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4 gayofadobis<br />
niSnebi<br />
1. 50 litriani WurWlidan Tafli unda gadanawildes qilebSi.<br />
daadgineT:<br />
a) ramdeni 2- li triani,<br />
b) ramdeni 5-litriani qila dasWirdeba mefutkres?<br />
g) SesaZlebelia Tu ara, rom Tafli mxolod 3-litrian qilebSi<br />
gadanawildes?<br />
amoxsna:<br />
Tu 50 litriani WurWlidan Tafls 2 litrian qilebSi CavasxamT,<br />
maSin dagvWirdeba 50:2 = 25 qila, xolo Tu 5-litrian qilebSi –<br />
50:5 = 10 qila. Tafli mxolod 3 litrian qilebSi ver gadanawildeba,<br />
radgan 50 ar iyofa 3-ze. am SemTxvevaSi gaivseba 16 cali 3-litriani<br />
qila, meCvidmeteSi ki aRmoCndeba Casasxmeli mxolod 2 litri:<br />
50 = 16·3 + 2.<br />
diax, Tqven mSvenivrad iciT, rom naturaluri ricxvebis gayofisas<br />
yovelTvis naturaluri ricxvi ar miiReba. zemoT ganxiluli<br />
da misi msgavsi zogierTi sxva problemis gadasawyvetad ki<br />
mosaxerxebelia vicodeT zogierT ricxvze gayofadobis niSnebi.<br />
vityviT, rom a ricxvi iyofa b ricxvze (davweroT a b) Tu<br />
ganayofi a:b naturaluri ricxvia.<br />
e.i. sruldeba toloba: a=bn, sadac a, b da n naturaluri ricxvebia.<br />
CamovayaliboT 2-ze, 3-ze, 5-ze, 9-ze, 10-ze da 4-ze gayofadobis<br />
niSnebi.<br />
1. 2ze iyofa is da mxolod is ricxvi, romelic luwi cifriT<br />
bolovdeba.<br />
luwi cifrebia 0, 2, 4, 6, 8.<br />
kenti cifrebia 1, 3, 5, 7, 9.<br />
a iyofa 2-ze niSnavs, rom arsebobs iseTi naturaluri k ricxvi,<br />
romlisTvisac sruldeba: a=2k.<br />
a=2k _ luwi ricxvis formulaa.<br />
1 , 2, 3, 4, 5, 6, 7, 8, 9, 10 ...<br />
oris jeradi ricxvebi<br />
naturalur ricxvTa mwkrivSi yoveli me-2 ricxvi orze iyofa.<br />
-Ti maTematikaSi<br />
aRiniSneba sityva<br />
„iyofa“.<br />
50 10<br />
radgan 50 = 5·10<br />
75 5<br />
radgan 75 = 5 · 15<br />
a 3<br />
e.i. a = 3k<br />
27
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