Assignment - Number System, Class 9 Math PDF Download

TRUE / FALSE TYPE QUESTION
1. The sum of two rational numbers in rational
2. The sum of two irrational numbers is irrational.
3. The product of two rational numbers is rational.
4. The product of two irrational numbers is irrational.
5. The sum of a rational number and an irrational number is irrational.
6. The product of a non zero rational number and an irrational number is a rational number.
7. Every real number is rational.
8. π is irrational and 22/7 is rational.
9. Every rational number must be a whole number.
10. The number zero is both positive and negative.
11. The sum of two prime numbers is always even.
12. The product of two odd numbers is always odd.

FILL IN THE BLANKS
13. Every point on the number line corresponds to a .................. number which may be either .................. or ..................
14. The decimal form of an irrational number is neither .................. nor ..................
15. The decimal representation of the rational number 5/26 is ..................
16. O is a / an .................. number
17. The decimal equivalent to 7/12 is ..................
18. The decimal equivalent to 49/396 is ..................
19. The common fraction equivalent to 0.09375 is ..................
20. The common fraction equivalent to is ..................
21. Every real number is either .................. number or .................. number.

VERY SHORT ANSWER TYPE QUESTION

22. Express the following in the form of p/q.

23. Examine, whether the following numbers are rational or an irrational :

(i) √7       
(ii) 4       
(iii) (2+√3)   
(iv)      
(v) √3+ √5
(vi) (√2) + 2)²         
(vii) (2-√2)(2+√2)     
(viii) (√2+√3²)         
(ix) √5 - 2             
(x) (-2√8/5)
(xi) 4/√5

24. Write two irrational numbers between 0.2 and 0.21.
25. Write three irrational numbers between 0.202002000200002.... and 0.203003000300003.... .
26. (i) Write two irrational numbers between 0.21 and 0.2222....
(ii) Find three different irrational numbers between the rational numbers 5/7 and 5/9
27. Write three irrational numbers between √3 and √5 .
28. Find two irrational numbers between 0.5 and 0.55.

29. Find two irrational numbers between 0.1 and 0.12.
30. If ∛2 = (x)^1/12, find x. 
31. If = (x)^1/12, find x.
In each of the following express the result in the simplest form.

32.
33. 

34. 

35. 

36. 

Express as a pure surd :-

37. 

38. 

39. 

40. 

Express each of the following as a mixed surd :-

41. 

42. 

43. 

44. 

45. Simplify :-

46. 

47. 

48. 

49. 

50. Find the rationalising factor of

(i) 

(ii)  

(iii) 

SHORT ANSWER TYPE QUESTION

ANSWER KEY

TRUE & FALSE TYPE QUESTIONS
1. True

2. False

3. True

4. False

5. True

6. False

7. False

8. True

9. False

10. False

11. False

12. True

FILL IN THE BALANKS

13. Real, Rational number, irrational number

14. Terminating, recurring

15. 0.192

16. Rational

17.  

18. 

19. 3/32

20. 718/1665

21. Rational, irrational

VERY SHORT ANSWERS

22. (i) 1/3   (ii) 37/99    (iii) 6/11   (iv) 5/99    (v) 4/3    (vi) 23/37      (vii) 311/99    (viii) 9/55    (ix) 49/37    (x)295/9

23. (i) Irrational (ii) Rational (iii) Irrational (iv)Irrational (v) Irrational (vi)Irrational
(vii) Rational (viii) Irrational (ix) Irrational (x) Irrational (xi) Irrational

24. 0.2010010001...., 0.2020020002....
25. 0.20201001000100001...., 0.202020020002..., 0.202030030003....
26. (i) 0.21010010001.... , 0.21020020002..... (ii) 0.2010010001 ............., 0.2020020002 ...........,
27. 1.8010010001....., 1.9010010001..., 2.010010001...

28. 0.501001.001..., 0.5020020002.....
29. 0.101001000100001, 0.1020020002....

30. 16

31. 7

32. -3ab .

33.  

34. 

35. 

36. 

37. 

38. 

39. 

40.  

41. 

42. 

43. 

44. 

45. 

46. 

47. 33 

48. 

49. 

50.