RD Sharma Solutions for Class 9 Chapter 1 Number System Exercise 1.3

Chapter 1 Number System RD Sharma Solutions Exercise 1.3 Class 9 Maths

Chapter Name	RD Sharma Chapter 1 Number System Exercise 1.3
Book Name	RD Sharma Mathematics for Class 10
Other Exercises	Exercise 1.1 Exercise 1.2 Exercise 1.4 Exercise 1.5 Exercise 1.6
Related Study	NCERT Solutions for Class 10 Maths

Exercise 1.3 Solutions

1. Express each of the following decimals in the form p/q .
(i) 0.39
(ii) 0.750 
(iii) 2.15
(iv) 7.010 
(v) 9.90 
(vi) 1.0001 

Solution

(i) We have, 
0.39 = 39/100

(ii) We have, 
0.750 = 750/1000 = (750 ÷ 250)/(1000 ÷ 250) = 3/4 
∴ 0.750 = 3/4

(iii) We have 
2.15 = 215/100 = (215 ÷ 5)/(100 ÷ 5) = 43/20
∴ 2.15 = 43/20

(iv) We have, 
7.010 = 7010/1000 = (7010 ÷ 10)/(1000 ÷ 10) = 701/100 
∴ 7010 = 701/100

(v) We have, 
9.90 = 990/100 = (990 ÷ 10)/(100 ÷ 10) = 99/10 
∴ 9.90 = 99/10

(vi) We have, 
1.0001 = 10001/10000
∴ 1.0001 = 10001/10000

2. Express each of the following decimals in the form p/q.

(i) 0.4

(ii) 0.37

Solution