ANSWER:

. Explain each of the following in q

p form:

2. (i) 0.675(ii) 0.3 2 (iii) 0.12 3 (iv) 0.003 52 (v) 4.32 (vi) 2.317317317…..

3. Find two irrational numbers and two RATIONAL numbers between 0.5 and 0.55

4. Simplify each of the following by rationalizing the denominator.

5. (i) 53-7

 537

(ii) 33 22

5 - 32

 (iii) 18 48

25 - 37



6. Simplify:- a) 3√5 + √5 +√180 (b) √54+√150

7. Give an example each of two irrational numbers, whose

(i) difference is a rational number (v) product is a rational number

(ii) difference is an irrational number (vi) product is an irrational number

(iii) sum is a rational number (vii) quotient is a rational number

(iv) sum is an irrational number (viii) quotient is an irrational number

8. Without actual division decide which of following rational numbers have terminating decimal 

representation:-

(i) 375

33

(ii) 28

15

(iii) 45

16

(iv) 35

12

(v) 27

80

(vi) 1250

123

9. Examine whether the following numbers are rational or irrational 

10. (i) 

2

83 (ii) 

2 1

22 















 (iii) 

5

7

22

(iv)   23  3-2   2-3 

  32 

11. Represent 

5

8 and 20 on a number line.

12. (a) Represent 2.5 on a number line. (b) Visualize 0.436 on the number line 

13. Insert 6 rational numbers between

3

 2 and 

4

3

14. Find two irrational numbers between 3 and 2.

15. Rationalise the denominator of 

71

1



16. Given 3 = 1.732 app., find to three places of decimal the value of 

32

321





17. Find the values of ‘a’ and ‘b’ if

18. (a) 347

325





 a  3b (b) 3-5

 35

= 153b

2

1 a 

19. Simplify:- (a)

3-5

3 (b) 

35