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NCERT Solutions
Class 8
Maths
Chapter 1 A Square And A Cube
Exercise 1.2

NCERT Class 8 Maths Chapter 1 : Exercise 1.2 Solutions - Representing Rational Numbers

Mastering the visualization of numbers is simple with our NCERT Solutions for Class 8 Maths Ch 1: A Square and a Cube – Exercise 1.2. (Note: In standard NCERT, Chapter 1 is "Rational Numbers"). This exercise focuses on two critical skills: representing rational numbers on a number line and finding rational numbers between two given rational numbers.

Class 8 Math Lessons (Ch 1): Learn to Plot and Compare Rational Numbers with Ease! The solutions to Exercise 1.2 will be presented in a step-by-step approach to help students understand how to divide the space between integers into equal parts based on the denominator. These solutions follow CBSE Guidelines to help you improve your precision in geometry and number theory.

1.0Download Class 8 Maths Chapter 1 Ex 1.2 NCERT Solutions PDF

You can download our simple NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.2 as a PDF. Ideal for rapid reference and offline study.

NCERT Solutions Class 8 Maths Chapter 1 Ex 1.2

Download PDF

2.0Key Concepts of Chapter 1 Exercise 1.2

  • Representation on Number Line: To represent a rational number a/b, we divide the distance between two consecutive integers into b equal parts.
  • Rational Numbers between two Rational Numbers: There are countless (infinite) rational numbers between any two given rational numbers.
  • The Mean Method: One way to find a rational number between a and b is to find their average: (a+b)/2.
  • The Common Denominator Method: A faster way to find multiple rational numbers by making the denominators the same and then expanding the numerators.

3.0NCERT Solutions for Class 8 Maths Chapter 1 A Square and a Cube : All Exercises

NCERT Solutions for Class 8 Maths Chapter 1 A Square and a Cube - Exercise 1.1

NCERT Solutions for Class 8 Maths Chapter 1 A Square and a Cube - Exercise 1.2

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.2

  • Conceptual Clarity: Helps students visualize that the "gap" between numbers can be subdivided infinitely.
  • Logical Structuring: Teaches the efficient "Common Denominator" approach over the tedious mean method for large sets.
  • Accuracy: Ensures that the subdivisions on the number line are mathematically precise.

NCERT Class 8 Maths Ch. 1 A Square and A Cube Other Exercises:-

Exercise 1.1

Exercise 1.2


NCERT Solutions Class 8 Maths All Chapters:-

Chapter 1 - A Square and a Cube

Chapter 2 - Power play

Chapter 3 - A story of Numbers

Chapter 4 - Quadrilaterals

Chapter 5 - Number Play

Chapter 6 - We distibute, yet thinmgs multiply

Chapter 7 - Proportional Reasoning

Frequently Asked Questions

There are infinitely many rational numbers between any two integers or any two rational numbers. You can always find another one by dividing the interval further.

Always look at the denominator. If the denominator is 8, divide the space between each integer into 8 equal parts.

All fractions are rational numbers, but rational numbers also include negative values and integers (like -5, which can be written as -5/1), whereas we usually think of fractions as positive parts of a whole.

The process is exactly the same, but you move to the left of zero on the number line.

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