2 ia:dksh w - educational publications department g-6 p-i s/chap 2 .pdf · 8 fkdñf,a fnod yeÍu...

fkdñf,a fnod yeÍu i|yd h'8 fkdñf,a fnod yeÍu i|yd h' 9

2 ia:dkSh w.h

fuu mdvu wOHhkh lsÍfuka Tng"

² mQ¾K ixLHdjl tla tla b,lalu msysgk ia:dkhg wod< ia:dkSh

w.h oek .ekSug"

² mQ¾K ixLHdjl tla tla b,lalfuka ksrEms; w.h oek .ekSug iy

² ì,shk l,dmh f;la ixLHd lshùug yd wl=ßka ,sùug

yelshdj ,efí'

2'1 ia:dkSh w.h

ixLHd ,sùfï §" wm nyq, j Ndú; lrkafka yskaÿ wrdì ixLHd

l%uh hs' tu l%uh wkqj ixLHd ,sùfï § 0, 1, 2, 3, 4, 5, 6, 7, 8 yd 9 hk

b,lalï oyh Ndú; lrkq ,efí'

ìkaÿfõ isg kjh f;la we;s ixLHdjla ,sùfï §" wm tla b,lalula tla

ia:dkhl ,shhs' WodyrKhla f,i" ;=k hk ixLHdj b,lalï Ndú;

lr ,shkq ,nkafka 3 f,i h' tkï" 3 ,sùug tla ia:dkhla Ndú;

lrkq ,efí' tla ia:dkhla muKla fhdod f.k ,súh yels úYd,;u

ixLHdj 9 fõ'

kjhg jvd tllska úYd, ixLHdj oyh fõ' oyfha isg wkQ kjh

f;la we;s ixLHdjla ,shkafka" b,lalï folla fyda tl u b,lalu

foj;djla fyda ia:dk folla fhdod f.k ,sùfuks'

WodyrKhla f,i" oyh hk ixLHdj" b,lalï Ndú; lr ,shkq

,nkafka 10 f,i h' wkQ kjh hk ixLHdj" b,lalï Ndú; lr ,shkq

,nkafka 99 f,i h' tkï" 10 iy 99 ,sùug ia:dk fol ne.ska Ndú;

lrkq ,efí'

oeka wms 3 yd 5 hk b,lalï fol" ia:dk foll fhdoñka ,shk ixLHd

lsysmhla úuid n,uq'

3 yd 5 hk b,lalï fol 35 f,i ,shQ úg ixLHdj —;sia my˜ fõ'

3 yd 5 hk b,lalï fol 53 f,i ,shQ úg ixLHdj —mkia ;=k˜ fõ'


tkï 3 yd 5 hk tla tla b,lalu msysgk ia:dkh wkqj ,efnk ixLHd

tlsfklg fjkia fõ'

oeka wms ixLHdjl" tla tla b,lalu msysgk ia:dkhg wod< ia:dkSh

w.h;a" tla tla b,lalfuka ksrEms; w.h;a meyeÈ,s lr .ksuq'

² mn¿ ;sia myla f.k oyh ne.ska je,aj,g weuqKQ úg oyfha mn¿

je,a 3la ,efnk w;r" mn¿ 5la b;sß fõ'

oyfha tajd 3 hs' tfla tajd 5 hs'

mn¿ ;sia my" oyfha tAjd ;=klg;a" tfla tAjd mylg;a fjka l< yels h'

tkï"

;sia my = oyfha tAjd 3 + tfla tAjd 5 = 35

by; meyeÈ,s lsÍug wkqj" ;siamfyys tfla tajd 5 ksrEmKh lsÍug" 5

b,lalu ,shk ia:dkfhys ia:dkSh w.h 1 f,i f.k we;' tu ia:dkh

tlia:dkh f,i kï lrkq ,efí'

;sia mfyys" oyfha tajd 3 ksrEmKh lsÍug tlia:dkhg jï miska jQ

ia:dkfhys ia:dkSh w.h 10 f,i f.k" 3 b,lalu tu ia:dkfhys

,shd we;' tu ia:dkh oiia:dkh f,i kï lrkq ,efí'

tla tla ia:dkh y;/ia fldgqjlska i,l=Kq fldg" 35ys tla tla

b,lalfï msysàu my; rEmfha olajd we;'

3 5

oiia:dkh tlia:dkh

oiia:dkfha b,lalu tlia:dkfha b,lalu


35" .Kl rduqjlska ksrEmKh lruq'

10 tAjd 1 tAjd

35 = 10 tAjd 3 + 1 tAjd 5 nj wms bf.k .;af;uq'

tf,i u"

53 = 10 tAjd 5 + 1 tAjd 3 = 50 + 3 o 65 = 10 tAjd 6 + 1 tAjd 5 = 60 + 5 o 99 = 10 tAjd 9 + 1 tAjd 9 = 90 + 9 o fõ'

tkï" ixLHdjl tla tla b,lalu msysgk ia:dkh wkqj tu b,lalfuka

ksrEmKh jk w.hla o we;s nj Tng meyeÈ,s fõ' tu w.hg tu

b,lalfuka ksrEms; w.h he hs lshkq ,efí'

oeka wms 35ys tla tla b,lalfuka ksrEms; w.h fidhuq'

35ys 3ka ksrEms; w.h = 10 tAjd 3 = 3035ys 5ka ksrEms; w.h = 1 tAjd 5 = 5

tlia:dkfha b,lalfuka ksrEmKh l< yels jeä u w.h 9 fõ'

oiia:dkfha b,lalfuka ksrEmKh l< yels jeä u w.h 90 fõ'

.Kl rduqjl tla l+rla i|yd fhÈh yels jeä u .Kl ixLHdj

9ls'


ksoiqk 1

ixLHdj b,lalutu b,lalu msysgk

ia:dkfha ku

tu b,lalfuka

ksrEms; w.h

45

45

30

4

5

0

oiia:dkh'''''''''''''''''''''''''''

tlia:dkh'''''''''''''''''''''''''''

tlia:dkh''''''''''''''''''''''''''''

40''''''''''''

5''''''''''''

0''''''''''''

2'1 wNHdih

(1) my; olajd we;s j.=j iïmQ¾K lrkak'

ixLHdj

tlia:dkfha

b,lalu

oiia:dkfha

b,lalu

tlia:dkfha

b,lalfuka

ksrEms; w.h

oiia:dkfha

b,lalfuka

ksrEms; w.h

63764088

2'2 ia:dkSh w.h ;jÿrg;a

10 tAjd 1 tAjd

ia:dk folla fhdodf.k ,súh yels úYd,;u

ixLHdj 99 fõ' tys oyfha tAjd 9la o tfla tAjd 9la

o we;' 99g jvd 1la úYd, ixLHdj ishh fõ'

ishh b,lalfuka ,sùu i|yd tlia:dkh iy oiia:dkh m%udKj;a

fkdfõ' tneúka oiia:dkhg jïmi ia:dkfhys ia:dkSh w.h 100la

f,i f.k tu ia:dkh ishia:dkh f,i i,lkq ,efí'


100 tAjd 10 tAjd 1 tAjd

túg" —ishh˜ b,lalï Ndú; lrñka ia:dk ;=kla

fhdodf.k 100 f,i ,shkq ,efí'

ixLHdj 100 tAjd 10 tAjd 1 tAjd

100 1 0 0

ia:dk ;=kl" b,lalï fhdoñka ,shk ixLHd ms<sn| j ;jÿrg;a úuid n,uq'

2" 4 iy 5 hk b,lalï ;=k f.k ;eksh yels ixLHd lsysmhla my;

oelafõ' tAjdfha 5 fh§ we;s wdldrh úuis,su;a j n,kak'

245 foish y;,sia my

254 foish mkia y;r 524 mkaish úis y;r

245ys 5 msysgkafka tlia:dkfha fõ' 245ys 5ka ksrEms; w.h = 1 tAjd 5 =5254ys 5 msysgkafka oiia:dkfha fõ' 254ys 5ka ksrEms; w.h =10 tAjd 5 =50524ys 5 msysgkafka ishia:dkfha fõ' 524ys 5ka ksrEms; w.h =100 tAjd 5 =500

fï wkqj" by; ixLHdj, 5 msysá ia:dkh wkqj" 5ka ksrEms; w.h fjkia jk nj meyeÈ,s h'

ixLHdjl tla tla b,lalu msysá ia:dkhg wod< ia:dkSh w.h

ms<sfj<ska ol=fKa isg jug 1" 10" 100" 1000" 10000 wdÈ jYfhka fõ'

fï wkqj ixLHdjl tl <Õ we;s b,lalï foll jïmi we;s b,lalu

msysá ia:dkhg wod< ia:dkSh w.h" ol=Kqmi we;s b,lalu msysá

ia:dkhg wod< ia:dkSh w.h fuka oi .=Khls'


oeka wms 2" 4" 5" 6 iy 7 hk b,lalï" ia:dk myl fhdoñka ,shk ,o

67524 ixLHdfõ tla tla b,lalu msysá ia:dkh kï lruq'

oyia:dkfha b,lalu

oi oyia:dkfha b,lalu

tlia:dkfha b,lalu

oiia:dkfha b,lalu

ishia:dkfha b,lalu

6 57 2 4

tlia:

dkh

oiia:

dkh

ishia:

dkh

oyia:dkh

oi oyi

a:dkh

67524 .Kl rduqjlska ksrEmKh lruq'

10000 tAjd 1000 tAjd 100 tAjd 10 tAjd 1 tAjd

67524 = 10000 tAjd 6 +1000 tAjd 7 + 100 tAjd 5 + 10 tAjd 2 + 1 tAjd 4

oeka wms 67524 ixLHdfjys tla tla b,lalfuka ksrEms; w.h fidhuq'

67524ys 4 msysgkafka tlia:dkfha fõ' 4ka ksrEms; w.h 4 fõ'

67524ys 2 msysgkafka oiia:dkfha fõ' 2ka ksrEms; w.h 20 fõ'

67524ys 5 msysgkafka ishia:dkfha fõ' 5ka ksrEms; w.h 500 fõ'

67524ys 7 msysgkafka oyia:dkfha fõ' 7ka ksrEms; w.h 7000 fõ'

67524ys 6 msysgkafka oi oyia:dkfha fõ' 6ka ksrEms; w.h 60000 fõ'

ksoiqk 1

5968ys tla tla b,lalfuka ksrEms; w.h ,shkak'

8ka ksrEms; w.h = 1 tajd 8 = 8 6ka ksrEms; w.h = 10 tajd 6 = 60 9ka ksrEms; w.h = 100 tajd 9 = 900 5ka ksrEms; w.h = 1000 tajd 5 = 5000


2'2 wNHdih

(1) 99601 hk ixLHdfõ"

(i) ol=Kq fl<jr isg jïmi y;rjekshg fh§ we;s 9ka ksrEms;

w.h lSh o@

(ii) 0 msysá ia:dkhg wod< ia:dkSh w.h lSh o@

(iii) 0ka ksrEms; w.h lSh o@

(iv) ol=Kq fl<jr isg jïmi miajekshg fh§ we;s 9ka ksrEms;

w.h lSh o@

(2) my; oelafjk j.=j iïmQ¾K lrkak'

ixLHdj b,lalu tu b,lalu msysgk

ia:dkfha ku

tu b,lalfuka

ksrEms; w.h

7940 98095 94568 51273 734856 594512 494512 519085 119085 05436 5

(3) 4" 5 iy 8 hk tla tla b,lalu tlajrla muKla fhdod .ksñka ,súh

yels ia:dk ;=fka ixLHd ish,a, ,shkak' tu tla tla ixLHdfõ" 8

msysá ia:dkhg wod< ia:dkSh w.h iy 8ka ksrEms; w.h ,shkak'

(4) 2" 4" 5 iy 9 hk tla tla b,lalu tlajrla muKla fhdod .ksñka

,súh yels"

(i) ia:dk y;f¾ úYd,;u ixLHdj ,shkak' tys tla tla b,lalfuka

ksrEms; w.h ,shkak'

(ii) ia:dk y;f¾ l=vd;u ixLHdj ,shkak' tys tla tla b,lalfuka

ksrEms; w.h ,shkak'


2'3 ixLHd l,dm

mdi,a lsysmhl 6 isg 11 fY%a‚h olajd bf.kqu ,nk uq¿

isiqka ixLHdj 2836696ls'

by; olajd we;s m%ldYfha isiqka ixLHdj" Tng lshúh yels oe hs

n,kak' fujeks ixLHd lshjk wdldrh;a" wl=ßka ,shk wdldrh;a

my; úia;r lr we;'

2836696 ixLHdj i,luq'

fuu ixLHdj" tlia:dkfha isg jïmig ms<sfj<ska ia:dk ;=k ne.ska

b,lalï" ldKavj,g fjka lr" my; wdldrhg ,shuq'

2 836 696

by; oelafjk wdldrhg fjka lrk ,o ldKavhla" ixLHd l,dmhla

hkqfjka ye¢kafõ'

fuu fjka lsÍfï §" wjidkhg fjka flfrk tkï jïmi fl<jfrys

jQ l,dmfha we;s" b,lalï fhfok ia:dk .Kk ;=kg jvd wvq úh yels

h' by; ixLHdfjys tu jïmi l,dmfha ;sfnkafka tla b,lalula

mu‚' tkï 2 mu‚'

fuu ixLHdfõ l,dm my; oelafjk wdldrhg kï lruq'

8362 696

ñ,shk

l,dmh

oyia

l,dmh

tall

l,dmh

fuu ixLHdj lshjkafka foñ,shk wgish

;sia yh oyia yhish wkQ yh f,i hs'

oeka wms 967476568 hk ixLHdj lshjk wdldrh úuid n,uq'

m%:ufhka fuu ixLHdj my; wdldrhg ol=Kqmi isg jïmig l,dmj,g

fjka lruq'

967 476 568

ñ,shk l,dmh

oyia l,dmh

tAll l,dmh

fuu ixLHdj lshjkq ,nkafka kjish yeg y;a ñ,shk ydrish ye;a;E yh

oyia mkaish yeg wg f,i hs'


7686975623 hk ixLHdj lshjk wdldrh o úuid n,uq'

m%:ufhka th l,dmj,g fjka lruq'

7

ì,shk l,dmh

686 975 623

ñ,shk l,dmh

oyia l,dmh

tAll l,dmh

ñ,shk l,dmhg miqj tk l,dmh ì,shk l,dmh f,i kï lrkq ,efí'

by; ixLHdj lshjkq ,nkafka y;a ì,shk yhish wiQ yh ñ,shk

kjish ye;a;E mkaoyia yhish úis ;=k f,i hs'

675278285676 hk ixLHdj lshjk wdldrh ,nd .ekSug o my; whqßka

l,dmj,g fjka l< yels h'

675

ì,shk

l,dmh

278 285 676

ñ,shk

l,dmh

oyia

l,dmh

tAll

l,dmh

fuu ixLHdj lshjkq ,nkafka yhish ye;a;E mka ì,shk foish ye;a;E

wg ñ,shk foish wiQ mka oyia yhish ye;a;E yh hkqfjks'

ixLHdjla tlia:dkfha isg jïmig fufia ia:dk ;=k ne.ska ldKav

lr ,sùu" tu ixLHdj iïu; wdldrhg ,sùu f,i ye¢kafõ'

iïu; wdldrhg ixLHdjla ,sùfï § tla tla l,dmh fjka lr y÷kd

.ekSug l,dm folla w;r l=vd bvla ;nkq ,efí'

ixLHdjla iïu; wdldrhg ,shd .ekSfuka tu ixLHdj myiqfjka

lshjd .; yels jk w;r" tys úYd,;ajh .ek jegySula o ,nd .;

yels h'

igyk

iuyr wjia:dj, l,dm fjka lsÍug l,dm w;r we;s l=vd bv

fjkqjg fldudjla o fhdod .kshs'


idudkH wdldrh iïu; wdldrh

2854375 2 854 375 43529644 43 529 644 204007800 204 007 800 8430000000 8 430 000 000

ixLHd lsysmhla lshjk wdldrh my; j.=fõ oelafõ' tAjd wl=ßka ,shk

wdldrh o thu fõ'

ixLHdjl,dmh ixLHdj lshjk $ wl=ßka ,shk

wdldrhñ,shk oyia tAll

63 276 63 276 yeg ;=ka oyia foish ye;a;E

yh

654 378 654 378 yhish mkia y;r oyia ;=kaish

ye;a;E wg

2 000 375 2 000 375 foñ,shk ;=kaish ye;a;E my

43 001 000 43 001 000 y;,sia ;=ka ñ,shk tla oyi

204 007 800 204 007 800foish y;r ñ,shk y;a oyia

wgishh

ixLHdjla wl=ßka ,shk wdldrh fyda lshjk wdldrh fyda tys ixLHd

kduh f,i ye¢kafõ'

uqo,a .kqfokq iïnkaO ,smsf,aLkj, § fuf,i uqo, wl=ßka ,shd oelaùu nyq, j isÿ fõ'

ixLHdj ixLHd kduh jHjydrfha mj;sk fjk;a kdu

100 000 ishla oyi ,laIh

1 000 000 ñ,shkh oi ,laIh

10 000 000 oi ñ,shkh fldaáh

100 000 000 ishla ñ,shkh oi fldaáh

wu;r oekqug


(1) my; j.=fõ ysia;eka iïmQ¾K lrkak'

ixLHdj ixLHd kduh

63 465

71 005

125 368

300 300

2 178 525 348

''''''''''''''''''''''''''''''

''''''''''''''''''''''''''''''

''''''''''''''''''''''''''''''

'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

;=ka ñ,shk wg ish oyia foiSh'

y;a ì,shk foish mkia ñ,shk úiai'

wg ì,shk wg'

ls%hdldrlu 1

2'3 wNHdih

(1) my; olajd we;s tla tla ixLHdj iïu; wdldrfhka ,shkak'

(i) 72350 (ii) 55000 (iii) 27201125

(iv) 300001279 (v) 299000001 (vi) 21345699

(2) l,dmj,g fjka lr olajd we;s" my; oelafjk ixLHd wl=ßka ,shd

olajkak'

l,dmh ixLHdj

wl=ßkaì,shk ñ,shk oyia tAll

(i) 10 040 500 000(ii) 4 750 050 000(iii) 1 010 100 500(iv) 75 004 350 050

(3) my; olajd we;s ixLHd fhdod f.k j.=j iïmQ¾K lrkak'

(i) 76735 (ii) 864657 (iii) 2769812 (iv) 47867619 (v) 763156561 (vi) 6746971256 (vii) 276523164515


ixLHdj

l,dmh ixLHdj

wl=ßkaì,shk ñ,shk oyia tAll

(4) my; olajd we;s tla tla ixLHdj iïu; wdldrhg ,shd" ixLHd

kduh o ,shd olajkak'

(i) 50800435000 (ii) 43050800500 (iii) 585000430 (iv) 300001283 (v) 299000003 (vi) 272000023(vii) 100200030000 (viii) 553000000 (ix) 47000005

(5) my; wl=ßka olajd we;s tla tla ixLHdj iïu; wdldrhg ,shkak'

(i) ydrish mka oyi (ii) ;=kaish úismka oyia mkaishh

(iii) y;r ñ,shk wgish oyi (iv) yh ì,shk yeg ñ,shkh

(v) oywg ñ,shk úis y;r oyia mky

(6) 149597870

mDÓúh iQ¾hhd

mDÓúh yd iQ¾hhd w;r ÿr

lsf,daógr 149597870ls' fuu

ixLHdj iïu; wdldrfhka

,shd wl=ßka ,shk wdldrh o

,shd olajkak'

(7) jHdmdßlhl= remsh,a 15006500 l uqo,la nexl=jl ;ekam;a lsÍug hhs' Tyq nexl= fmdaruhl tu uqo, wl=ßka ,shd oelaúh hq;af;a flfia o@

ñY% wNHdih

(1) fuys olajd we;s tla tla ixLHdj" ksoiqfka oelafjk wdldrhg ia:dkSh w.h weiqfrka úysÿjd ,shkak'

fkdñf,a fnod yeÍu i|yd h'20 fkdñf,a fnod yeÍu i|yd h' PB

ksoiqk

6745 = 1000 tAjd 6 + 100 tAjd 7 + 10 tAjd 4 + 1 tAjd 5 (i) 24 (ii) 40 (iii) 546 (iv) 7163 (v) 92651(2) my; j.=j iïmQ¾K lrkak'

ixLHdj b,lalutu b,lalu msysgk

ia:dkfha ku

tu b,lalfuka

ksrEms; w.h

(i) 80 341 3(ii) 64 592 9(iii) 200 450 2(iv) 185 340 8(v) 4 500 000 4

(3) 8" 6" 5" 3 iy 1 hk b,lalïj,ska" tla b,lalula tla jrla muKla fhdod.ksñka ,súh yels ia:dk y;f¾"

(i) úYd,;u ixLHdj ,shkak' tys 3ka ksrEms; w.h ,shkak'

(ii) l=vd;u ixLHdj ,shkak' tys 3ka ksrEms; w.h ,shkak'

(4) my; olajd we;s tla tla ixLHdj iïu; wdldrhg ,shd" tAjd lshjk wdldrh o ,shd olajkak'

(i) 450050 (ii) 37504537 (iii) 212345699(iv) 8432109640 (v) 2003040050 (vi) 143021000

(5) tlsfklg fjkia jQ b,lalï ;=kla Ndú;fhka ,súh yels" wjika l,dmh ñ,shk l,dmh jk l=vd;u ixLHdj l=ula o@ tu ixLHdj wl=ßka o ,shd olajkak'

(6) wjika l,dmh ì,shk l,dmh jk úYd,;u ixLHdj l=ula o@ tu ixLHdj wl=ßka o ,shd olajkak'

² ixLHdjl tla tla b,lalu msysá ia:dkhg wod< ia:dkSh w.h

ms<sfj<ska ol=fKa isg jug 1" 10" 100" 1000" 10 000 wdÈ jYfhka fõ'

² ixLHdjl tla tla b,lalfuka ksrEms; w.h" tu b,lalu msysá

ia:dkh wkqj ;SrKh fõ'

² ixLHdjla iïu; wdldrhg ,shd .;a úg" tu ixLHdj lshùu yd

wl=ßka ,shd oelaùu myiq fõ'

idrdxYh

2 ia:dksh w - educational publications department g-6 p-i s/chap 2 .pdf · 8 fkdñf,a fnod yeÍu...

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