yoveli dadebiTi racionaluri ricxvi Caiwerebasadac m da n naturaluri ricxvebia.m saxiT,ndadebiT racionalur ricxvebTan erTad uaryofiT racionalur ricxvebsacviyenebdiT (magaliTad, temperaturis gamosaxvisas). isini ba saxiT Caiwereba,a mTe li uaryofiTi ricxvia, b _ naturaluri.dadebiTi racionaluri ricxvebi, uaryofiTi racionaluriricxvebi da nuli racionalur ricxvTa simravles qmnis. am simravlesQ-Ti aRvniSnavT.• gaixseneT da CawereT mimarTebebi N, Z da Q simravleebs Soris (magaliTad,Z⊂Q).• warmoadgineT es mimarTebebi venis diagramiT.• vTqvaT, a da b naturaluri ricxvebia. ra SeiZleba vTqvaT a+x=b damx=n gantolebebis amonaxsnebis Sesaxeb _ ra SemTxvevaSia es ricxvebi naturaluri,mTeli, racionaluri?aSearCieT swori pasuxi1 Q-Ti aRvniSnavT1) mTel ricxvTa simravles2) naturalur ricxvTa simravles3) racionalur ricxvTa simravles4) dadebiT racionalur ricxvTa simravles.2 mocemulia formulebi: a)N N⊂Q, b) Z⊂Q, g) Q⊂N. maTgan WeSmaritia1) mxolod a) 2) g) 3) mxolod b) 4) a) da b).3 naturaluri ricxvis mTel ricxvze ganayofi ar SeiZleba iyos1) mTeli ricxvi 2) naturaluri ricxvi3) racionaluri ricxvi 4) nuli.4 ori uaryofiTi racionaluri ricxvis jami ar SeiZleba iyos1) mTeli ricxvi2) -1-ze naklebi racionaluri ricxvi3) nuli.4) -0,001-ze meti racionaluri ricxvi.8
5 CamoTvlili winadadebebidan romelia WeSmariti?1) yoveli racionaluri ricxvi mTelia2) yoveli mTeli ricxvi racionaluria3) yoveli mTeli ricxvi naturaluria4) Tu ricxvi ar aris naturaluri, maSin is mTelia.6 vTqvaT, a da b naturaluri ricxvebia da a+x=b gantolebis fesvicnaturaluria, maSin1) ab 3) a=b 4) a≥b.7 vTqvaT, m da n naturaluri ricxvebia da m>n, maSin m+x=n gantolebisfesvi1) naturaluria 2) ar aris naturaluri3) dadebiTi racionaluri ricxvia 4) nulia.8 Tu raime a da b naturaluri ricxvebisTvis ax=b gantolebis fesvicnaturaluria, maSin1) a aris b-s jeradi 2) a aris b-s gamyofi3) a da b Tanamartivi ricxvebia 4) aucileblad, a=b.9 vTqvaT, a da b naturaluri ricxvebia, a luwia, b _ kenti. maSinax=b gantolebis fesvi1) naturaluri ricxvia 2) mTeli ricxvia3) nulia 4) racionaluri ricxvia.10 Tu m da n raime naturaluri ricxvebia da, amasTanave, m aris n-isjeradi, maSin nx=m gantolebis fesvi1) n-is jeradi ricxvia 2) m-is jeradi ricxvia3) naturaluri ricxvia 4) ar aris mTeli ricxvi.2) axla racionaluri ricxvebis Caweris saxeebi gavixsenoT. wiladis saxesTanerTad vicnobT ba racionaluri ricxvis aTwiladis saxiT warmodgenasac.aTwiladis saxiT Casawerad, ZiriTadad, gayofis wess viyenebT _ vyofTa-s b-ze.magaliTad, 85 =5:8=0,625.Tu 227 -is aTwiladis saxiT Cawera gvsurs da 7-s vyofT 22-ze, maSin gayofisprocesi usasrulod gagrZeldeba: 227 =7:22=0,31818...amasTanave, am SemTxvevaSi cifrebi 1 da 8 erTi da imave TanamimdevrobiTusasrulod meordeba. aseT SemTxvevaSi vambobT: gvaqvs usasrulo perioduliaTwiladi 0,31818..., romlis periodia 18 da mas ase CavwerT: 0,3(18), an ase:0,318. amrigad, 227 Caiwera usasrulo perioduli aTwiladis saxiT: 227 =0,3(18).9
- Page 5 and 6: sarCevirogor visargebloT wigniTI Ta
- Page 7 and 8: VII Tavi albaToba§6.1. elementarul
- Page 9: 1gameoreba. iracionaluri ricxvebi.e
- Page 13: magaliTi 1CavweroT wiladis saxiT: 0
- Page 17 and 18: 3) axla racionaluri ricxvebis geome
- Page 19 and 20: 34 vTqvaT, x racionaluri ricxvia, x
- Page 21 and 22: 49 gamoiyeneT geometriuli warmodgen
- Page 23 and 24: Tu naturalur ricxvTa mwkrividan _1,
- Page 25: sagzao SemTxvevisas moasfaltebulgza
- Page 48: nebismieri namdvili ricxvi SeiZleba
- Page 54 and 55: 1.5 n-uri xarisxis Nfesvi. fesvis T
- Page 56 and 57: CvenileqsikonimaTematikur niSans ,
- Page 58 and 59: 22 romel or momdevno mTel ricxvs So
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1.6 proporcia da ukuproporcia1) saR
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aSearCieT swori pasuxi1 romeli tolo
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19 erTnairi sigrZis ori oTaxidan er
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34 vTqvaT, S manZilia (km-Si), t _
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4 Tu samkuTxedis gverdebi 6, 8, 10-
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1.8 ricxviTi utoloba. utolobaTa dam
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sutolobis > da < niSnebi ingliselma
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23 x>-15, y≤-2,5. CamoTvlilTagan
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40 daasabuTeT: Tu a>0, b>0, c>0, ma
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amoxsna. vTqvaT, moZraobis siCqarea
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7 a-s mniSvnelobebi, romlebisTvisac
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18 erT-erTi raionis pensionerebisTv
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arauaryofiTi mTeli amonaxsnebis mis
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28 |x|>5 utolobis amonaxsnTa simrav
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II xerxi|3x-6|>6, 3|x-2|>6, |x-2|>2
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2) Tu dajarimdi, maSin avtomobilis
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30 nikam 8000 lari or sxvadasxva ba