# RD Sharma Class 9 Number System Exercise 1.2 Solutions

On this page you will find Maths RD Sharma Class 9 Number System Exercise 1.2 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 1.2 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 1.2 below and it will be beneficial for them.

## RD Sharma Class 9 Number System Exercise 1.2 Solutions

01. Express the following rational numbers as decimals:
(i) $\frac{42}{100}$
(ii) $\frac{327}{500}$
(iii) $\frac{15}{4}$
Solution:
(i) By long division method

Therefore, $\frac{42}{100}=0.42$
(ii) By long division method

Therefore, $\frac{327}{500}=0.654$
(iii) By long division method

Therefore, $\frac{15}{4}=3.75$

Q2. Express the following rational numbers as decimals:
(i) $\frac{2}{3}$

(ii) $-\frac{4}{9}$
(iii) $-\frac{2}{15}$
(iv) $-\frac{22}{13}$
(v) $\frac{437}{999}$
Solution:
(i) By long division method

Therefore, $\frac{2}{3}=0.66$
(ii) By long division method

Therefore, $-\frac{4}{9}=-0.444$
(iii) By long division method

Therefore, $\frac{2}{15}=-1.333$
(iv) By long division method

Therefore, $-\frac{22}{13}=-1.69230769$
(v) By long division method

Therefore, $\frac{437}{999}=0.43743$

Q3. Look at several examples of rational numbers in the form of $\frac{\mathrm{p}}{\mathrm{q}}(\mathrm{q} \neq 0)$, where $\mathrm{p}$ and $\mathrm{q}$ are integers with no common factor other than 1 and having terminating decimal representations. Can you guess what property q must satisfy?
Solution:
A rational number $\frac{\mathrm{p}}{\mathrm{q}}$ is a terminating decimal
only, when prime factors of $q$ are $q$ and 5 only. Therefore,
$\frac{\mathrm{p}}{\mathrm{q}}$ is a terminating decimal only, when prime
factorization of $q$ must have only powers of 2 or 5 or both.

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