷ : 3

8

4

13) :5
7
14) : 4
5
15) : 2
16)
25_: 20

5

17) 5: ²

3

10
18) 4 : ³

5

12
19) 6: ³

7

20)
6 36

⁵ : 2
9

33

21) 22 :

2

63
22) 45 :

4

23) 88: ⁷⁷

8

24)
45_{: 9}
7

25)
5 _:15 _: 3
26)
8 _:16 _: 55
₂₇₎ 10 _: 20 _: 50
28)
2 _: 25 _: 8 _: 15

7 14 8
9 5 27
21 7 3
3 7 9 28

6. Bo`lishni bajaring

1) 3
1 _:2 1
2 3
2) 2
5 _:1 3
8 4
3) 5
1 _{: 7} 2
9 3
4) 4
1 _{: 3} 2
9 3

5)
4 2
10 : 5
6) ⁵ :1²
7) 3¹ : ⁴
8) ¹⁵ :1 ¹

5 5 6 3 7 7

1 4 1

38 19

1 1 49

9) 12 : 5

2

10) 13: 2

11

11) 1:

15

12) 7

:12 :

2 4 8

7) Oddiy kasrlar ustida to`rt amalga doir mashqlar

1) ⁷
_ ₁¹ _ ²  _:1² _{ 2} ¹ _ ¹ _ ¹ 


6) ³ : ⁹

 3 ³  ²  4 : 2 ²

   

9

3

6

9
10 _ 3 _ 2 _{ }
5 10 4 5 3

5


2) ^1⁴  2 ⁹

 2^{17 } : ¹³  2 ³ 1 ²

5) ^1³  ²  <sup>3


9</sup>  _: ⁵

10 ¹

^ 10
20 ^ 20
5 13
_ 3 :

7

5

4

14 ^ 12 5




3) 1 ⁷ 1 ⁴  2 ⁸ :1 ¹

 ¹ : ^1² 1^{1 }


4) ^{1 5} 11: ^ 2 ³ 1^{3 }  3^1⁴ 1^{1 }

15 11 17 34
₂  ₃ 
8 :1

5

4

8
7 14
   
   ⁵ 



6


8. Tenglamani yeching

x  3 ¹ 1 ³
4 13
 10.
8 ¹ 1¹  x  4.
3 5
3 ¹  x  ¹

1 .
2 2
x  5 ³  10.
4

x  7 ³  10.
4
1

3. 
   : x
   

5
 2.
x  4 ³ 1¹  7.
8 7
x  5 ¹  11.
8

x  4 ¹ 
3
12 .
x  2¹¹  5 ¹ .
3 ¹  ⁵  x  7.
x  ¹  ¹  1.

5 5 13 13 2 7 2 6

2:3+x=1 13:2 – x =3 9:11+y =2 17:4 - a = 2

23- Mavzu: Sonning qismini topish

92) Sonning berilgan qismi qanday topiladi ?

Sonning berilgan qismini topish uchun sonni qismini ifodalovchi kasrga ko`paytirish kerak: Misollar :

1. 
   
   15
   60 ning
   

¹⁴ qismini toping

Yecilishi : 60 •
14 ₌
60 _•
14 ₌
⁴ • ¹⁴ = 56

15 1 15 1 1

2. 
   
   •
   
   5
   
   =
   Nilufarning 300 so`m puli bor edi. Bu pulning necha so`m turadi.
   

² qismiga muzqaymoq olib yedi. ^Muzqaymoq

5
Yecilishi : 300 • ²
300 2



•

=
1 5
^{60 2} = 120

1. 
   1
   
   1
   Berilgan sonning so`ralgan qismi toping.

1) 100 ning

¹⁹ qismini 2) 20 ning
25
⁴ qismini 3) 30 ning
5
¹⁴ qismini
15

4. 
   15 ning
   

² qismini 5) 5 ¹ 5 4
ning
² qismini 6) 6 ¹
7 25
ning
₂ 25
42
qismini

7) 5 ¹
25
ning
²⁵ qismini 8) 1 ¹ 42 15
ning
³ qismini 9) 3 ²
4 3
ning 1 ¹
11
qismini

24 - Mavzu: Qismiga ko`ra sonning o`zini topish

93) Berilgan qismiga ko`ra sonning o`zi qanday topiladi?

Berilgan qismiga ko`ra sonning o`zini topish uchun sonnning berilgan qismini shu qismni ifodalovci kasrga bo`lish kerak
Misollar :

1. 
   
   •
   
   5
   
   =
   ² qismi 20 ga teng bo`lgan sonni toping
   

5
Yecilishi : 20 ׃ ²
20 5 _{= 50}

2. 
   
   2
   
   1
   Jamshid 900 so`mga kitob sotib oldi. Bu pul undagi jami pulning jami puli necha so`m bo`lgan.
   

³ qismiga teng . Jamshidning
5

5
Yecilishi : Bu masala
³ qismi 900 ga teng bo`lgan sonni topishga keladi

900 ׃ ³ = ⁹⁰⁰ • ⁵ = 300 • 5 = 1500
5 1 3
Javob : Jamshidning jami puli 1500 so`m bo`lgan.

№ 1 Hisoblang

1. 
   
   17
   ⁸ qismi 16 ga teng bo`lgan sonni toping 2)
   

12
3) ⁵ qismi 25 ga teng bo`lgan sonni toping 4)

20
5) ¹⁷ qismi 51 ga teng bo`lgan sonni toping 6)

15
7) ¹³ qismi 65 ga teng bo`lgan sonni toping 8)

7
9) ³ qismi 45 ga teng bo`lgan sonni toping 10)
<sup>7</sup> qismi 28 ga teng bo`lgan sonni toping

7

8
³ qismi 18 ga teng bo`lgan sonni toping

25
⁸ qismi 32 ga teng bo`lgan sonni toping

18
¹¹ qismi 44 ga teng bo`lgan sonni toping

8
⁵ qismi 160 ga teng bo`lgan sonni toping

1. 
   
   10
   ⁹ qismi 45 ga teng bo`lgan sonni
   
2. 
   
   8
   ⁷ qismi 210 ga teng bo`lgan sondan
   
3. 
   
   6
   ⁵ qismi 30 ga teng bo`lgan sonni
   
4. 
   
   7
   ³ qismi 15 ga teng bo`lgan sonni
   

№ 2 Hisoblang

5
³ qismi 15 ga teng bo`lgan songa bo`ling

6
⁵ qismi 30 ga teng bo`lgan sonni airing

8
⁵ qismi 160 ga teng bo`lgan songa bo`ling

8
⁷ qismi 28 ga teng bo`lgan songa qo`shing

5. 
   
   20
   ¹⁷ qismi 51 ga teng bo`lgan sonni
   

20 ning

⁴ qismiga teng bo`lgan songa bo`ling

25
5

6. 
   30 ning
   

¹⁴ qismini
15
⁸ qismi 32 ga teng bo`lgan songa qo`shing

25 - Mavzu: Nisbat va proposiya

94. 
    Nisbat deganda nimani tushunasiz?
    

^k son k ning n ga nisbati deyiladi .
n

5
Misol: ₇
yoki 5 ׃ 7

94. 
    Proposiya deganda nimani tushunasiz? Ikkita nisbatning tengligi proporsiya deyiladi .
    

2
Misol: ₅
8
⁼ 20

1. Proposiyaning noma’lum hadini toping.

1) x :18  56 :14
2) 21: x  7 : 8
3) 40 :10  x : 2

4) 16 : 5  64 : x
5) x : 6  25 :15
6) 44 : x  4 : 3

₇₎ 3x _ 9

4 20

₈₎ 8 _ 24
7x 35
₉₎ 18 _ 2x

52 13


1 1 1 1 2 5 3
13) 5 : 2 1 x :1 14) 1 : x  :1
15) 25 : x  5 : 4

4 3 5 3 5 6 7