Rational Numbers NCERT Extra Questions for Class 8 Maths

Rational Numbers NCERT Extra Questions for Class 8 Maths are prepared by askIITians Maths experts to strengthen your exam preparation. Many students consider Rational Numbers an easy chapter. They assume that practising the NCERT exercise questions is enough for exam preparation. But, if you want to score full marks in this chapter, you must practice some extra questions and ensure that you can handle any question related to rational numbers and their properties. 

 

You can download the NCERT Extra Questions for Class 8 Maths Rational Numbers for free from the askIITians website. These extra questions are based on topics like Natural Numbers, Whole Numbers, Positive and Negative Numbers, Rational Numbers, Properties of Rational Numbers, Representing Rational Numbers on a Number Line, and Rational Numbers between Two Rational Numbers. They are based on the latest CBSE syllabus and exam pattern for Class 8 Maths. 

About NCERT Class 8 Maths Extra Questions for Rational Numbers 

 

The best strategy to utilise the extra questions for rational numbers is that first, you must understand the concepts included in the chapter. Then, you must practice all the NCERT exercises and solidify your conceptual understanding. Then, test yourself by practising our NCERT extra questions for Class 8 Maths Rational Numbers. 

 

You must ensure that you have a complete understanding of the following topics before you start solving askIITians NCERT Rational Numbers extra questions:

 

Rational Numbers: Any number that can be expressed as p/q where p and q are integers and q≠ 0, is called a rational number. For example, ⅖, ¾, 12/17, 6/19, etc are rational numbers.  

 

Important Properties of Rational Numbers:

• Closure Property
  • For any two rational numbers a and b, a + b is also a rational number. In other words, rational numbers are closed under addition.
  • For any two rational numbers a and b, a - b is also a rational number. This means that rational numbers are closed under subtraction. 
  • For any two rational numbers a and b, a X b is also a rational number. In other words, rational numbers are closed under multiplication.
  • For any two rational numbers a and b, ab might not be a rational number. This means rational numbers are not closed under division.

• Commutative Property: 
  • Addition is commutative for rational numbers. 
  • Subtraction is not commutative for rational numbers. 
  • Multiplication is commutative for rational numbers. 
  • Division is not commutative for rational numbers. 
• Associative Property:
  • Addition is associative for rational numbers. 
  • Subtraction is not associative for rational numbers. 
  • Multiplication is associative for rational numbers. 
  • Division is not associative for rational numbers. 
• Additive Inverse:
  • The additive inverse of the rational number a/b is -a/b and vice-versa. 
  • 0 is the additive identity for rational numbers. 
  • 1 is the multiplicative identity for rational numbers. 
• Multiplicative Inverse: 
  • The multiplicative inverse of rational number ab is cd, if ab X cd = 1
• Distributive Property: 
  • Rational numbers follow the distributive property. 
  • a(b + c) = ab + ac and a(b – c) = ab – ac, where a, b, and c are rational numbers. 
• Finding rational numbers between two rational numbers: 
  • We can find rational numbers between two rational numbers by first converting them to the same denominators or by finding their mean. 

Download NCERT Class 8 Maths Chapter 1 Rational Numbers Extra Questions with Solutions 

Yes, you do not only get free extra questions for Rational Numbers but also their stepwise solutions from our experts. This will help you resolve any doubts or confusion that you may have while solving the extra questions. In your class 8 Maths exam, you can be asked short answer questions, long answer questions, and higher-order thinking questions related to rational numbers and our extra questions prepare you for that. Here are some other important features of our Rational Numbers NCERT Extra Questions for Class 8 Maths:

• These NCERT Extra Questions are based on the latest CBSE exam pattern and syllabus. 
• We have based the extra questions according to previous year Class 8 Maths questions. 
• Our subject experts who have years of teaching experience to Class 8 students have created these extra questions. 
• They encourage independent learning. This means you can refer to these extra questions at any time and your convenience. 

askIITians not only provides NCERT extra questions for Class 8 Maths Rational Numbers but also a plethora of free study resources. These include mind maps and flashcards for conceptual learning and daily practice worksheets and sample papers for improving problem-solving skills. We also provide regular, live, interactive online classes for Grade 8 students where one can learn from our experts directly and solve your doubts related to rational numbers. 

NCERT Class 8 Maths Chapter 1 Rational Numbers Extra Questions FAQs

1. Where can I get NCERT Solutions for Class 8 Maths, Rational Numbers?

You can find free NCERT Solutions for Class 8 Maths Rational Numbers on the askIITians website. Our Maths experts have created stepwise solutions for every NCERT exercise question of Rational Numbers. 

 

2. Why are NCERT extra questions for Class 8 Maths Rational Numbers important for students? 

NCERT extra questions for Class 8 Maths Rational Numbers help students prepare for their exams thoroughly. With these extra questions, you can easily practice the main concepts of the chapter like commutative property, closure property, associative property, the multiplicative inverse of rational numbers for your final examination. 

 

3. What are the main topics included in NCERT extra questions for Class 8 Maths Rational Numbers?

The main topics included in NCERT Rational Numbers extra questions are properties of rational numbers, representing rational numbers on a number line, and finding rational numbers between two rational numbers.