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NCERT Solutions for Class 9 Maths Chapter 1 : Number Systems

Number Systems
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The first chapter solved in NCERT Solutions Maths Class 9 is the Number System. In this chapter, you will be learning the extended version of the number line and how to represent various types of numbers. With a total of 6 exercises, this chapter contains the representation of terminating/non-terminating recurring decimals on the number line (and successive magnification method). With the knowledge of rational numbers, you will also learn about the presentation of square roots of 2, 3 and other non-rational numbers. Laws of integral powers and rational exponents with positive real bases in Number Systems and Rationalization of real numbers. Get the NCERT Maths Class 9 solutions to help you to answer all the exercises given in the textbook for this chapter.

NCERT Solutions for Class 9 Maths Chapter 1 by Swiflearn are by far the best and most reliable NCERT Solutions that you can find on the internet. These NCERT Solutions for Class 9 Maths Chapter 1 are designed as per the CBSE Class 9 Maths Syllabus. These NCERT Solutions will surely make your learning convenient & fun. Students can also Download FREE PDF of NCERT Solutions Class 9 Chapter 1.

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NCERT Solutions for Class 9 Maths Chapter 1 Number Systems EX 1.1

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems EX 1.2

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems EX 1.3

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems EX 1.4

Question 1.
Visualize 3.765 on the number line using successive magnification.

Solution:
To visualize 3.765 on the number line, we must follow these steps:
(i) Firstly, we observe that 3.765 lies between 3 and 4. Now, divide this portion into 10 equal parts.
(ii) We locate 3.76 between 3.7 and 3.8.
(iii) To get a more accurate visualization, we further divide this portion into 10 parts and locate it.
(iv) Further, we locate 3.765 between 3.76 and 3.77.
(v) To locate this, we divide the portion between 3.76 and 3.77 into 10 equal parts and hence locate 3.765

As a result, we need to use the successive magnification, after locating numbers 3 and 4 on the number line.

Question 2:
Visualize 4.26262626… on the number line, up to 4 decimal places.

Solution:
To visualize 4. 262626.. on the number line, we must follow these steps:
(i) Firstly, we observe that 4.2 lies between 4 and 5.

(ii) Now, divide this portion into 10 equal parts.
(iii) Next, we locate 4.26 between 4.2 and 4.3.
(iv) To get a more accurate visualization, we further divide this portion into 10 parts and locate it.
(v) Further, we visualize 4.262 and observe that it lies between 4.26 and 4.27.
(vi)To locate this, we divide the portion between 4.26 and 4.27 into 10 equal parts and locate 4.262
(vii) We observe that 4.2626 lies between 4.262 and 4.263.
(viii) To find this, we divide the portion further into 10 parts and hence locate 4.2626

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems EX 1.5

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems EX 1.6

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