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pirmyX sMiKAwvW dw joV

+. pirmyX sMiKAwvW dw joV. jmwq – s`qvIN ivSw - gixq AiDAwey nM - 2 AiDAwpk dw nW – vMdnW skUl dw nW – s. s. skUl vzIdpur nOgWvW. audyS :- ividAwrQIAW nUM pirmyyyyX sMiKAWvW dw joOV krnw dsnw [. pUrv igAwn. pirmyX sMiKAw kI huMdw hY? joV ikvyN krogy?

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pirmyX sMiKAwvW dw joV

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  1. + pirmyX sMiKAwvW dw joV jmwq – s`qvIN ivSw- gixq AiDAweynM - 2 AiDAwpk dw nW – vMdnW skUl dw nW – s. s. skUlvzIdpurnOgWvW

  2. audyS:-ividAwrQIAW nUM pirmyyyyX sMiKAWvW dw joOV krnw dsnw[

  3. pUrvigAwn • pirmyX sMiKAw kI huMdw hY? • joV ikvyN krogy? • hr Aqy AMS ikvyN krogy?

  4. pirmyX sMiKAwvW dw joV • sMpUrn sMiKAwvw dw joVPl sMpUrn sMiKAw huMdw hY[ • iesy qrHW pirmyX sMiKAwvW dw joVPl pirmyX sMiKAw huMdw hY[ • ijvyN 8/13 Aqy 6/13 brwbr hr vwlIAW sMiKAwvW hn[ • iehnW dw joV 8+6/13=14/13 vI ie`k pirmyX sMiKAw hY ijs dw AMS 14 Aqy hr 13 hY[ + 4/9 + 7/9

  5. pirmyX sMiKAwvW dw joV • A`j AsIN pirmyX sMiKAwvW dw joV krnw is`Kgy[ • mMn lE do pirmyX sMiKAwvW 3/4 Aqy 5/7 hn[ • dono dy hr v`K-2 hn so AsIN iehnW nMU brwbr hr vwlIAW sMiKAwvw iv`c ilKgy iPr joV krygy[

  6. pirmyX sMiKAwvW dw joV • 3/4 = 3 * 7 / 4 * 7 = 21/28 • 5/7 = 5 * 4 / 7 * 4 = 20/28 • 3/4 + 5/7 = 21/28 + 20/28 • = 21+20/28 • = 41/28 au`qr

  7. pirmyX sMiKAwvW dy joV dy gux

  8. joV dy gux 1 • jy x Aqy y do pirmyX sMiKAwvW hox qW • x + y = y + x

  9. joV dy gux 1 dy audwhrx • -4/7 + 7/11 = -4 + 7/11 = 3/11 • Aqy 7/11 + -4/11 = 7-4/11 = 3/11

  10. joV dy gux 2 • jy x, y Aqy z iqMn pirmyX sMiKAwvW hn qW • (x + y) + z = x + (y + z)

  11. joV dy gux 2 dy audwhrx • audwhrx dy leI -3/4 , 9/4 Aqy 11/4 dw joVPl ies qrHW pRwpq krWgy[ • -3/4+9/4+11/4=[-3/4+9/4]+11/4=6/4+11/4=17/4 • joV ies qrHW vI pRwpq kr skdy hW • -3/4+[9/4+11/4]=-3/4+20/4=17/4

  12. joV dy gux 3 • jy x ie`k pirmyX sMiKAw hY qW • 0 + x = x + 0 = x

  13. joV dy gux 3 dy audwhrx • 0+7/11 = 0/11 + 7/11 = 0 + 7/11 = 7/11 • swnMU ies qrHW pRwpq huMdw hY

  14. joV dy gux 4 • jy x ie`k pirmyX sMiKAw hY, qW pirmyX sMiKAw dy leI • x + (- x) = - x + x = 0 hY[ -x sMiKAw x dw irxwqmk hY[ • ies qoN ieh vI nqIjw inkldw hY ik – x, x dw Aqy x, - x dw irxwqmk hY[

  15. joV dy gux 4 dy audwhrx • 0+7/11 = 0/11 + 7/11 = 0 + 7/11 = 7/11 • swnMU ies qrHW pRwpq huMdw hY

  16. AiBAws

  17. pRSnwvlI • joV kro[ • 5/7 Aqy 6/7 • 7/11 Aqy -6/11 • 3/13 Aqy 7/-13 • -15/19 Aqy 3/-19

  18. pRSnwvlI • srl kro[ • -3/5 + 6/7 • -5/-9 + 7/11 • -4/15 + -2/20 • -3/22 + 4/33

  19. istw:-ividAwrQIAW ny pirmyyyyX sMiKAWvW dw joOV krnw isiKAw[

  20. shwiek smgrI- 1.s`qvIN jmwq dI p.s.is.bo. dI ikqwb dI vrqoN[ 2.ieMtrnYt sooOrs dI vrqoN[

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