NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.8 Number Play

Exercise 3.8

Question 1. Write an example for each of the below scenarios whenever possible.

Could you find examples for all the cases? If not, think and discuss what could be the reason. Make other such questions and challenge your classmates.
(a) Let’s divide
90, 250 by 2

(b) To get a 6 digit sum by adding 5 digit and 3 digit, the 5 digit number should be more than 99,001.

(c) Let’s take minimum 4 digit number 1000
let’s add them

which is a 4 digit number.
Hence 6 digit sum’ from 4 digit number is impossible.

(d) Let’s take 5 digit numbers 67987 and 65783
let’s add them

which is a 6 digit number.

(e) Let’s take minimum 5 digit numbers 1000
let’s add them

which is a 5 digit number.
Hence 6 digit sum from 5 digit numbers is impossible.

(f) 5-digit -5 digit to

give a difference less than 56,503
< 56503

(g) 5-digit-3 digit = 1 008 6 (5 digit) to give a 4 digit = + 875 (3 digit)
difference = 92 11 (4 digit)

(h) 5-digit digit = 1 2 8 7 6 (5 digit) to give a 4 digit = -7865 (4 digit)
difference = 5 0 11 (4 digit)

(i) 5-digit -5 digit 7 = 645 3 (5 digit) to give a 3 digit = 76 145 (5 digit)
difference = 308 (3 digit)

(j) 5-digit -5 digit 

Not possible to give 91,500

Question 2. Always, Sometimes, Never?
Below are some statements. Think, explore and find out if each of the statement is ‘Always true’, ‘Only sometimes true’ or ‘Never true’. Why do you think so? Write your reasoning; discuss this with the class.
(a) 5-digit number + 5-digit number gives a 5-digit number
(b) 4-digit number + 2-digit number gives a 4-digit number
(c) 4-digit number + 2-digit number gives a 6-digit number
(d) 5-digit number – 5-digit number gives a 5-digit number
(e) 5-digit number – 2-digit number gives a 3-digit number
Solution:

Benefits of NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.8

• Enhances problem-solving speed through mental math exercises.

• Develops a strong foundation in number theory.

• Improves understanding of number properties such as divisibility and multiples.

• Strengthens logical reasoning by exploring number patterns and sequences.

• Prepares students for advanced topics in mathematics.

• Encourages independent thinking and mental calculations.

Class 6 Maths Chapter 3: Exercises Breakdown

Important Study Material Links for Maths Chapter 3 Class 6

Conclusion

Chapter 3: Number Play is an essential part of the Class 6 Maths curriculum that fosters an understanding of numbers and their properties. Exercise 3.8, focused on Mental Math, plays a key role in boosting mental agility and calculation speed. By mastering this chapter, students can improve their mathematical fluency and problem-solving skills, which will benefit them in both academic and real-life situations.

Chapter-wise NCERT Solutions Class 6 Maths

After familiarising yourself with the Class 6 Maths  Chapters Question Answers, you can access comprehensive NCERT Solutions from all Class 6 Maths textbook chapters.

Related Important Links for Class 6  Maths 

Along with this, students can also download additional study materials provided by Vedantu for Maths  Class 6-