har xil ishorali sonlarni qo'shish va ayirish
![](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_1.png)
![Takrorlash uchun mashqlar .
Og’zaki : To’g’ri javobni toping- 9 + ( - 3 ) =
12 6
-6
-12](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_2.png)
![Takrorlash uchun mashqlar
Og’zaki : To’g’ri javobni toping
:- 4 ,8 + 4 ,8 =
9,6
-9,6
8,160 -8,16](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_3.png)
![Takrorlash uchun mashqlar
Og’zaki : To’g’ri javobni toping
:- 4 ,8 + ( - 4 ,8 ) =
-1 0
9,6 -9,6
-8,16](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_4.png)
![Takrorlash uchun mashqlar
Og’zaki : To’g’ri javobni toping
:- 2 + ( - 8 ,2 ) =
-6,26,2
10,2 -10,2
-8,4](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_5.png)
![Takrorlash uchun
mashqlar .
Og’zaki : To’g’ri javobni toping
:- 1 7 ,3 + ( - 7 ) =
10,3 -10,3
24,3 -24,3
-16,6](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_6.png)
![Takrorlash uchun mashqlar .
Og’zaki : To’g’ri javobni toping
:- 8 ,4 + ( - 0 ,4 ) =
8,8-4,4
8
-8,8
-8](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_7.png)
![Takrorlash uchun mashqlar .
Og’zaki .
Sonlarni taqqoslang va
savollarga javob bering :
1. Qaysi sonning moduli
katta ?
2 . Sonlarning qaysi biri
katta ? -45 и -22
<6 и 38
<-19 и -20,8
>-128 и -13
<54 и -36
>-89 и -98
>](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_8.png)
![Har xil ishorali sonlarni
qo’shish
5 + (- 4 ) =
-5 -4 -3 -2 -1 0 1 2 3 4 5 хАВ - 41](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_9.png)
![Har xil ishorali sonlarni
qo’shish .
4 + (- 7 ) =
-5 -4 -3 -2 -1 0 1 2 3 4 5 хАВ - 7 -3](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_10.png)
![Har xil ishorali sonlarni
qo’shish .
-4 + 3 =
-5 -4 -3 -2 -1 0 1 2 3 4 5 хА В+3 -1](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_11.png)
![Har xil ishorali sonlarni
qo’shish
-3 + 8 =
-5 -4 -3 -2 -1 0 1 2 3 4 5 хА
В+8 5](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_12.png)
![Har xil ishorali sonlarning yig’indisi
musbat ham manfiy ham bo’lishi mumkin
5 + (- 4 ) = 1
4 + (- 7 ) = -3
-4 + 3 = -1
-3 + 8 = 5 + -
Yig’indining ishorasini qanday
bilish mumkin ?](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_13.png)
![4 + (-2); 7 + (-8);-4 + 5; -6 + 3;
8 + (-5); -6 +10; -10 + 6; 5 + (-8).
+ -Har xil ishorali va modullari teng bo‘lmagan
ikkita sonni qo‘shish uchun:
1- qa d a m: moduli kattadan moduli kichigini
ayirish;
2- qa d a m: ayirma oldiga moduli katta
qo‘shiluvchi ishorasini qo‘yish kerak .](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_14.png)
![.](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_15.png)
![15 + (-2)
1 variant 2 variant-19 + …-14 + …33 + … … + (-60) … + (-3) -50
… + (-13) … + (-70)… + 4914 + …-45 + …-52
Taqqoslang >](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_16.png)
![Darslik bilan ishlash .
•
Har xil maxrajli
kasrlarni qo’shish
qoidasi](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_17.png)
![Misolning yechilishini
tushuntiring :
26 + (-6) = + (26 – 6) = 20
-5,7 + 3,4 = -(5,7 – 3,4) = -2,3](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_18.png)
![Uyga vazifa](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_19.png)
![Qoshishni bajaring :
.
12
11
4
4
3
4 ) 11 ;
10
3
7
5
3
2 ) 10
; 25, 1 17 ) 9 ;
8
1
17 29 ) 8 ;
8
3
17
12
5
2 ) 7
;
2
1
3
1
) 6 ;
4
1
77, 2 ) 5 ; 9, 3 9, 3 ) 4
;
14
9
21
17
) 3 ;
7
5
6
5
) 2 ;
21
2
7
3
) 1
](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_20.png)
![Bu qiziq .
Braxmagupta – VII asrda yashagan hind
matematigi u birinchilardan bo’lib musbat
va manfiy sonlarni ishlatgan U musbat
sonlarni “ mulk “ deb , manfiy sonlarni
“qarz” deb atagan](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_21.png)
![•
Ongli arifmetik nima?
•
Mamlakatimizda ko'pchilik uchun aqliy
arifmetika yangi va o'rganilmagan narsa
bo'lib qolmoqda. Biroq, u minglab yillar
davomida mavjud bo'lib, bugungi kunda
Osiyo va G'arbiy Evropa mamlakatlarida
keng qo'llanilmoqda. Bu usul, aqlga
arifmetik hisoblash orqali sifatni va fikrlash
tezligini rivojlanishini rag'batlantiradi va
shu bilan miyaning har ikkala yarmi
oralig'idagi ishlarni yaxshilaydi.](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_22.png)
![E ’ t i b o r i n g i z
u c h u n r a x m a t !](/data/documents/5cc4bfed-2f4d-4b61-b636-42496174ee02/page_23.png)
Takrorlash uchun mashqlar . Og’zaki : To’g’ri javobni toping- 9 + ( - 3 ) = 12 6 -6 -12
Takrorlash uchun mashqlar Og’zaki : To’g’ri javobni toping :- 4 ,8 + 4 ,8 = 9,6 -9,6 8,160 -8,16
Takrorlash uchun mashqlar Og’zaki : To’g’ri javobni toping :- 4 ,8 + ( - 4 ,8 ) = -1 0 9,6 -9,6 -8,16
Takrorlash uchun mashqlar Og’zaki : To’g’ri javobni toping :- 2 + ( - 8 ,2 ) = -6,26,2 10,2 -10,2 -8,4