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cxadia, paragrafis dasawyisSi dasmuli problema ase gadawydeba:<br />
mefe<br />
I Taoba<br />
xarisxis ganmartebis Semdeg SegviZlia mravalniSna ricxvi saTanrigo<br />
Sesakrebebad Semdegnairad CavweroT:<br />
27865=2·10000+7·1000+8·100+6·10+5=2·10 4 +7·10 3 +8·10 2 +6·10+5.<br />
magaliTi 1.<br />
ipoveT gamosaxulebis mniSvneloba: a) 2·10 3 ; b) 2 6 +3 4 .<br />
amoxsna:<br />
a) 103 = 10·10·10 = 1000; 2·10 3 = 2·1000 = 2000.<br />
b) 2 6 = 2·2·2·2·2·2 = 64; 2 6 = 64;<br />
3 4 = 3·3·3·3 = 81<br />
2 6 + 3 4 = 64 + 81 = 145.<br />
1<br />
2<br />
3<br />
II Taoba<br />
1<br />
2<br />
3<br />
4<br />
5 . . . . . .<br />
6<br />
7<br />
8<br />
9<br />
me-4 Taoba Sedgeba<br />
3 4 =81 memkvidrisgan<br />
magaliTi 2.<br />
ipoveT 144-isa da 80-is udidesi saerTo gamyofi da umciresi<br />
saerTo jeradi.<br />
amoxsna:<br />
144<br />
12 · 12<br />
2 · 2 · 3 · 2 · 2 · 3<br />
e.i. 144 = 2 4 · 3 2<br />
240 = 2 4 · 3 · 5<br />
240<br />
24 · 10<br />
3 · 2 · 2 · 2 · 2 · 5<br />
u.s.g. (144;240) = 2 4 · 3 = 48<br />
144 = 2·2·3·2·2·3 = 2 4 ·3 2 .<br />
240 = 3·2·2·2·2·5 = 2 4 ·3·5.<br />
144 = 24 · 32 240 = 24 · 3 · 5<br />
u.s.j. (144;240) = 2 4 · 3 2 · 5 = 720<br />
ganxiluli sqemis mixedviT aRwereT mocemuli<br />
ricxvebis udidesi saerTo gamyofisa da umciresi saerTo<br />
jeradis moZebnis xerxebi.<br />
aTiaTaseulebi<br />
gavixsenoT:<br />
2 7 8 6 5<br />
aTaseulebi<br />
aseulebi<br />
aTeulebi<br />
ufrCxilo gamosa xulebaSi<br />
pirvelad Sesruldeba<br />
axarisxeba.<br />
wiTeli cifrebiT miTi-<br />
Tebulia moqmedebis<br />
rigi.<br />
144<br />
72<br />
36<br />
18<br />
9<br />
3<br />
1<br />
2<br />
2<br />
2<br />
2<br />
3<br />
3<br />
21<br />
erTeulebi