tub va murakkab sonlar
![](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_1.png)
![D(6) =Sonlarning bo’luvchilarini topamiz
{ 1 , 2, 3, 6 }
D(8) = { 1 , 2, 4, 8 }
D(9)= { 1 , 3, 9 }
D(7) = { 1 , 7 }
D(11) = { 1 , 11 }
D(23)= { 1 , 23 } Murakkab
sonlar
Tub
sonlar](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_2.png)
![Birdan boshqa kamida ikkita bo’luvchisi
bo’lgan sonlarga murakkab sonlar deyiladi.
Bir va o’zidan boshqa bo’luvchisi bo’lmagan
sonlarga tub sonlar deyiladi
1 soni o’zidan boshqa bo’luvchisi bo’lmagani
uchun u tubson ham emas murakkab son
ham emasMurakkab sonlar
Tub sonlar
146 8 9
1
0
1
2
1
4
1
5
…
1
6
2
3 5 7
1
1
1
3
1
7
1
9
…
2
3](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_3.png)
![Tub sonlar Murakkab sonlar
5 17 13 7
27 8 36 95 27 8 36 17 13 9 7](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_4.png)
![masala 1
Berilgan sonlarni ajrating :
345, 647, 5, 7, 12, 13, 27, 601, 453, 29
Tub sonlar Murakkab
sonlar
647, 5, 7,
13, 601, 29 345, 12,
27, 453](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_5.png)
![Takrorlab olamiz -Bo’linish belgilari
2 ga : 3 ga :
5 ga :
9 ga :
Oxirgi raqami
0 va 5 ga Oxirgi raqami juft
bo’lsa (2, 4, 6, 8, 0) Raqamlar soni
yig’indisi 3 ga
bo’linsa
Raqamlar soni
yig’indisi 9ga 45 ga :](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_6.png)
![Tub sonlarni qozonga tashlaymiz 32 23
14 15
41 2
11 44 100
101
5 1 16345 17343 839](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_7.png)
![21 < < 4121 < < 41Tengsizlikni qanoatlantiruvchi sonlarni joylashtiring
21 < x < 41
21 < < 41 21 < < 4119
23 31
2927 22
2526
33
3930
24
43
37
41 21 < < 41](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_8.png)
![24.08.2011 9Закрепление изученного материала.
Ikki ko’paytuvchi ko’rinishida yozing : 38;
77; 145; 159.
Yechish
38 = 2 ∙ 19; 77 = 7 ∙ 11;
145 = 5 ∙ 529; 159 = 3 ∙ 53;
Bu ko’paytuvchilar haqida
nima deysiz ?](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_9.png)
![Berilgan sonlarni murakkab ekanligini isbotlang.
296
8
360
0
676
767888
888
11111…1 (2007 цифр)
11111…1 (2008 цифр) 2
2
67
3
112](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_10.png)
![1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22
23 24 25 26 27 28 29
30 31 32 33 34 35 36
37 38 39 40 41 42 43
44 45 46 47 48 49 Eratosfen
to’ri](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_11.png)
![1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22
23 24 25 26 27 28 29
30 31 32 33 34 35 36
37 38 39 40 41 42 43
44 45 46 47 48 49 2 3 5 7
11 13
17
47 19
23 29
31
37 41 43](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_12.png)
![1 3 5 7
11 13 17 19
23 25 29
31 35 37 3Eratosfen to’ri](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_13.png)
![1 3 5 7
11 13 17 19
23 29
31 37 3 5
7
11 13 17 19
23 29
31
37Eratosfen to’ri
Egizak sonlar](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_14.png)
![“ Murakkab son” termini tasodif bilan tanlanmagan
Murakkab sonlar tub sonlar ko’paytmasidan olingan .
Agar biz murakkab sonni “uy” deb tasavvur qilsak,
tub sonlar uning “g’isht”laridir
210 =
21 10 =3 7 2 5 =2 3 5 7
3 2
7 5 21
0
210 soni 2, 3, 5 va 7 tub son “g’isht”laridan
olingan.](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_15.png)
![2200 =
22 100
2 5
2 5 =11 2 2 5 2 5
=2 2 2 5 5 11
2 11 220
0 8 =2 2 2
2
6 = 2 3
2 3 6
2 2 8](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_16.png)
![5 80 000 =
5 5 5 8 10 10 10 10
=2 2 2 5 2 5 2 5 2 5 2
=2 2 2 2 2 2 2 5 5 5 5
2
2 2 2 2
2 2 8000
0](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_17.png)
![Yo’lsozlovchilar 820 м yo’lni 3 kunda ta’mirladilar.
Birinchi kun и qismini ikkinchi kuni qismini ta’mirlashdi.
Uchinchi kun ular qancha yo’lni sozlashlari kerak ?
820 м1-kun 2-kun
3-kun
?Qolgan yo’lning](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_18.png)
![820 м1- chi kun 2 chi kun
3-chi kun
?1) 820:5*2=328(км) birinchi kun ta’mirlangan
2) 820 – 328 =492(км) qolgan.
3) 492:3*2 =328(км) Ikkinchi kun ta’mirlangan
4) 492 – 328 = 164(км) uchunchi kun ta’mirlangan
qolgan](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_19.png)
![sigirlar
Qo’ylar Echkilar
3400? ? ? Fermada 3400 ta o’y ,echki,sigirlar bor. Qo’y echkilar
birgalikda hayvonlarning qismini tashkil qilsa, echkilarnin o’zi
hayvonlarning .
Fermada qancha qo’y, echki va sigirlar bor?](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_20.png)
![Sigirlar Qo’ylar
Echkilar
3400? ?
?1) 3400:17*9=1800(bosh) qo’y va echkilar
2) 1800:9*2=400(bosh) echkilar козы.
3) 1800 – 400 = 1400 (bosh) qo’ylar.
4) 3400 – 1800 = 1600 (bosh) sigirlar](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_21.png)
![Inkubatorga 1200 ta tuxum qo’yildi. Ulardan . Ochirilgan
jo’jalardan qismi xo’roz ekani aniqlangan bo’lsa, nechtasi
xo’roz va tovuq ochib chiqqan
1200](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_22.png)
![1200Tovuqlar Xo’rozlar1) 1200:24*23=1150 вылупилось цыплят.
2) 1150:5*2=460 вылупилось петушков.
?
?3) 1150 – 460 = 690 вылупилось курочек.](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_23.png)
![Ikki tarktorchilar 12,32 ga yerni shudgor qildilar.Birinchi
traktorchi ikkinchisidan 1,2 marta kam yer haydagan
bo’lsa, ularning har biri nehca gegtardan yer haydagan ? 1,2 marta kam
? ga ? га
12,32ga](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_24.png)
![3 chi kun ertalab K e r o s i nI kun
II kun
III kun 2,4 marta
ko’p
х2,4х
38 т
Qoldi 9,1 t](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_25.png)
![E’tiboringiz
uchun raxmat!](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_26.png)
![](/data/documents/975d8973-fe76-481c-8b3e-98aa0764043b/page_27.png)
D(6) =Sonlarning bo’luvchilarini topamiz { 1 , 2, 3, 6 } D(8) = { 1 , 2, 4, 8 } D(9)= { 1 , 3, 9 } D(7) = { 1 , 7 } D(11) = { 1 , 11 } D(23)= { 1 , 23 } Murakkab sonlar Tub sonlar
Birdan boshqa kamida ikkita bo’luvchisi bo’lgan sonlarga murakkab sonlar deyiladi. Bir va o’zidan boshqa bo’luvchisi bo’lmagan sonlarga tub sonlar deyiladi 1 soni o’zidan boshqa bo’luvchisi bo’lmagani uchun u tubson ham emas murakkab son ham emasMurakkab sonlar Tub sonlar 146 8 9 1 0 1 2 1 4 1 5 … 1 6 2 3 5 7 1 1 1 3 1 7 1 9 … 2 3
Tub sonlar Murakkab sonlar 5 17 13 7 27 8 36 95 27 8 36 17 13 9 7
masala 1 Berilgan sonlarni ajrating : 345, 647, 5, 7, 12, 13, 27, 601, 453, 29 Tub sonlar Murakkab sonlar 647, 5, 7, 13, 601, 29 345, 12, 27, 453