# NCERT Solutions Class 9 Maths Chapter 1 Number Systems

NCERT solutions for class 9 maths chapter 1 number systems consists of an introduction about the number system and the different kinds of numbers in it. The number system has been classified into different types of numbers like natural numbers, whole numbers, integers, rational numbers, irrational numbers, etc. The NCERT solutions class 9 maths chapter 1 covers all the basics of the number system which will be helpful in forming the basic foundation of mathematics.

Class 9 maths chapter 1 number systems will help the students in differentiating between rational and irrational numbers, wherein irrational numbers cannot be expressed in the form of a ratio, and also about real numbers. Class 9 maths NCERT solutions chapter 1 number systems sample exercises can be downloaded from the links below and also you can find some of these in the exercises given below.

- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.1
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.2
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.3
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.4
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.5
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.6

## NCERT Solutions for Class 9 Maths Chapter 1 PDF

These NCERT solutions for class 9 maths involving the important concepts of real numbers, rational and irrational numbers, are available for free pdf download. The questions involving real numbers and their decimal form, the law of exponents are given below:

**ā** Download Class 9 Maths NCERT Solutions Chapter 1 Number Systems

**NCERT Class 9 Maths Chapter 1 **

### NCERT Solutions for Class 9 Maths Chapter 1 Number Systems

It is advisable for the students to practice the questions in the above links as this will give them better clarity on the kind of numbers and their properties. An exercise-wise detailed analysis of **NCERT Solutions Class 9 Maths Chapter 1 number systems** is given below for reference.

- Class 9 Maths Chapter 1 Ex 1.1 - 4 Questions
- Class 9 Maths Chapter 1 Ex 1.2 - 4 Questions
- Class 9 Maths Chapter 1 Ex 1.3 - 9 Questions
- Class 9 Maths Chapter 1 Ex 1.4 - 2 Questions
- Class 9 Maths Chapter 1 Ex 1.5 - 5 Questions
- Class 9 Maths Chapter 1 Ex 1.6 - 11 Questions

ā Download Class 9 Maths Chapter 1 NCERT Book

**Topics Covered:** The important topics focussed upon are irrational numbers, real numbers, and real numbers when expanded in the decimal form. The class 9 maths NCERT solutions chapter 1 covers the representation of real numbers on a number line, methods to perform operations on real numbers, and laws of exponents when dealing with real numbers.

**Total Questions:** Class 9 maths chapter 1 Number Systems consists of total 35 questions of which 30 are easy, 2 are moderate and 3 are long answer-type questions.

## List of Formulas in NCERT Solutions Class 9 Maths Chapter 1

NCERT solutions class 9 maths chapter 1 covers important facts about the number systems which will help strengthen the math foundation. Like if a number ‘a’ is rational, and ‘b’ represents an irrational number, then ‘a+b’, and ‘a-b’ are irrational numbers, and ‘ab’ and ‘a/b’ are supposed to be irrational numbers, and ‘b’ is not equal to zero. For ‘a’ and ‘b’ positive real numbers the following formula or entities will be true:

- √ab = √a √b
- √(a/b) = √a / √b

## Important Questions for Class 9 Maths NCERT Solutions Chapter 1

CBSE Important Questions for Class 9 Maths Chapter 1 Exercise 1.1 |
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CBSE Important Questions for Class 9 Maths Chapter 1 Exercise 1.2 |
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CBSE Important Questions for Class 9 Maths Chapter 1 Exercise 1.3 |
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CBSE Important Questions for Class 9 Maths Chapter 1 Exercise 1.4 |
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CBSE Important Questions for Class 9 Maths Chapter 1 Exercise 1.5 |
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CBSE Important Questions for Class 9 Maths Chapter 1 Exercise 1.6 |
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### Video Solutions for Class 9 Maths NCERT Chapter 1

## FAQs on NCERT Solutions Class 9 Maths Chapter 1

### Do I Need to Practice all Questions Provided in NCERT Solutions Class 9 Maths Number Systems?

Practicing the NCERT solutions class 9 maths number systems and exercises on real numbers, rational numbers will help in exploring the number systems in a better way. The NCERT Solutions Class 9 Maths Number Systems will also provide a good insight into the solving of problems.

### Why are Class 9 Maths NCERT Solutions Chapter 1 Important?

Since the number systems chapter deals with rational and irrational numbers, real numbers, and their expansion, their decimal form, also covering the law of exponents. Hence, this makes the NCERT solutions class 9 maths important for examinations.

### What are the Important Formulas in NCERT Solutions Class 9 Maths Chapter 1?

There are several formulas or entities for positive real numbers which will be helpful in learning mathematics even for higher grades. Like if one wants to rationalize the denominator of 1/ ( √a + b ), then we can multiply and divide by its algebraic conjugate which is √a - b

### How Many Questions are there in NCERT Solutions Class 9 Maths Chapter 1 Real Numbers?

The questions in the NCERT Solutions Class 9 Maths Chapter 1 are a great way for learning real numbers. There are around 35 questions dealing with number systems with 25 of them being simple and have straightforward logic, 6 of them are with medium complexity and 4 are elaborative questions.

### What are the Important Topics Covered in NCERT Solutions Class 9 Maths Chapter 1?

The NCERT Solutions Class 9 Maths Chapter 1 deal with integers, real numbers, rational and irrational numbers. Apart from these the important topics covered are the real numbers, and what happens when they are expanded in decimal form, the law of exponents in the case of real numbers, how to differentiate between rational and irrational numbers etc.

### How CBSE Students can utilize NCERT Solutions Class 9 Maths Chapter 1 effectively?

The students should first practice all the examples to understand the logic and problem solving technique and should try to solve all the exercise questions. The CBSE itself recommends the NCERT Solutions Class 9 Maths for the board exam studies.