nbUfnbujljt !txbwmfcb!!JW!lmbtTj! - Ganatleba

More documents

Recommendations

Info

hbnplmfcb! tbbohbsjTp{f/ gameordeba 6.2, oRond, cxadia, sxva ricxvebiT. h!:/!tblpouspmp!xfsb!$!2 1. udides 4 qulas TiTo SecdomisTvis akldeba TiTo q. SeiZleba erTi meqanikuri Secdomis patieba. 2. udides 4 qulas or-ori SecdomisTvis akldeba TiTo q. 3. advilia, amitom udides 4 qulas TiTo SecdomisTvis akldeba TiTo q. 4. Tuki dawyebulia gamravleba, ukve iwereba 1 q. aseve, Tuki dawyebulia namravlidan gamokleba, iwereba 2 q. xolo gamoTvlebis or-ori SecdomisTvis udides 5 qulas TiTo SecdomisTvis akldeba TiTo q. Tuki Tavidanve mcdari moqmedebebiTaa dawyebuli, magram gamoTvlebi marTebuladaa, maSin iwereba 1 q. 5. Tuki daxazulia erTmaneTze nebismierad (Tundac mcdarad) midgmuli oTxkuTxedi da xuTkuTxedi, ukve iwereba 1 q. Tuki marTebuladaa Sesrulebuli mxolod erTi davaleba _ 3 q. orive miRebuli mravalkuTxedis gverdebis raodenobis TiTo SecdomisTvis udides 5 qulas akldeba TiTo q. Tavi II iwyeba meore xazi, ariTmetika-algebrisa: ariTmetikul moqmedebaTa wesebi. aq formulebi weria mxolod masw.isaTvis, da ara moswavleTaTvis! wesebis gazepireba araa saWiro. moswavle gaazrebulad, sakuTari sityvebiT unda ayalibebdes maT, Tundac arc mTlad zustad _ masw.-i Seusworebs. mTavaria, moswavles arsebiTad esmodes es wesebi da gaazrebulad iyenebdes maT saWiroebisamebr. am xazis safexurebi ZiriTadad moswavlis saxelmZRvanelos amocanebSia dawvrilebiT damuSavebuli. sagakveTilo muSaoba Tavidan bevri ar sWirdeba, magram sakiTxis gavlis Semdeg aucilebelia misi xangrZlivi praqtikuli ganmtkiceba. amitom TviTeul safexurs eTmoba saSualod 3 sagakveTilo monakveTi. xolo ganmtkiceba SemdgomSi TavisTavad moxdeba saSinao davalebis amocanebis amoxsnisas da garCevisas. - 48 -
am xazis bolo mesamedis safexurebi Znelia da yvela moswavle ver daeufleba. maTze muSaoba gagrZeldeba V klasSi. Cven Zalian did yuradRebas vuTmobT angariSis advil xerxebs. masw.-s ar unda egonos, rom maTi mTavari mizania swored angariSi da gamoTvlebi. rasakvirvelia, esecaa (gansakuTrebiT, zepiri angariSisa), magram mTavari mainc sxvaa: swored angariSis advili xerxebia bavSvisTvis misawvdomi, bunebrivi da misaRebi saSualeba algebris swavlebisa. mTavari mizania is, rom bavSvi daeuflos algebrul moqmedebaTa sawyisebs, an moqmedebebs gamosaxulebebze. magaliTad: 800 · 7 = 8 · 100 · 7 = 8 · 7 · 100 = 56 · 100 = 5600; 24000 · 3 = 24 · 1000 · 3 = 24 · 3 · 1000 = 72000; 30015 · 4 = (30000 + 15) · 4 = 30000 · 4 + 15 · 4 = 120000 + 60 = 120060. dafaze (da Tan rveulebSi) Sesrulebuli gamoTvlebis TviTeuli moqmedeba xmamaRali msjelobiT unda aRiweros (ras vakeTebT) da unda aixnas (ratomaa ase) _ yovelTvis! ________________________________________________ h!21/!pUyojTob!sjdywfcj/!TftblsfcUb!hbebobdwmfcb!eb!ebkhvgfcb/! 21/2/ 1.8. 1~ 2~ 3# 4# 5# 6 2.1. 1~ 2~ 3~ 4~ (5 _ ara) 6# 21/3/! Tflsfcjt! xftfcj;!TftblsfcUb! hbebobdwmfcb! eb! ebkhv. gfcb (a+b)+c = a+(b+c) = (c+a)+b... wesebi zogadad jer ar Camoyalibdeba _ ubralod, saSinao davalebidan 1-li gakveTilis me-5 amocana gairCeva dawvrilebiT da daskvnebi Camoyalibdeba am kerZo SemTxvevisaTvis. 21/4/!UbnbTj;!txsbgj!qbtvyfcj!`!sjdywfcjt!ubTfcj/•! ix. 7.2, oRond oceuli Seicvalos aTeuliT. magaliTebi: _ ormocdasami {taSi oTxjer, taSi samjer}; samoci {taSi eqvsjer, siCume}; rva {siCume, taSi rvajer} ocdacameti {taSi samjer, taSi samjer}; oci {taSi orjer, siCume}; nuli {siCume, siCume} da ase Semdeg. 21/5/!pUyojTob!sjdywfcj/!!pUyojTob!sjdywjt!xbljUywb/! ! tbbohbsjTp{f! npdfnvmj! sbpefopcjt! tjuzwjfsj! ebtbyfmfcb!eb!djgsvmj!Dbxfsb!ebgb{f/!qjsjrjU;!tjuzwjfsbe! bo! djgsvmbe! npdfnvmj! sjdywjt! blsfgb•! tbbohbsjTp{f/!! - 49 -
Page 1 and 2: nbUfnbujljt q o r b u d a !txbwmfcb
Page 3 and 4: erToblivi garCevisas. Cveneuli meTo
Page 5 and 6: nabiji kidec unda aRiweros da kidec
Page 7 and 8: s.w. # 8 I r. § 1/71 § 1/76 I §
Page 9 and 10: avleba-gayofa ricxvTa xazze), mcire
Page 11 and 12: mocemuli raodenobis sityvieri dasax
Page 13 and 14: 30. sak. wera # 4. Tavi V _ IV.1, I
Page 15 and 16: gayofa erTniSna ricxvze qveSmiweris
Page 17 and 18: 94. naxevari saaTi = 30 wuTi. saaTi
Page 19 and 20: gayofa, rodesac gamyofs boloSi ara
Page 21 and 22: mouwevs me-6 gakveTilze (radgan meT
Page 23 and 24: yoveldRiur rudunebas. es ufro mniSv
Page 25 and 26: moswavle gacilebiT ukeT niSans iReb
Page 27 and 28: i moswavle~. xSirad maT gansxvavebu
Page 29 and 30: wavleTa umravlesoba, bunebrivia, cd
Page 31 and 32: aRniSvna ara aqvs) _ Zneli araa, ar
Page 33 and 34: sainteresoa mesame striqoni _ mofiq
Page 35 and 36: visac rigi mouwevs, eZleva dro _ ta
Page 37 and 38: moswavleebma ase zemodan daaweron x
Page 39 and 40: 30 wT + 30 wT = 1 sT. 5. (2 wT) daf
Page 41 and 42: 8. gakveTilebis gegma-konspeqtebi m
Page 43 and 44: zvsbeSfcb" masw.-ma ar unda gaimeor
Page 45 and 46: da ase Semdeg. 6/4/! pUyj! nbUfnbuj
Page 47: 8/4/! pUyojTob! sjdywfcj/! ! pUyojT
Page 51 and 52: _ saqme isaa, rom sxva asoebi rusul
Page 53 and 54: 26/4/!kbnjt!hbnplmfcb; a - (b+c+d)
Page 55 and 56: 487-iT). masw.-is taSis Semokvraze
Page 57 and 58: 32/2/ 3.4. (1 da 2 _ ara) 3# 4~ 5 6
Page 59 and 60: dawvrilebiT gairCeva amocanebi 1 da
Page 61 and 62: 3:/2/ 4.5. (1, 2, 3 da 4 _ ara) 5~
Page 63 and 64: 4064 4064 4064 4064 + Tu + − Tu
Page 65 and 66: njmjpojt!gbshmfcTj!)bewjmj!TfnUywfw
Page 67 and 68: 9000 da 3400; 4100 da 3800; 780 da
Page 69 and 70: sbtbd! bs! tXjsefcb! rwfTnjxfsb/! !
Page 71 and 72: oTxmonakveTiani Sekruli texili; ask
Page 73 and 74: gakveTilis teqstze (romelic Sin und
Page 75 and 76: modelebs Cayris gudaSi da urCevs, d
Page 77 and 78: SecdomisTvis udides 4 qulas akldeba
Page 79 and 80: ix. 57.2. SigadaSig daemateba `swra
Page 81 and 82: 12) yoveli texili mxolod monakveTeb
Page 83 and 84: ! 77/2/ 10.3. 1# 2 3 4 5~ 6 7# ! 77
Page 85 and 86: gamoTvlisaTvis _ kidev 1 q. sul _ 5
Page 87 and 88: 10) raime ricxvis nulze gayofiT viR
Page 89 and 90: 89/4/! njmjpoj/! sjdywfcj! njmjpoje
Page 91 and 92: ! 93/4/! ovmfcjU! ebcpmpfcvm! Ubobn
Page 93 and 94: Sesruldeba qveSmiweriT gamravleba 5
Page 95 and 96: masw.-is SekiTxvebiT jer gameordeba
Page 97 and 98: masw.-i moswavleebs rig-rigobiT usa
Page 99 and 100:
moxdeba Sedareba: _ dRis 12 saaTi d
Page 101 and 102:
(7 · 100 + 4 · 10 + 5) : 3 = 700
Page 103 and 104:
! 215/4/! UbnbTj;! txsbgj! qbtvyfcj
Page 105 and 106:
ganayofSi. ganayofis aTeulebis Tanr
Page 107 and 108:
(saSualo danayofebs Soris). ! 219/5
Page 109 and 110:
naklulia _ 4 q. Tuki mxolod marTebu
Page 111 and 112:
teqsti. ! h!226/!ovmfcjt!ebnbytpwsf
Page 113 and 114:
amowera; ar miwera imisa, Tu ras Se
Page 115 and 116:
amisTvis gavamravloT 6 · 82 = 492.
Page 117 and 118:
hbtbzpg{f! nfuj! ovmfcj/!masw.-is S
Page 119 and 120:
10) namravli yovelTvis tolia ocisa.
Page 121 and 122:
miTiTebuli geometriuli sxeulis mode
Page 123 and 124:
248/2/ 20.5. 1# 2# 3# 4 5# 6# 7 248
Page 125 and 126:
10. rac ufro didia kubi, miT ufro g
Page 127 and 128:
Tuki mwkrivi kanonzomieradaa gagrZe
Page 129 and 130:
1.24. jufTebad Caweril raodenobaTa
Page 131 and 132:
wiboTa saerTo wvero da waxnagTa sae
Page 133 and 134:
zepiri msjelobis unarCvevebi. yvela
Page 135:
II. angariSis gareSe moifiqreT, rom
show all

nbUfnbujljt !txbwmfcb!!JW!lmbtTj! - Ganatleba

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?