RD Sharma Solutions Ex-1.3, Number System, Class 9, Maths Class 9 Notes | EduRev
RD Sharma Solutions for Class 9 Mathematics
Created by: Abhishek KapoorClass 9 : RD Sharma Solutions Ex-1.3, Number System, Class 9, Maths Class 9 Notes | EduRev
Q1. Express each of the following decimals in the form of rational number.
(i) 0.39
(ii) 0.750
(iii) 2.15
(iv) 7.010
(v) 9.90
(vi) 1.0001
Solution:
(i) Given,
0.39 = 39/100
(ii) Given,
0.750 = 750/1000
(iii) Given,
2.15 = 215/100
(iv) Given,9.101
(iv) Given,
7.010 = 7010/1000
(v) Given,
9.90 = 990/100
(vi) Given,
1.0001 = 10001/10000
Q2. Express each of the following decimals in the form of rational number (p/q)
(i) 
(ii) 
Solution:
(i) Let x = 
Then, x = 
= 0.444… ___ (a)
Multiplying both sides of equation (a) by 10, we get,
10x = 4.44.... ___ (b)
Subtracting equation (1) by (2)
9x = 4
x = 4/9
Hence, = x = 4/9
(ii) Let x =
Then, x = = 0.3737… ___ (a)
Multiplying both sides of equation (a) by 100, we get,
100 x = 37.37.... ___ (b)
Subtracting equation (1) by (2)
99 x = 37
x = 37/99
Hence, = x = 37/99
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