## CBSE Class 9 NCERT Solutions Maths Chapter 1 Exercise 1.3

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Q 1: Give an overview of the chapter Number system.

Ans: In this Chapter, you will get to understand about the different types of numbers along with their varied characteristics. The chapter primarily deals with irrational numbers, real numbers and their decimal expansion. It is followed by representing real numbers on the numbers, operating on real numbers, and lastly laws of exponents for real numbers.

You will also be able to learn about rational numbers and irrational numbers with their properties. The chapter also introduces you to:

Classification of expressions into rational or irrational numbers

Simplification of expressions

Number Line representation

Rationalization

Q 2: Give a brief on decimal and decimal classification.

Ans: Decimal is a very interesting and fun part of the Number System. Decimal fractions were first introduced and used by Chinese at the end of the 4^{th} century and then spread to the Middle East and from there to Europe. Decimals are used in our daily life without consciousness. For instance – counting of money, filling fuel into our vehicle or while measuring our weight. Decimals can never be whole numbers. Few examples: 1.8, 000.23 etc.

Decimals classifications: Terminating decimal fractions are 17/4= 4.25, 21/5 = 4.2 and so on.

Non - terminating decimal fractions are 16/3 = 5.33333 , 15.35353535 etc.

Integer: All the numbers that does not have decimals in them are known as integers. Thus, -9, 4, 1476 etc. Do you know? All integers are whole numbers including the negative numbers.

Q 3: What does this chapter mainly focuses on?

Ans: The chapter mainly focuses on different types of numbers. They are:

Complex Number

Imaginary Number

Real Number

Rational Number

Irrational Numbers

Integers

Whole Numbers

Natural Numbers

Natural Numbers - any of the given numbers that are used for counting purpose, starting from one, is considered a natural number.

Whole Numbers - the total union set of all the Natural numbers which includes zero are the set of whole numbers.

Integers - the set of all the whole numbers including their negative terms is called the set of integers.

Rational Numbers - any number which can be written as a ratio of two natural numbers is known as a rational number.

Irrational Numbers - any number which cannot be written in the form of a ratio of two natural numbers is known as an irrational number.

Q 4: How will Vedantu’s NCERT solutions of class 9 maths chapter 1 number system will help us?

Ans: Solutions to the questions are prepared by our science experts as per the latest guidelines provided by the CBSE and NCERT. We have drafted the solutions in a step by step way to make your preparation simple and easy to understand. We have given all the relevant exams and diagrams to the questions with real-life examples.

These solutions are in a systematic way which helps you in building up a strong base of all the concepts. We make sure that all the topics and sub-topics are covered from every chapter and we also have designed these solutions in a way to make your learning process more fun, fascinating and enjoyable.