# NCERT Solutions for Class 9 Maths Chapter 1 Number Systems

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NCERT Solutions for Class 9 Maths Chapter 1 Number Systems-

In the first chapter of CBSE class 9 Maths, we will discuss an important topic the number of systems with their applications. It is one of the important chapters in maths, it has a weightage of 8 marks in the CBSE class 9 final examination. In this chapter, there are 6 exercises with 27 questions. The NCERT Solutions for Class 9 Maths Chapter 1 Number Systems are designed by our subject experts to help students in their preparation of CBSE final examination of class 9 as well as in the various competitive exams like National Talent Search Examination or NTSE, Indian National Olympiad (INO), etc. This NCERT solutions for class 9 are the detailed explanation of each and every question of NCERT textbook.

In NCERT Class 9 Maths Chapter 1 Number Systems we will discuss the extended form of the number line and learn how to represent various types of the number on it.  The Chapter 1 Number Systems of NCERT Class 9 Maths starts with an introduction which includes rational numbers, whole numbers, and integers followed by important topics like irrational numbers, real numbers, how to represent real numbers on the number line, operations on real numbers and many more. With the understanding of rational numbers, we will also study how to represent square roots of 2, 3, 5 and other non-rational numbers.

Important terms and points of Class 9 Maths Chapter 1 Number Systems-

• Rational number - A number that can be written in the form of p/q, where p and q are integers and q≠ 0.
• Irrational number- A number which can’t be expressed in the form of p/q, where p and q are integers and q≠0.
• There are infinitely rational numbers between any two rational numbers.
• Real numbers are the collection of all the rational and irrational numbers.
• The decimal expansion of the rational number is terminating or non-terminating recurring and the decimal expansion of the irrational number is non-terminating non-recurring.
• If $'r'$ is rational and  $'s'$ is irrational, then $r + s$ and $r - s$   are irrational numbers, and $r s$ and $r/s$ are irrational numbers,$r\neq 0$.

## Topics of NCERT Grade 9 Maths Chapter 1 Number Systems-

1.1 Introduction

1.2 Irrational Numbers

1.3 Real Numbers and Their Decimal Expansions

1.4 Representing Real Numbers on the Number Line

1.5 Operations on Real Numbers

1.6 Laws of Exponents for Real Numbers

1.7 Summary

The complete Solutions of NCERT Class 9 Mathematics Chapter 1 is provided below:

## NCERT Solutions for Class 9 Maths - Chapter Wise

 Chapter No. Chapter Name Chapter 2 Polynomials Chapter 3 Coordinate Geometry Chapter 4 Linear Equations In Two Variables Chapter 5 Introduction to Euclid's Geometry Chapter 6 Lines And Angles Chapter 7 Triangles Chapter 8 Quadrilaterals Chapter 9 Areas of Parallelograms and Triangles Chapter 10 Circles Chapter 11 Constructions Chapter 12 Heron’s Formula Chapter 13 Surface Area and Volumes Chapter 14 Statistics Chapter 15 Probability