Number System NCERT Extra Questions for Class 9 Maths

Number System NCERT Extra Questions for Class 9 Maths include important questions from the exam perspective for your practice. Students often consider the Number System an easy chapter and neglect it. But, due to lack of practice, they make silly mistakes and lose marks unnecessarily in their exams. This is why askIITians experts created extra questions for NCERT Class 9 Maths Chapter 1 Number System. 

Our NCERT extra questions and solutions are available for free on our website. You can download them in just one click and start practising right away. These extra questions will enhance your conceptual understanding of the Number System chapter and prepare you for the final exam thoroughly. We have based these questions on the latest syllabus for Class 9 Maths by CBSE and have provided step by step solutions for every NCERT extra question. 

About Number System NCERT Extra Questions for Class 9 Maths

Number Systems is a fundamental chapter that teaches you about: 

• rational numbers, 
• irrational numbers, 
• the decimal expansion of a rational number, 
• the decimal expansion of an irrational number, 
• identities related to positive real numbers, and  
• laws of exponents for real numbers. 

There are 6 exercises in this chapter and around 35 questions. 

• Exercise 1.1 is based on identifying rational numbers. 
• Exercise 1.2 is based on irrational numbers and the number line.
• Exercise 1.3 is based on real numbers and their decimal expansion. 
• Exercise 1.4 is based on representing real numbers on the number line. 
• Exercise 1.5 is based on operations on real numbers. 
• Exercise 1.6 is based on the laws of exponents of real numbers. 

Our NCERT extra questions for this chapter are based on the given exercises only. We have included a plethora of questions to help you practice every concept of the chapter in-depth. They are a combination of long answer types, short answer types, and very short answer type questions. 

Some important points for Class 9 Maths NCERT Chapter 1 Number System extra questions include:

• A rational number is one that can be written in the form p/q, where p and q are integers and q ≠ 0.
• An irrational number is one that can be written in the form p/q, where p and q are integers and q ≠ 0.
• A number whose decimal expansion is terminating or non-terminating is rational.
• A number whose decimal expansion is non-terminating non-recurring is irrational.
• Real numbers are the collection of all rational and irrational numbers. 

Important identities for Chapter 1 Number Systems for Class 9 Maths:

• √ab = √a√b
• √ab = √a√b
• (√a+√b) (√a-√b) = a – b
• (a+√b)(a−√b) = a²−b
• (√a+√b)(√c+√d) = √ac+√ad+√bc+√bd
• (√a+√b)(√c−√d) = √ac−√ad+√bc−√bd
• (√a+√b)2 = a+2√(ab)+b

Here ‘a’, ‘b’ and ‘c’ are any real numbers. 

Laws of Exponents for Real Numbers: 

• am × an = am+n
•  am/ an = am-n, m > n.
• (am)n = amn
• (am × bm) = (a × b)m
• a m b m = ( a b )m
• a0 = 1
• a-n = 1 /an

Here ‘a’ and ‘b’ are any real numbers and ‘m’ and ‘n’ are rational numbers. 

Features of Number System NCERT Extra Questions for Class 9 Maths

• The extra questions for NCERT Class 9 Maths Number System are available for free of cost on the askIITians website. 
• You can download the extra questions and their solutions and refer to them at any time you want. 
• You no more have to waste time looking for practice questions on the internet. You can easily prepare for your exam using our extra questions and NCERT Solutions. 
• Our qualified Maths experts have created and solved these questions for you. They are based on the current CBSE exam pattern. 
• You can easily learn how to apply your knowledge about Number Systems in solving complex problems for competitive exams and olympiads. 

Develop confidence for the Maths exam and never fear Maths again with askIITians. Download our extra questions for NCERT Class 9 Maths Chapter 1 Number System today! 

Number System NCERT Extra Questions for Class 9 Maths FAQs

1. How many questions are there in the NCERT Class 9 Maths Chapter 1 Number System? 

There are 6 exercises in NCERT Class 9 Maths Chapter 1 Number Systems and around 30 questions. Exercise 1.1 includes 4 questions. Exercise 1.2 includes 4 questions. Exercise 1.3 includes 9 questions. Exercise 1.4 includes 2 questions. Exercise 1.5 includes 5 questions and exercise 1.6 has 11 questions. 

2. Can I receive some additional study resources for the Number System? 

Yes, you can find free revision notes, sample papers, daily practice tests, worksheets, flashcards, mind maps, and important previous year questions for NCERT Number Systems at askIITians. You can enrol in our online live classes for Class 9 Maths and study from our expert teachers. We guarantee you a successful learning experience. 

3. How can I utilise the NCERT extra questions for Class 9 Maths Chapter 1 Number System? 

We recommend that you must first read the concepts given in the chapter and practice the solved examples. Then, you should solve each exercise one by one. You can also take the help of our online NCERT solutions. Then, at last, you must practice some extra questions to test whether you have understood the concepts thoroughly.