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NCERT Solutions
Class 8
Maths
Chapter 5 Number Play
Exercise 5.2

NCERT Solutions for Class 8 Maths Chapter 5 Number Play - Exercise 5.2

Mastering the shortcuts to identify factors is simple with our NCERT Solutions for Class 8 Maths Ch 5: Playing with Numbers – Exercise 5.2. This exercise focuses on the "Divisibility Rules" for 3 and 9. By using the generalized form of numbers, you will learn why adding digits tells us if a number is divisible by these specific values.

Class 8 Math Lessons (Ch 5): Learn to Solve Divisibility Puzzles with Ease! The solutions to Exercise 5.2 will be presented in a step-by-step approach to help students find missing digits in large numbers. These solutions are in accordance with the CBSE Guidelines to provide the best path for improving speed in mental calculations. Additionally, these solutions build the foundation for simplifying fractions and finding prime factors efficiently.

1.0Download Class 8 Maths Chapter 5 Number Play Ex 5.2 NCERT Solutions PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.2 are available for download as a PDF. Perfect for offline study and quick reference.

NCERT Solutions Class 8 Maths Chapter 5 Ex 5.2

Download PDF

2.0Key Concepts of Chapter 5 Number Play Exercise 5.2

  • Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
  • Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
  • Generalized Form Proof: Understanding that abc = 100a + 10b + c = 99a + 9b + (a + b + c), which proves why the sum of digits matters.
  • Finding Missing Digits: Solving for an unknown digit x or y when the number is already known to be a multiple of 3 or 9.

3.0NCERT Solutions for Class 8 Maths Chapter 5 Number Play : All Exercises

NCERT Solutions for Class 8 Maths Chapter 5 Number Play - Exercise 5.1

NCERT Solutions for Class 8 Maths Chapter 5 Number Play - Exercise 5.2

NCERT Solutions for Class 8 Maths Chapter 5 Number Play - Exercise 5.3

NCERT Solutions for Class 8 Maths Chapter 5 Number Play - Exercise 5.4

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.2

  • Conceptual Clarity: Explains the logic behind divisibility rules rather than just memorizing them.
  • Problem-Solving Skills: Teaches how to set up simple algebraic equations to find unknown digits.
  • Accuracy: Helps students identify all possible values for a variable, ensuring they don't lose marks for incomplete answers.

NCERT Class 8 Maths Ch. 5 Number Play Other Exercises:-

Exercise 5.1

Exercise 5.2

Exercise 5.3

Exercise 5.4


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

Both rules require you to add the digits of the number. However, for a number to be divisible by 9, the sum must be a multiple of 9. For divisibility by 3, the sum only needs to be a multiple of 3. Note that every number divisible by 9 is also divisible by 3, but not vice versa.

Yes, a missing digit can be 0 unless it is the first digit of the number. For example, in 21y5, y can definitely be 0.

This is because any power of 10 (like 10, 100, 1000) leaves a remainder of 1 when divided by 3 or 9. By expanding the number into its place values, we find that the "leftover" parts are simply the digits themselves.

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