matematika_VII.pdf

3.2 ricxvis procentuli Cawera
mizani:
aTwiladis 100-ze
gamravlebisas mZime
ori cifriT marjvniv
gadagvaqvs.
viswavloT:
1. ricxvis procentuli Cawera;
2. procentis Cawera wiladis saxiT;
3. ricxvis procentis gamoTvla.
monacemebis gadmosacemad xSirad ricxvis procentul
Canawers iyeneben.
ricxvis procentuli Canaweri gviCvenebs ricxvSi
measedebis raodenobas, magaliTad: 1 = 50
2 100 =50%;
0,75=75%.
procentis saxiT Casawerad ricxvs vamravlebT 100-ze da vuwerT
procentis niSans: `%„.
aTwiladis 100-ze
gayofisas mZime ori
cifriT marcxniv
gadagvaqvs.
magaliTi 1. CavweroT procentis saxiT ricxvi: a) 3
1 ;
4
b) 0,432.
3 3
amoxsna: a) 1 = (1 × 100)% = 175% ;
4 4
b) 0,432 = (0,432× 100)% = 43,2% .
aseve unda moviqceT nawilis procentuli CawerisaTvis. magaliTad,
ricxvis 3
5 nawili igivea, rac am ricxvis 3 × 100 procenti, anu 60%; 0,36
5
nawili igivea, rac 0,36× 100 procenti, anu 36%. piriqiT,
ricxvis 1% am
ricxvis measedi
nawilia.
procentis saxiT Cawerili ricxvis wiladis saxiT Casawerad
sakmarisia, procentis ricxvi gavyoT 100-ze.
magaliTi 2. CavweroT wiladis saxiT: a) 48%; b)
325,8%.
12
amoxsna: a) 48% = 48:100 = ;
25
b) 325,8%=325,8:100 = 3,258.
amocana 1. levanis klasSi 30 moswavlea, maTgan 60% gogonaa. ramdeni
gogonaa levanis klasSi?
ricxvis 100% TviT
am ricxvis tolia.
60 3
amoxsna: CavweroT 60% wiladis saxiT: 60% = = .
100 5
e. i. leva nis TanaklaselTa 3
nawili, anu
3
30× = 18
5
moswavle gogonaa.
5
pasuxi: levanis klasSi 18 gogonaa.
a ricxvis p procenti a ricxvis p - 100 nawilis, anu
magaliTi 3. vipovoT 120-is 2,5%.
120× 2,5
amoxsna: = 3 .
100
a x p
- 100 -is tolia.
Tavi 3 • monacemebi 155