I Tavi

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I TavSi Seswavlili masalis mokle mimoxilva
● a ricxvis n naturaluri xarisxi – an , sadac n>1, ewodeba n cali
ricxvis namravls, romelTagan TiToeuli a­s tolia. a­s xarisxis
fuZe ewodeba, n­s _ xarisxis maCvenebeli.
miRebulia, rom a1 = = a . n a a· a· ... · a
1 42 4 3
-
.
n jer
● vityviT, rom a ricxvi iyofa b ricxvze (davweroT a b) Tu ganayofi
a:b naturaluri ricxvia.
●
1. 2-ze iyofa is da mxolod is ricxvi, romelic luwi cifriT bolovdeba.
2. 10-ze iyofa is da mxolod is naturaluri ricxvi, romelic 0-iT
bolovdeba
3. 5-ze iyofa is da mxolod is naturaluri ricxvi, romlis bolo cifria 5
an 0.
4. 3-ze iyofa is da mxolod is ricxvi, romlis cifrTa jami iyofa 3-ze.
5. 9-ze iyofa is da mxolod is ricxvi, romlis cifrTa jami iyofa 9-ze.
6. 4-ze iyofa is da mxolod is ricxvi, romlis bolo ori cifrisagan
Sedgenili ricxvi iyofa 4-ze.
● Tu a (bc), maSin a b da a c.
● Tu a ricxvi iyofa b da c ricxvebze da u. s. g. (b;c) = 1, maSin a gaiyofa
bc-ze.
● Tu a ricxvi iyofa c ricxvze da b ricxvic iyofa c-ze, maSin a + b da a – b
ricxvebic gaiyofa c-ze.
● ori ricxvis jami gaiyofa c ricxvze, Tu TiToeuli ricxvis c-ze gayofisas
miRebuli naSTebis jami iyofa c-ze.
● sagnebs, romelTa erTobliobasac simravle warmoadgens, am simravlis
elementebi ewodeba.
● vityviT, rom A da B simravleebi tolia da CavwerT A=B, Tu es simravleebi
Sedgeba erTi da imave elementebisagan.
● C iyos yvela im elementTa simravle, romlebic ekuTvnis rogorc A,
ise B simravles. amgvarad Sedgenil C simravles A da B simravleebis
TanakveTa ewodeba da Caiwereba ase:
C=A B ( – TanakveTis niSania).