NCERT Solutions for Number System Exercise 1.3 Class 9 Maths

NCERT Solutions for Number System Exercise 1.3 Class 9 Maths: NCERT solutions, a source of learning and problem solving for various difficult number system questions. If you are hunting for effective solutions to the Number system Exercise 1.3 class 9 maths NCERT, you have landed on the right post. This article brings the NCERT Solutions for Number System Exercise 1.3 Class 9 Maths from Embibe – Solved exercise to help students learn concepts, questions, formulas, and steps to solve questions in the number system.

Embibe is here with the consolidated solutions of NCERT solutions for Number System Exercise 1.3 Class 9 Maths which will simplify your mathematics learning experience. These NCERT Solutions for Number System Ex 1.3 Class 9 Maths are complete and originally built by the best subject experts at Embibe. Our experts from Embibe have prepared the solutions after a lot of research and hard work. These are exam-oriented question solutions which will assist students in improving their performance to an extent and perform better in their exams.

NCERT Solutions for Number System Exercise 1.3 Class 9 Maths: Overview

This article offers solutions to the questions in Chapter 1 Class 9 Maths Ex 1.3 NCERT book, which will be helpful to students looking for quick concept clarity and practise. But first, let us look at the overview of what students will gain from these NCERT Solutions to Exercise Questions.

NCERT Class 9 Maths NCERT Book Solutions: Download PDFs

NCERT books are a great resource for students preparing for their CBSE Maths Board exams in Class 9. If you have problems with Ex 1.3 Class 9, try our solutions to this exercise that will help you understand the concepts thoroughly. We explain all of the concepts in detail so that you can solve any problem related to the number system yourself!

All NCERT problems pertaining to Exercise 1.3 Class 9 Maths are present in the PDF files provided in this section. These PDFs include clear solutions to CBSE Board test questions on Class 9 Maths Ex 1.3 in the Number System chapter. To start-off, students need to refer to NCERT Solutions For Chapter 1 Maths CBSE Class 9 because it will give them a clear idea of what to expect in the exercise and prepare accordingly.

Embibe’s solutions are created by subject experts who understand the board’s exam pattern and marking scheme. If you have not yet worked through all the questions in Exercise 1.3 of the NCERT Maths book, we highly recommend that you do so using the Embibe Class 9 NCERT Solutions. Embibe subject specialists have prepared a detailed solution for all questions, and you can find them all in the table below.

About NCERT Solutions for Exercise 1.3 Class 9 Maths

Let us talk about the basic number system now, which represents different kinds of numbers like decimal numbers, natural numbers, and so on. You will learn about different kinds of numbers, including binary and fractions, and how to represent them on the number line. You’ll also learn how to do operations with rational and irrational numbers like 10/2, 5√2/3, and 2-√2.

The number system is used to represent information quantitatively. The following are some of the most important types of number systems:

1. Decimal Number System
2. Binary Number System
3. Octal Number System
4. Hexadecimal Number System

NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.3 Solutions: Chapter Description

Let us discuss some pointers on the basics of Number Systems:

1. Natural Numbers:

These are the numbers (1, 2, 3, etc.) that are used for counting.

2. Prime Numbers:

A natural number larger than 1 is a prime number if it does not have other divisors except for itself and 1. (The lowest prime number is 2. 2 is also the only even prime number, and The lowest odd prime number is 3.)

3. Composite Numbers:

It is a natural number with at least one divisor different from unity.

4. Whole Numbers:

Whole numbers are a set of numbers that consists of all natural numbers, and the number zero are known as the whole numbers. Whole numbers are also called Non-negative integers.

5. Even Numbers:

An even number is an integer that can be divided by two and remain an integer or has no remainder.

6. Odd Numbers:

An integer that is not an even number is an odd number.

7. If the numbers n1 and n2 are exactly divisible by the same number x, then x is a common divisor of n1 and n2. The highest of all the common divisors of n1 and n2 is called the GCD or the HCF.

8. Co-prime numbers are any two numbers which have an HCF of 1. (Two consecutive natural numbers are always coprime. Two consecutive odd numbers are always coprime. Two prime numbers are always coprime.)

9. HCF of two or more fractions is given by: HCF of numerators/ LCM of denominators

10. LCM of two or more fractions is given by: LCM of numerators/ HCF of denominators

11. LCM × HCF = Product of two numbers (n1×n2) 

12. N=paqbrc, where p, q and r are prime factors of the number n.

a, b and c are non-negative powers/exponents

Number of factors of N=(a+1)(b+1)(c+1)

Number of odd factors will be all possible combinations of powers of odd numbers (excluding any power of 2)

13. Products:

(i) Odd × Odd = Odd

(ii) Odd × Even = Even

(iii) Even × Even = Even

Also, check what CBSE Class 9 NCERT Maths book Chapter 1 covers in Number System concepts:

• Irrational Numbers
• Real Numbers and Their Decimal Expansions
• Representing Real Numbers on the Number Line
• Operations on Real Numbers
• Laws of Exponents for Real Numbers

Benefits of Studying from NCERT Solutions for Class 9 Maths Ex 1.3

Here are some compelling reasons to choose Embibe’s NCERT solutions for Number System Exercise 1.3 Class 9 Maths:

1. The NCERT solutions are in easy language so that students may understand them without any hassle.

2. The NCERT Solutions provide both basic and advanced concepts of the subject. Studying these solutions help students understand what topics are covered in the exam and also highlights their strong and weak areas of understanding.

3. NCERT solutions provide students with all the guidance they need to address every kind of question on an examination paper. Follow up with supplementary sample papers and mock tests, and you will be well prepared for your exams!

4. If you are preparing for competitive exams like JEE, NEET, CAT, NTSE, etc., the NCERT solutions will be extremely helpful. Not only do they help you pass your board exams, but they can also give you a head start on future competitive exams.

5. There is no need to register on this website as it is completely to access all its contents without having any registration fee or subscription charges at all!

6. The NCERT Solutions for Ex 1.3 Class 9 Maths From Embibe are prepared according to the latest updates in the CBSE syllabus.

7. Embibe’s NCERT solutions cover all the concepts in the CBSE syllabus for the Number System chapter. Our NCERT solutions will help you understand every chapter and concept so you don’t miss out on anything important.

8. You can understand the concepts better by studying from NCERT solutions. It is a guide and an actual study material that will help you analyse your mistakes and fix them.

9. The NCERT Solutions for Ex 1.3 Class 9 Maths From Embibe provide detailed solutions to each question asked in the NCERT textbook by the CBSE board, which helps students understand concepts better and ensure that they do not face any difficulty during their exam preparation. 

10. These NCERT Solutions for Class 9 Maths Ex 1.3 have been prepared by highly qualified teachers who have years of experience in teaching students at this level.

FAQs on NCERT Solutions for Number System Exercise 1.3 Class 9 Maths

Here we are providing some of the most frequently asked questions (FAQs) on NCERT Solutions for Number System Exercise 1.3 Class 9 Maths:

Q.1: What is number system for Class 9?
Ans: The number system is the way of representing numbers on the number line. They are represented by symbols and have a place value. The place value depends on the position of the numbers in relation to each other.

Q.2: How many chapters are there in a number system?
Ans: In the number system chapter in NCERT Class 9 Maths, there are around 5 concept topics that students study:

• Irrational Numbers
• Real Numbers and Their Decimal Expansions
• Representing Real Numbers on the Number Line
• Operations on Real Numbers
• Laws of Exponents for Real Numbers

Q.3: How many total questions are there in exercise 1.3 of class 9 Maths?
Ans: Students will find around nine questions and six examples (around 10 examples) in Class 9 Maths Chapter 1 Exercise 1.3 solutions.

Q.4: Is Class 9 Maths exercise 1.3 important from the exams point of view?
Ans: Yes, this exercise is important from the exam’s point of view. This is a simple exercise, and students must do it in order to score well in their exams. 

Q.5: How many types of number systems are there?
Ans: Students will study the following types of number systems in the NCERT Number System chapter:

1. Decimal Number System
2. Binary Number System
3. Octal Number System
4. Hexadecimal Number System

Q.6: What is prime and composite number?
Ans: A prime number is a natural number larger than 1, given that it does not have other divisors except for itself and 1. A composite number is a natural number with at least one divisor different from unity.

Q.7: What is rational and irrational number?
Ans: Rational numbers are numbers that can be written as a fraction of two integers. Irrational numbers are any real number that cannot be expressed as a ratio of two integers.

Q.8: Are the NCERT Class 9 Maths Chapter 1 Exercise 1.3 solutions easy to understand?
Ans: NCERT Solutions from Embibe are the best and easiest way to learn all the chapters of Mathematics. These solutions are prepared by highly qualified experts who have years of experience in teaching the subjects.

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