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Name of the college : Fatima Memorial 
Training College 
Name of the teacher : Soumya.S 
Name of the subject : Mathematics 
Reg.no : 13352019
`n¶IkwJyIÄ
]qÀ®kwJyIÄ (integers) 
F®Â kwJyIÄ, AhbpsS yq §Ä Chsb 
FÃmw s]mXphmbn ]qÀ®kwJyIÄ 
F¶mWv ]dbp¶Xv.
`n¶IkwJyIÄ (Rational Numbers) 
]qÀ® kwJyIÄ, `n¶kwJyIÄ (A[n kwJyIfpw 
yqkwJyIfpw) F¶nhbvs¡ Ãmw 
s]mXphmbn¸dbp¶ t]cmWv `n¶I kwJyIÄ
`n¶Icq]w 
GXp `n¶I kwJytbbpw (`n¶kwJy 
bmbmepw ]q˨kwJybmbmepw) 
F¶o]qÀ®kwJyIÄ D]tbmKn¨v 
F¶ cq]¯nsegpXmw 
x, y 
x 
y
hnhn[ cq]§Ä 
Hcp `n¶IkwJybpsS Awit¯bpw tOZt¯bpw Htc ] 
qÀ®kwJy sIm­v 
(0 HgnsI) KpWn¨m B `n¶I¯nsâ 
Xs¶ ]e ]e cq]§Ä In«pw. 
a = ax ( x ¹ 
0) 
b bx
`n¶I§fpsS XpI 
Fa , P ¶nh `n¶I§fmbmÂ, 
b q 
a + p = a ´ q + b ´ 
p 
b q b ´ 
q 
aq bp 
bq 
= +
`n¶I§fpsS hyXymkw 
Fa , P ¶nh `n¶I§fmbmÂ, 
b q 
a - p = a ´ q - b ´ 
p 
b q b ´ 
q 
aq bp 
bq 
= -
`n¶I§fpsS KpWw 
Fa , P ¶nh `n¶I§fmbmÂ, 
b q 
a ´ p = a ´ 
p 
b q b ´ 
q 
ap 
bq 
=
`n¶I§fpsS lcWw 
Fa , P ¶nh `n¶I§fmbmÂ, 
b q 
a ¸ P = a ´ 
q 
b q b p 
a q 
b p 
aq 
bp 
= ´ 
´ 
=
Rational Numbers PPT

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Rational Numbers PPT

  • 1.
  • 2. Name of the college : Fatima Memorial Training College Name of the teacher : Soumya.S Name of the subject : Mathematics Reg.no : 13352019
  • 4. ]qÀ®kwJyIÄ (integers) F®Â kwJyIÄ, AhbpsS yq §Ä Chsb FÃmw s]mXphmbn ]qÀ®kwJyIÄ F¶mWv ]dbp¶Xv.
  • 5. `n¶IkwJyIÄ (Rational Numbers) ]qÀ® kwJyIÄ, `n¶kwJyIÄ (A[n kwJyIfpw yqkwJyIfpw) F¶nhbvs¡ Ãmw s]mXphmbn¸dbp¶ t]cmWv `n¶I kwJyIÄ
  • 6. `n¶Icq]w GXp `n¶I kwJytbbpw (`n¶kwJy bmbmepw ]qÀ®kwJybmbmepw) F¶o]qÀ®kwJyIÄ D]tbmKn¨v F¶ cq]¯nsegpXmw x, y x y
  • 7. hnhn[ cq]§Ä Hcp `n¶IkwJybpsS Awit¯bpw tOZt¯bpw Htc ] qÀ®kwJy sIm­v (0 HgnsI) KpWn¨m B `n¶I¯nsâ Xs¶ ]e ]e cq]§Ä In«pw. a = ax ( x ¹ 0) b bx
  • 8. `n¶I§fpsS XpI Fa , P ¶nh `n¶I§fmbmÂ, b q a + p = a ´ q + b ´ p b q b ´ q aq bp bq = +
  • 9. `n¶I§fpsS hyXymkw Fa , P ¶nh `n¶I§fmbmÂ, b q a - p = a ´ q - b ´ p b q b ´ q aq bp bq = -
  • 10. `n¶I§fpsS KpWw Fa , P ¶nh `n¶I§fmbmÂ, b q a ´ p = a ´ p b q b ´ q ap bq =
  • 11. `n¶I§fpsS lcWw Fa , P ¶nh `n¶I§fmbmÂ, b q a ¸ P = a ´ q b q b p a q b p aq bp = ´ ´ =