Class 9 Exam  >  Class 9 Notes  >  RD Sharma Solutions for Class 9 Mathematics  >  RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics PDF Download

Q1. Express the following rational numbers as decimals:

(i) 42/100

(ii) 327/500

(iii) 15/4

Solution:

(i) By long division method

100) RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics ( 0.42

400

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

200

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Therefore,  42/100 = 0.42

(ii) By long division method

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

3000

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

2500

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

2000

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Therefore, 327/500 = 0.654

(iii) By long division method

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

12

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

28

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

20

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Therefore, 15/4 = 3.75


Q2. Express the following rational numbers as decimals:

(i) 2/3

(ii)  RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics
RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics
RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics
(v) 437/999

Solution:

(i) By long division method

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

18

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

18

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Therefore, 2/3 = 0.66

(ii) By long division method

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

3600

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

3600

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

3600

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Therefore, RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics– 0.444

(iii) By long division method

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

15

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

45

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

45

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

45

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Therefore, 2/15 = -1.333

(iv) By long division method

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

13

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

78

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

117

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

26

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

39

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

91

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

78

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

117

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Therefore,  RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics = – 1.69230769

(v) By long division method

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

3996

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

2997

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

6993

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

3996

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

2997

RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Therefore, 437/999 = 0.43743


Q3. Look at several examples of rational numbers in the form of p/q (q ≠ 0), where p and 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 p/q is a terminating decimal only, when prime factors of q are q and 5 only. Therefore, p/q  is a terminating decimal only, when prime factorization of q must have only powers of 2 or 5 or both.

The document RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics is a part of the Class 9 Course RD Sharma Solutions for Class 9 Mathematics.
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FAQs on RD Sharma Solutions Ex-1.2, Number System, Class 9, Maths - RD Sharma Solutions for Class 9 Mathematics

1. What are RD Sharma Solutions?
Ans. RD Sharma Solutions are comprehensive solutions to the math textbook authored by R.D. Sharma. These solutions provide step-by-step explanations and solutions to the questions and exercises in the textbook, helping students understand and solve math problems effectively.
2. What is Ex-1.2 in RD Sharma Solutions for Class 9?
Ans. Ex-1.2 in RD Sharma Solutions for Class 9 refers to Exercise 1.2 in the textbook. This exercise is part of the Number System chapter and covers various topics related to number systems such as integers, rational numbers, irrational numbers, etc. The solutions provided for Ex-1.2 help students practice and understand these concepts better.
3. How can RD Sharma Solutions for Class 9 be beneficial for exam preparation?
Ans. RD Sharma Solutions for Class 9 are highly beneficial for exam preparation as they provide detailed explanations and step-by-step solutions for each question in the textbook. By practicing these solutions, students can improve their problem-solving skills, understand the concepts better, and gain confidence for the exams.
4. Are RD Sharma Solutions for Class 9 available in the same language as the article title?
Ans. Yes, RD Sharma Solutions for Class 9 are available in the same language as the article title. These solutions are designed to cater to students studying in schools where the medium of instruction is the same language as mentioned in the article title. This ensures that students can easily understand and grasp the concepts explained in the solutions.
5. Can the RD Sharma Solutions for Class 9 help in improving overall math skills?
Ans. Yes, RD Sharma Solutions for Class 9 can definitely help in improving overall math skills. The solutions provided in these books not only focus on solving the textbook questions but also provide additional practice exercises and problem-solving techniques. By consistently practicing these solutions, students can enhance their mathematical reasoning, logical thinking, and problem-solving abilities, which are essential for excelling in mathematics.
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