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pirmyX sMiKAwvW dI GtwE, ivAMjk nUM srl krn dw FMg. -. klws:- s`qvIN ivSw:- gixq AiDAwie:- 2 iqAwr krqw:- jiqMdrjIq (mYQ mwstr) s.s.s.s simtRI rof luiDAwxw. pUrv igAwn prK. sMiKAw iksnUM AwKdy hn? sMmpUrn sMiKAw qoN quhwfw kI Bwv hY? pirmyX sMiKAw qoN quhwfw kI Bwv hY?

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pirmyx smikawvw di gtwe ivamjk num srl krn dw fmg

pirmyX sMiKAwvW dI GtwE, ivAMjk nUM srl krn dw FMg

-

klws:- s`qvIN

ivSw:- gixq

AiDAwie:- 2

iqAwr krqw:-

jiqMdrjIq (mYQ mwstr)

s.s.s.s simtRI rof luiDAwxw

purv igawn prk
pUrvigAwnprK
  • sMiKAw iksnUM AwKdy hn?
  • sMmpUrn sMiKAw qoN quhwfw kI Bwv hY?
  • pirmyX sMiKAw qoN quhwfw kI Bwv hY?
  • ik pirmyX sMiKAw dI Gtwau kIqI jw skdw hY?
  • Awau pirmyX sMiKAwvW dy Gtwau bwry ivsQwr pUrvk jwxdy hW?
slide3
swnUM pqw hY ik jy x Aqy y do sMpUrn sMiKAwvW hox qW x iv`coN y Gtwaux dw mqlb hY[
  • x iv`c –y dw joV Bwv

X-y= x+(-y)

-

-

7/9

4/9

slide4
ie`Qy K`by pwsy dw (-) icMnH Gtwaux dI ikirAw leI vriqAw igAw hY Aqy s`jy pwsy (-) icMnH dw ArQ hY sMmpUrn sMiKAw dw irxwqmk hoxw[
  • do pirmyX sMiKAwvW dy Gtwaux nUM AsIN iesy qrHW pirBwiSq krdy hW[
slide6
audwhrx:-

1/4 nUM 2/3 iv`coN

2/3 – 1/4

=2/3 + (-1/4)

= 2*4+(-1)*3/3*4

=8+(-3)/12

=5/12

slide7
gux 1

joV dy guxw leI x+y = y+x s`c huMdw hY[ prMqU Gtwau dy gux iv`c x-y = y-x s`c nhI huMdw[

pr iDAwn idau ik x-y = -(y-x) ho skdw hY[

slide8
gux 2

joV dy gux leI (x+y) + z = x+(y+z) s`c huMdw hY[ prMqU Gtwau dy gux leI (x-y)-z = x-(y-z) kyvl z=0 leI s`c hY[

bwkI iksy pirmyX sMiKAw leI nhIN

slide9
gux 3:-

joV leI 0 dw gux hY:-

pr Gtwau dy leI, x-0 =x swrIAW pirmyX sMiKAwvW leI s`c hY, pr 0 – x = x kyvl x = 0 leI hI s`c hY[

slide10
ivAMjk nUM srl krn dw FMg

AsIN ie`k ivAMjk

9/10 + 2/3 + 2/5 + (-2/15) + 5/2 – 7/6 nUM srl krky ie`k pirmyX sMiKAw dy rUp iv`c ilKxw cwhuMdy hW , do-do sMiKAwvW lY ky h`l krn dI jgHw hyT ilKy pgW duAwrw vI h`l kIqw jw skdw hY[

slide11
pg 1

ivAMjk nUM pirmyX sMiKAW iv`c ilKx leI sB qoN pihlW AsIN hr pRwpq krdy hW jo ik swnUM ivAMjk dy swry hrW dy l.s.v. qoN imldw hY (audwhrx iv`c 10, 3, 5, 15, 2, 6 dw l.s.v. = 30 hY[)

slide12
pg 2.

pirmyX sMiKAw dw AMS AsIN hyT ilKy pgW iv`c pRwpq krWgy

1) pihlI sMiKAw dy hr nwl l.s.v. nUM Bwg krky BwgPl pRpq krdy hW (audwhrx iv`c hr = 10 Aqy l.s.v. = 30/10 krky BwgPl = 3 pRpq krdy hW)

slide13
2)pihlI sMiKAw dy AMS nUM (a) iv`c pRwpq BwgPl nwl guxw krky ie`k sMpUrn sMiKAw pRpq krdy hW (audwhrx iv`c pihlI sMiKAw dw AMS = 9 hY Aqy (a) iv`coN pRpq BwgPl = 3 hY qW AsIN 9*3=27 pRpq krdy hW[
slide14

3) ivAMjk dIAW swrIAW sMiKAwvW leI pg 2 (a) Aqy (b) nUM duhrwauNdy hW (audhrx iv`c ies qrHW pRpq hox vwlIAW sMpUrn sMiKAwvW qrqIb vwr 20,12,-4,75,-35 hn)

slide15
4) ies qrHW pRpq sMiKAwvW dy ivckwr auhI icMnH lgwauNdy hW, jo ivAMjk iv`c lwgvIA pirmyX sMiKAwvW dy ivckwr l`gy hn[ audwhrx iv`c ies qrHW pRwpq sMpUrn sMiKAw hY 27+20+12+(-4)+75-351
slide16
pg 2 iv`c pRpq ivAMjk qoN srl krky pRpq sMiKAw hI srl kIqI pirmyX sMiKAw dw AMS hY (audwhrx iv`c pRpq AMS 95 hY)
slide17
pg 3

pRpq sMKAw nUM sB qoN srl rUp iv`c ilKdy hW (auprokq audwhrx iv`c swnUM 95/30 srl krn qy pirmyX sMiKAw 19/6 pRpq huMdI hY[)

h l kro
h`lkro
  • Gtwau
  • 1/4 nUM 2/3 iv`coN
  • -3/7 nUM 5/9 iv`coN
  • 7/10 nUM -4/15 iv`coN
  • -6/7 nUM -2/49 iv`coN
slide20
h`l
  • 1/4 nUM 2/3 5/12
  • -3/7 nUM 5/9 62/63
  • 7/10 nUM -4/15 -29/30
  • -6/7 nUM -2/49 40/49
slide21

sRoq

pMjwb skUl is`iKAw borf dI 7vIN dI ihswb dI pwT pusqk

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