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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.

Through the Class 8 NCERT Solutions for these chapters, learn to Plot and Compare Rational Numbers with Ease! The solutions to Exercise 1.2 are 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 NCERT Class 8 Maths Chapter 1 Ex 1.2 Solutions : Free PDF

You can download our simple NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.2 as a PDF. These solutions are prepared by ALLEN experts and are ideal for revision during the exam preparation.

Class 8 Maths Chapter 1 Ex 1.2 : Representing Rational Numbers

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Key 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.

2.0NCERT Solutions for Class 8 Maths Chapter 1 A Square and a Cube : All Exercises

Chapter 1 A Square and a Cube - Exercise 1.1

Chapter 1 A Square and a Cube - Exercise 1.2

3.0Key Features and Benefits of NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.2

  • Clear Conceptual Explanation of Number Placement: The solutions explain how numbers exist between any two given values, helping learners understand the infinite nature of the number line in a simple and structured way.
  • Step-by-Step Logical Methodology: Each solution follows a systematic approach, guiding learners through efficient techniques like using common denominators instead of lengthy calculations.
  • Improved Accuracy in Representation: Emphasis is placed on precise placement of numbers on the number line, ensuring mathematical correctness and clarity in answers.
  • Time-Saving Problem-Solving Techniques: The methods used help reduce unnecessary steps, allowing learners to solve questions faster and more efficiently.
  • Error Reduction Through Structured Solutions: Clear and organised explanations minimise confusion and help avoid common mistakes while working with fractions and intervals.
  • Strengthens Analytical Thinking: Encourages learners to think logically about number relationships and apply the most effective strategy to solve problems.
  • Builds a Strong Mathematical Foundation: Develops essential skills that are crucial for advanced topics like rational numbers, algebra, and coordinate geometry.

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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