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.