asal Çarpanlara ayirma obeb-okek
DESCRIPTION
www.muratguner.net. ASAL ÇARPANLARA AYIRMA OBEB-OKEK. HER ÖĞRENCİ MATEMATİK ÖĞRENEBİLİR. MURAT GÜNER ATAŞEHİR-2013. Bir sayının pozitif çarpanlarından asal olanlarına bu sayının asal çarpanları denir. Veya. Örneğin;. ÖRNEK. ÖRNEK. ÖRNEK. ÖRNEK. ÖRNEK. ÖRNEK. ÖRNEK. ÖRNEK. ÖRNEK. - PowerPoint PPT PresentationTRANSCRIPT
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HER ÖĞRENCİ MATEMATİK ÖĞRENEBİLİR
MURAT GÜNERATAŞEHİR-2013
www.muratguner.net
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Veya
Örneğin;
Bir sayının pozitif çarpanlarından asal olanlarına bu sayının asal çarpanları denir.
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
4.yol
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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OKEK VE OBEB BULMA
1) ORTAK BÖLENLERİN EN BÜYÜĞÜ(OBEB)İki yada daha çok sayıyı birlikte bölebilen en büyük pozitif tamsayıya bu sayıların ortak bölenlerinin en büyüğü denir ve obeb ya da ebob biçiminde gösterilir.
OBEB bulunurken sayılar asal çarpanlarına ayrılır.Ortak olan asal çarpanlardan en küçük üslülerin çarpımı bu sayıların OBEB ini verir.
Örneğin; 12 ve 18 sayılarının en büyük ortak bölenlerini bulalım.
12 nin pozitif bölenleri; 1, 2, 3, 4, 6, 12a)
18 nin pozitif bölenleri; 1, 2, 3, 6, 9, 18
OBEB(12,18) = 6
b) 12 = 22.3
18 = 32.2
OBEB(12,18) = 2.3=6
c) 12 18 2
6 9 2
3 3
1
3
3 1
OBEB(12,18) = 2.3=6( Çember içine alınmış sayıların çarpımı)
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ÖRNEK
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ÖRNEK
( Bölme işlemine devam etmeye gerek yoktur.)
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ÖRNEK
En azı sorulsaydı; A=10B=20
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ÖRNEK
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2) ORTAK KATLARIN EN KÜÇÜĞÜ(OKEK)İki yada daha çok sayıya birlikte bölünebilen en küçük pozitif tamsayıya bu sayıların ortak katlarının en küçüğü denir ve okek ya da ekok biçiminde gösterilir.
OKEK bulunurken sayılar asal çarpanlarına ayrılır.Ortak olan asal çarpanlardan en büyük üslüler ortak olmayan asal çarpanların çarpım ıbu bu sayıların OKEK ini verir.
Örneğin; 12 ve 18 sayılarının ortak katlarının en büyüğünü bulalım.
12 nin pozitif katları; 12, 24, 36, 48, …a)
18 nin pozitif katları; 18, 36, 54, 72,…
OKEK(12,18) = 36
b) 12 = 22.3
18 = 32.2
OKEK(12,18) = 22.32=36
12 18 2
6 9 2
3 3
1
3
3 1
c)
OKEK(12,18) = 2.2.3.3 = 36
He
psi
nin
ça
rpım
ı b
ize
oke
k i v
erir
.
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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ÖRNEK
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RASYONEL SAYILARDA OKEK VE OBEB BULMA
ÖRNEK
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ÖRNEK
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3) OKEK VE OBEB PROBLEMLERİ
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ÖRNEK
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ÖRNEK
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ÖRNEK
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