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# NCERT Solutions for Class 9 Maths Chapter 1 Number Systems - PDF Download

The NCERT solutions for class 9 mathematics chapter 1 include an introduction to the number system and the various types of numbers within it. There are many different types of numbers in the number system, such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers. The number system in class 9 maths chapter 1 will help the students to distinguish between rational and irrational numbers, where irrational numbers cannot be converted into a ratio and real numbers. Get the NCERT solution solved by our experts to take your preparation to the next level.

NCERT solutions for class 9 maths chapter 1 are designed to assist students in problem-solving effectively and efficiently in preparation for examinations. They also emphasize the formulation of mathematical problems of chapter 1 in a way that is comprehensible to students. The objective of the NCERT solutions for class 9 is to provide students with detailed and sequential answers to all the questions given in the exercises of chapter 1 Number Systems. Download NCERT solutions PDF for Step-by-Step solutions to Practice questions. All class 9 chapter 1 Questions are available in the NCERT solutions pdf. You can download these solutions and practice them offline anytime anywhere.

## Important Topics covered in Chapter 1 - Number Systems

The important topics focussed in chapter 1 Number System are listed below.

 1.1 Introduction 1.2 Irrational Numbers 1.3 Real Numbers and their Decimal Expansions 1.4 Operations on Real Numbers 1.5 Laws of Exponents for Real Numbers

1.1 Introduction - This chapter on Number Systems introduces the fundamental concepts of numbers and their utilization in everyday life. It also defines numbers as natural numbers, whole numbers, integral numbers, rational numbers and irrational numbers. The examples in this chapter help you to identify various numbers, which will help you to recall the concepts in previous classes.

1.2 Irrational Numbers - This entire section is dedicated to the concept of irrational numbers and how to differentiate between rational numbers and irrational numbers. Students have to remember certain points while deciding that it is an Irrational Number which they will get in NCERT solutions for class 9 maths chapter 1. Students will also learn about a group of numbers known as real numbers. At the end of the section, students will have a good knowledge of both irrational and real numbers. They will also be used to find specific square roots of the numbers on the number line.

1.3 Real Numbers and their Decimal Expansions - Here, you will first learn about decimals expansion of real numbers. Then, you would check if you can use the decimal expansion to differentiate between rational numbers and irrational numbers.

1.4 Operations On Real Numbers - In the previous classes, we have learned that rational numbers obey the properties of commutativity, associativity and distributive for any mathematical operation, i.e., when a rational number is added, subtracted, multiplied or divided, it is a rational number. The same is true for irrational numbers.

Real numbers are the set of rational numbers and irrational numbers. So, this is also true for real numbers.

Once you’ve finished this part, you’ll be able to perform operations on both non-terminating and non-recurring decimal expansions using examples. Check out our NCERT solutions for class 9 math chapter 1 for more solved questions on operations on real numbers.

1.5 Law of Exponents for Real Numbers - You are familiar with the exponents and exponents' laws from your previous classes. In this part, we’ll look specifically at the law of exponents on real numbers. For real numbers, the laws of exponents remain the same. You must learn how to transform the square root or cube root of a number into an exponential number.

## NCERT Solutions for Class 9 Maths Chapter 1 Exercises

NCERT solutions for class 9 maths chapter 1“Number Systems,” includes five exercises. Each exercise deals with a particular set of questions, and below is a brief description of each exercise:

 Exercise 1.1 4 Questions & Solutions Exercise 1.2 4 Questions & Solutions Exercise 1.3 9 Questions & Solutions Exercise 1.4 5 Questions & Solutions Exercise 1.5 3 Questions & Solutions

Having a good grasp of number systems not only helps you with math, but it also helps you with problem-solving and critical thinking. NCERT solutions for maths chapter 1 - number systems are a great resource for class 9 students and offer lots of benefits.

1. These NCERT solutions for class 9 chapter 1 maths not only help you study for exams but they're also useful when you're trying to complete tough homework questions.

2. Downloading of NCERT solutions for class 9 maths chapter 1 assists in elucidating these concepts through sequential explanations.

3. Using these solutions on a regular basis improves problem-solving abilities and builds students’ self-esteem.

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Question 1. What are the important topics covered in chapter 1 of NCERT solution for class 9 maths ?

Answer 1. NCERT solutions for class 9 maths chapter 1 covers important topics related to number systems, as mentioned below.

1.  Irrational Numbers

2.  Real Numbers and their Decimal Expansions

3.  Operations on Real Numbers

4.  Laws of Exponents for Real Numbers

Question 2. Why should I download NCERT solutions for class 9 math chapter 1 ?

Answer 2. The eSaral’s experts in maths explain the presentation of each of the solutions in chapter 1 of NCERT solutions for class 9 maths in a distinct manner. The solutions are solved in clear and comprehensible language, which enhances students’ ability to understand them. Practicing NCERT solutions for class 9 maths chapter 1 will help you a lot in achieving good marks. You can use this chapter as a reference point for you to enhance your understanding of concepts and how to solve problems.