Download p q

Class : IX
Subject : Mathematics
p
Assignment 1: Number System
1.
Explain each of the following in
2.
(i) 0.675(ii) 0.3 2 (iii) 0.12 3
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.
73 5
2
(ii) 2
(i) 7 - 3
6.
Simplify:- a) 3√5 + √5 +√180
7.
8.
form:
(iv) 0.003 52
3 - 5
2 3 3
5.
5
q
(v) 4. 32 (vi) 2.317317317…..
7
3 - 5 2
48  18
(iii)
(b) √54+√150
Give an example each of two irrational numbers, whose
(i) difference is a rational number
(ii) difference is an irrational number
(iii) sum is a rational number
(iv) sum is an irrational number
Without actual division decide which of
representation:-
33
(i) 375
15
(ii) 28
(v) product is a rational number
(vi) product is an irrational number
(vii) quotient is a rational number
(viii) quotient is an irrational number
following rational numbers have terminating decimal
16
12
(iii) 45 (iv) 35
80
(v) 27
123
(vi) 1250
9.
Examine whether the following numbers are rational or irrational
2
22
1

3 8
7


10. (i)
(ii)
(iii)
(iv)
2  2


5
2


2 
3
3 
2
 2 -

11. Represent 8 and 20 on a number line.
5
12. (a) Represent
5 . 2 on a number line.
(b) Visualize 0.436 on the number line
13. Insert 6 rational numbers between  2 and 3
4
3
14. Find two irrational numbers between 3 and 2.
1
15. Rationalise the denominator of
1
16. Given
3
7
= 1.732 app., find to three places of decimal the value of 1  2 3
2
3
17. Find the values of ‘a’ and ‘b’ if
18. (a)
5  2
7  4
3
3
ab 3
(b)
5 
5 -
3
3
= 1 a  3b 15
2
19. Simplify:- (a)
3
5 -
(b)
3
21. Evaluate:- a)(390625|6561)
1/2
2 7
5 
3
(b) (1296)1/4 x (1296)1/2
3
 3 -
2
