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maTematika IV klasi maswavleblis wigni

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Tavi I<br />

gameoreba. naturaluri ricxvebi aTasamde<br />

am TavSi warmodgenili masalis swavlebas gamorCeuli mniSvneloba eniWeba saswavlo<br />

procesSi. migvaCnia, rom sazafxulo ardadegebis Semdeg moswavleTa CarTva saswavlo<br />

procesSi unda ganxorcieldes III klasSi Seswavlili ZiriTadi sakiTxebis gameorebiT.<br />

umartivesi samotivacio amocanebis ganxilviT xdeba moswavleTa Semzadeba II Tavis<br />

masalis, kerZod, milionamde naturaluri ricxvebis gasacnobad. yuradRebas vamaxvilebT<br />

ricxvTa poziciur (aTobiT) sistemaSi Tanrigebis arsze. ganvixilavT naturalur ricxvTa<br />

miaxloebiT mniSvnelobebs, damrgvalebas da maT gamoyenebebs. mniSvnelovania agreTve<br />

naturalur ricxvTa Sedarebisa da dalagebis Sesaxeb warmodgenebis gameoreba. Tavis<br />

Seswavlas davasrulebT damatebiTi amocanebis ganxilviT.<br />

martivi amocanebis siWarbe, vfiqrobT, aamaRlebs saswavlo procesSi moswavleTa<br />

CarTulobis xarisxs. aqvea aratrivialuri amocanebic, romelTa amoxsna xSirad sakmao<br />

gamWriaxobas moiTxovs.<br />

1. gavixsenoT aTasamde naturaluri ricxvebis Caweris wesi<br />

am paragrafSi yuradRebas vamaxvilebT ricxvebis Caweris poziciur sistemaze, Ti-<br />

Toeuli poziciis Tanrigis mniSvnelobis gaazrebaze. es sakiTxebi, garkveulwilad wina<br />

klasebSic iyo ganxiluli, Tumca, amjeradac _ sazafxulo ardadegebis Semdeg, uTuod<br />

gamarTlebulia maTi xelaxeli ganxilva.<br />

paragrafis teqstSi I da II skolis mier nayidi fanqrebis odenobis gamomsaxveli ricxvebis<br />

aTobiT CanawerebSi cifri 2 fanqrebis sxvadasxva odenobas aRwers. I SemTxvevaSi _ 200<br />

fanqars, II SemTxvevaSi _ 2 fanqars. es faqti, suraTebze warmodgenisas, TvalsaCinoa.<br />

diagramis gamoyenebiT TvalsaCino warmodgena xels uwyobs pozitiuri sistemis ukeT<br />

gaazrebas. savarjiSoebSi mocemuli ricxvebi sasurvelia moswavleebma xmamaRla warmoTqvan<br />

_ gaiwafon ricxvis wakiTxvaSi. ramdenime savarjiSoSi mouwevT mocemulis wina da<br />

momdevno ricxvebis dasaxeleba da gaSlili formiT _ saTanrigo SesakrebTa jamis saxiT<br />

warmodgena.<br />

15 amocanaSi moswavle iwafeba kombinatorikis gamoyenebaSi amocanebis amoxsnisas. am<br />

ricxvebis Camowerisas moswavlem sasurvelia raime wesiT isargeblos. magaliTad, Camoweros<br />

jer 2-iT dawyebuli ricxvebi (237, 273), Semdeg 3-iT, Semdeg 7-iT dawyebuli ricxvebi.<br />

16 arsebobs oci aseTi ricxvi: 800, 811, 822, ... , 899, 900, 911, ... , 999.<br />

17 arsebobs oTxi aseTi ricxvi: 607, 707, 807, 907.<br />

18 arsebobs ori aseTi ricxvi: 802, 903.<br />

19 amocanis amoxsnamde SeiZleba <strong>klasi</strong> SevamzadoT kiTxva-pasuxis reJimiT:<br />

• dawereT ramdenime samniSna ricxvi, romlis aTeulebis cifri erTeulebis da aseulebis<br />

cifrebis jamis tolia (magaliTad, 781, 132, ...). akmayofilebs es ricxvebi amocanis pirobas?<br />

pirobis ra nawilia darRveuli?<br />

21

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