Class 6 Maths NCERT Solutions for Chapter 3 Exercise 3.6 Maths FREE PDF Download
Chapter 3 Number Play of Class 6 Maths introduces students to the fascinating world of numbers through various concepts like prime numbers, divisibility, factors, multiples, and magic numbers. Exercise 3.6 focuses on the Magic Number of Kaprekar, a unique mathematical discovery by the Indian mathematician D. R. Kaprekar. This exercise helps students explore how specific numbers can behave in interesting ways and strengthens their understanding of number operations and patterns.
- 3.1Exercise 3.6
- 3.2(Practise Questions)
Our Class 6 Maths NCERT Solutions PDF breaks the lesson into easy-to-understand explanations, making learning fun and interactive. Students will develop essential language skills with engaging activities and exercises. Check out the revised CBSE Class 6 Maths Syllabus and start practising the Maths Class 6 Chapter 3.
Glance on Class 6 Chapter 3 Exercise 3.6 The Magic Number of Kaprekar
Introduction to Kaprekar's Magic Number (6174).
Understanding how subtracting a number from its reverse leads to the magic number.
Exploration of digit manipulation and their properties.
Mental calculations and number puzzles.
Prime numbers, composite numbers, and their uses in number play.
FAQs on NCERT Solutions for Class 6 Maths Chapter 3 Number Play Ex 3.6
1. What is Kaprekar's Magic Number mentioned in Chapter 3: Number Play?
Kaprekar's Magic Number is 6174, which is reached by subtracting a number from its reverse repeatedly until the result is 6174.
2. How do you find the Magic Number of Kaprekar as explained in Exercise 3.6?
To find the magic number, rearrange the digits of a four-digit number in descending and ascending order, subtract the smaller from the larger, and repeat the process until you reach 6174.
3. What makes the number 6174 special in mathematics?
The number 6174 is special because, after a few iterations of subtracting the digits in a certain way, all four-digit numbers (excluding a few exceptions) will eventually reach 6174.
4. Why is Kaprekar's constant referred to as a 'magic number'?
It is called a magic number because, no matter what four-digit number (with at least two different digits) you start with, you will always reach 6174 after a few steps.
5. How many steps does it take to reach 6174 from any four-digit number?
It usually takes between 1 to 7 steps to reach 6174 from any four-digit number that follows the Kaprekar process.
6. Is 6174 the only magic number in mathematics?
No, there are other interesting numbers in mathematics with unique properties, but 6174 is particularly famous due to its simple yet fascinating iterative process.
7. What happens if all the digits of the number are the same, like 1111?
If all digits of a number are the same, Kaprekar's process results in zero, which is not applicable for reaching 6174.
8. What is the significance of digit manipulation in Kaprekar's process?
Digit manipulation helps explore patterns and properties of numbers, teaching students about mathematical operations and reasoning.
9. How does this exercise 3.6 help in improving problem-solving skills?
This exercise encourages students to think logically, perform iterative calculations, and recognize number patterns, all of which are essential for improving problem-solving skills.
10. Why is it important to learn about the Magic Number of Kaprekar in Class 6?
Learning about the magic number introduces students to mathematical patterns, logical reasoning, and unique properties of numbers, making maths more interesting and engaging.
