This document discusses different types of numbers in mathematics. It explains integers as numbers that are positive, negative or zero. Rational numbers are defined as integers or fractions of integers. The document then provides examples of operations that can be performed on rational numbers, such as addition, subtraction, multiplication, and division. It gives the formulas to calculate these operations when working with fractions.

2. Name of the college : Fatima Memorial
Training College
Name of the teacher : Soumya.S
Name of the subject : Mathematics
Reg.no : 13352019

3. `n¶IkwJyIÄ

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
]q˨kwJybmbmepw)
F¶o]qÀ®kwJyIÄ D]tbmKn¨v
F¶ cq]¯nsegpXmw
,x y
x
y

7. 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.
hnhn[ cq]§Ä
 0
a ax
x
b bx
 

8. `n¶I§fpsS XpI
F¶nh `n¶I§fmbmÂ,,
a P
b q
a p a q b p
b q b q
aq bp
bq
  
 




9. `n¶I§fpsS hyXymkw
F¶nh `n¶I§fmbmÂ,,
a P
b q
a p a q b p
b q b q
aq bp
bq
  
 




10. `n¶I§fpsS KpWw
F¶nh `n¶I§fmbmÂ,,
a P
b q
a p a p
b q b q
ap
bq

 



11. `n¶I§fpsS lcWw
F¶nh `n¶I§fmbmÂ,,
a P
b q
a P a q
b q b p
a q
b p
aq
bp
  



