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NCERT Solutions
Class 8
Maths
Chapter 5 Number Play
Exercise 5.4

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

Mastering complex numerical puzzles is simple with our NCERT Solutions for Class 8 Maths Ch 5: Playing with Numbers – Exercise 5.4. This exercise takes the basic rules of arithmetic and applies them to multi-step multiplication puzzles where multiple letters (A, B, C) are used. You will learn how to use logical elimination and unit-digit properties to solve "Cryptarithms."

Class 8 Math Lessons (Ch 5): Learn to Solve Complex Digit Puzzles with Ease! The solutions to Exercise 5.4 will be presented in a step-by-step approach to help students decode multiplication grids. These solutions are in accordance with the CBSE Guidelines to improve analytical reasoning. Additionally, these solutions build the foundation for decoding and logic-based problem solving in competitive exams like the IMO or NTSE.

1.0Download NCERT Solutions Class 8 Maths Chapter 5 Number Play Ex 5.4 : Free PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.4 are available for download as a PDF. Perfect for offline study and quick reference.

NCERT Solutions Class 8 Maths Chapter 5 Ex 5.4

Download PDF

2.0Key Concepts of Chapter 5 Exercise 5.4

  • Multiplication Cryptarithms: Solving puzzles where A x B = CA or similar patterns.
  • Unique Digit Rule: In any single puzzle, a specific letter must represent the same digit throughout the calculation.
  • Carry-over Logic in Multiplication: Understanding how the tens-place digit from a product affects the next column's addition.
  • Number Patterns: Exploring the properties of numbers like "repunits" (numbers consisting only of the digit 1, like 11, 111, 1111).

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 5.4

  • Conceptual Clarity: Demonstrates how to logically narrow down 10 possible digits to the correct one.
  • Strategic Thinking: Teaches students to start with the "constraint" (the digit that repeats the most).
  • Accuracy: Shows the importance of the final verification step to ensure no rules were broken.

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

Always start with the units place. Look for a letter that, when multiplied, returns itself (like 5 x 3 ends in 5 or 6 x 4 ends in 4). This significantly reduces the number of digits you need to test.

No. In cryptarithms, different letters must represent different digits. If the puzzle uses two different letters, they must stand for two different numbers.

Because it treats mathematics like a game of logic and deduction. Instead of just following a formula, you are looking for clues and patterns to solve a mystery.

You must treat the carry-over exactly like you do in normal multiplication. If B x 3 = 15, you write down the 5 and carry over the 1 to the next column to be added after the next multiplication step.

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