Question

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​

Answer 1

Answer:

(a) -25.6875

(b) 0.621621621..

(c) 15.712121212..