NCERT Solutions for Class 8 Maths Rational Numbers

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers help you solidify all your concepts about rational numbers and their properties. Every student must practice the NCERT exercises if they want to achieve full marks in the Maths exam. Almost all the questions of CBSE Class 8 Maths final exam are based on NCERT exercises. Not only this, NCERT exercises help strengthen your fundamental concepts of every topic so that you can handle advanced level questions with confidence.

 

askIITians Maths faculty has created step by step Maths NCERT Solutions for Class 8 Chapter 1 Rational Numbers. You can refer to these solutions at any time and resolve your doubts. These solutions are self-explanatory and help you study at your own pace. Above all, they cost you nothing! You can download our NCERT Solutions for Class 8 Maths Rational Numbers for free from the askIITians website.

Download NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers

NCERT Class 8 Maths Chapter 1 Rational Numbers is based on the following topics:

• Natural Numbers
• Whole Numbers
• Positive and Negative Numbers
• Rational Numbers
• Properties of Rational Numbers
• Representing Rational Numbers on a Number Line
• Rational Numbers between Two Rational Numbers

 

You must take note of the following important points about this chapter before you start solving its exercises:

• Natural Numbers: Counting numbers starting from 1 are natural numbers, that is, {1, 2, 3, 4, 5, 6, …}
• Whole Numbers: Natural numbers together with 0 are whole numbers, that is, {0, 1, 2, 3, 4, 5, 6, …}
• Integers: The whole numbers and the negatives of whole numbers are integers, that is, {..., -3, -2, -1, 0, 1, 2, 3, 4, …}
• 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.
• Examples of rational numbers: ⅖, 6/19, ½, etc.
• Properties of Rational Numbers:
  • Rational numbers are closed under addition. For any two rational numbers a and b, a + b is also a rational number.
  • Rational numbers are closed under subtraction. That is, for any two rational numbers a and b, a - b is also a rational number.
  • Rational numbers are closed under multiplication. That is, for any two rational numbers a and b, a X b is also a rational number.
  • Rational numbers are not closed under division. This means, for any two rational numbers a and b, ab might not be a rational number.

• 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

• 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.
• 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 Solution

NCERT Class 8 Maths Chapter 1 Rational Numbers Solutions include stepwise answers to all the 2 exercises of the chapter. The first exercise is based on what are rational numbers and their properties like closure, commutativity, associativity, negative of a number, reciprocal, and distributivity. The second exercise is based on the understanding of the representation of a rational number on a number line, and rational numbers between two rational numbers.

The best way to master these two exercises is by practising them after regular intervals. You must keep revising the properties of rational numbers. This way you will never forget how to solve questions in the examination. If you get stuck at any point our NCERT free Solutions are here for you. You can download them from the links given below:

NCERT Solutions for Class 8 Maths Chapter 1 Ex 1.1 - 11 Questions

NCERT Solutions for Class 8 Maths Chapter 1 Ex 1.2 - 7 Questions

NCERT Class 8 Maths Chapter 1 Rational Numbers Solutions FAQs

 

1. Why are NCERT Class 8 Maths Chapter 1 Rational Numbers Solutions important?

NCERT Solutions by askIITians for Class 8 Maths Rational Numbers help students in exam preparation. They are self-explanatory and include stepwise solutions for every NCERT question. They can help you solidify your understanding of rational numbers and their properties.

 

2. How should I prepare the Rational Numbers Chapter in Class 8?

Read the revision notes prepared by askIITians experts and brush up on all your concepts about rational numbers. Practice the solved examples given in the chapter and see how to approach a question. Practice the unsolved problems given in the NCERT exercises. Take the help of our NCERT Solutions in case you have any doubt.

 

3. How can askIITians help in preparing Chapter 1 Rational Numbers in Class 8?

askIITians experts have provided NCERT Solutions for Rational Numbers for your practice. We also provide revision notes, worksheets, practice exercises, mind maps and flashcards to solidify your conceptual understanding of rational numbers. You can also enrol in our live, online CBSE classes and study directly from our experts.