ppt

1. RATIONAL NUMBERS
A RATIONAL NUMBER IS ANY NUMBER
THAT CAN BE EXPRESSED AS THE QUOTIENT
OR FRACTION p/q OF TWO INTEGERS p AND
q WITH THE DENOMINATOR q NOT EQUAL
TO ZERO.

2. EXAMPLES
 0
 -8
 -11/3
 5/10
 9

3. ADDITION OF RATIONAL NUMBERS
a/b +p/q= aq/bq+bp/bq
=(aq+bp)/bq

4. EXAMPLES
•(x/y) +(y/x)= (x²/xy) +(y²/xy)
=(x²+y²) /xy
• x+(x/x-1) =(x²-x+x)/(x-1)
=x²/(x-1)

5. SUBTRACTION OF RATIONAL NUMBERS
(a/b)-(p/q)=(aq-bp)/bq

6. EXAMPLES
(1/x+2)-(1/x-2) =(x-2-x-2)/(x+2)(x-2)
= (-4)/(x+2) (x-2)
(1/x)-(1/x+1) =(x+1-x)/x(x+1)
=1/x(x+1)

7. MULTIPLICATION OF RATIONAL
NUMBERS
(a/b)x(p/q)=ap/bq

8. EXAMPLES
(4/20)x(3/5)= 12/100
3x(5/12) =15/12

9. DIVISION OF RATIONAL NUMBERS
(a/b)÷ (p/q)=aq/bp

10. EXAMPLES
o (12/5)÷ (2/3)=(12x3)/(5x2)
=36/10
o 9÷(5/2) = (9x2)/5
=18/5