1. Express the following numbers in the form of p/q
(a) -25.6875
(b) 0.621621621..
(c) 15.712121212..
2. Write five rational number between 0.515115111…. and 0.535335333….
3. Find four rational numbers between 3/5 and 4/5.
4. Find two irrational numbers lying between √2and√3.
5. Find two rational and irrational numbers between 0.3101and 0.3222
6. Write one example each of two irrational numbers whose:
a) Sum is a rational number
b) Product is an irrational number
c) Difference is an irrational number
d) Quotient is a rational number
7. If x= 3 + √8, then find the value
2 +
1
2
8. Find the value of a & b if
7−4√3
7+4√3
= + √3
9. Find the value of x if 2
x-7
x 5x-4
=1250
10. Simplify and express the result in the simplest form :
11. .
(25)3/2 x (243)2/5
(16)5/4 x (8)4/3
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