On this page you will find Maths RD Sharma Class 9 Number System Exercise 1.3 Solutions. The solutions provided here are to help students practice math problems and get better at solving difficult chapter questions. Maths chapter 1 for class 9 deals with the topic of triangles and it is one of the most important chapters.
Download RD Sharma Class 9 Number System Exercise 1.3 Solutions in PDF
Students can use these solutions to overcome the fear of maths and the solutions have been designed in such a way that it enables them to discover easy ways to solve different problems. These solutions can help students in refining their maths fluency and problem-solving skills. Students can go through the RD Sharma solutions for class 9 chapter 1 Number System Exercise 1.3 below and it will be beneficial for them.
RD Sharma Class 9 Number System Exercise 1.3 Solution
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,
$0.39=\frac{39}{100}$
(ii) Given,
$0.750=\frac{750}{1000}$
(iii) Given,
$2.15=\frac{215}{100}$ (iv) Given, $9.101$
(iv) Given,
$7.010=\frac{7010}{1000}$
(v) Given,
$9.90=\frac{990}{100}$
(vi) Given,
$1.0001=\frac{10001}{10000}$
Q2. Express each of the following decimals in the form of rational number $\left(\frac{p}{q}\right)$
(i) $0 . \overline{4}$
(ii) $0 . \overline{37}$
Solution:
Multiplying both sides of equation (a) by 10 , we get
Subtracting equation (1) by $(2)$
Multiplying both sides of equation (a) by 100, we get,
Subtracting equation (1) by $(2)$
$99 x=37$
$x=\frac{37}{99}$
