Sainik School Class 6 Number System

Understanding the Number System: Natural Numbers and Whole Numbers

The number system is one of the foundational concepts in mathematics, serving as the basis for many other mathematical operations and ideas. Among the various types of numbers, natural numbers and whole numbers are some of the first that students encounter in their mathematical journey. Let’s explore these concepts in detail, especially as they pertain to the education provided at Sainik Schools. In this post, we discuss the Sainik School Class 6 Number System, a very important topic for students preparing for the Sainik School entrance exams.

Natural Numbers

Natural numbers are the simplest and most basic set of numbers that we use in our day-to-day life. They are the numbers that we naturally use for counting objects. For example, when counting apples, books, or students, we use natural numbers.

Definition:
Natural numbers are all positive integers starting from 1.
Examples:
1, 2, 3, 4, 5, 6, …

Natural numbers are infinite, meaning they go on forever without any end. They do not include zero or any negative numbers. In mathematical terms, we often denote the set of natural numbers by the symbol N.

Key Points:

Positive: Natural numbers are always positive.
No Zero: The set does not include zero.
No Fractions/Decimals: Natural numbers do not include fractions or decimals.

Whole Numbers

Whole numbers build on the concept of natural numbers by including zero. They still do not include any fractions, decimals, or negative numbers, but the inclusion of zero is what distinguishes whole numbers from natural numbers.

Definition:
Whole numbers are all natural numbers including zero.
Examples:
0, 1, 2, 3, 4, 5, 6, …

The set of whole numbers is also infinite and is denoted by the symbol W.

Key Points:

Includes Zero: Whole numbers include zero, which is not a natural number.
No Negative Numbers: Whole numbers do not include any negative values.
No Fractions/Decimals: Similar to natural numbers, whole numbers do not include fractions or decimals.

Relationship Between Natural Numbers and Whole Numbers

Every natural number is a whole number, but not every whole number is a natural number.
The number zero is the only whole number that is not a natural number.
Mathematically, this relationship can be represented as:
N ⊂ W
This means that the set of natural numbers (N) is a subset of the set of whole numbers (W).

Important Questions Related to Number System

Ques 1: Which of the following is the greatest three-digit number that is divisible by 8?

a) 995

b) 996

c) 998

d) 992

Answer – d (992)

Solution: The greatest three-digit number=999
When 999 is divided by 8, the Remainder is 7, so that number is 999-7=992

Ques 2: Find the number out of 81, 231, 406, and 222 which is not divisible by 3.

a) 81

b) 231

c) 222

d) 406

Answer – d (406)

Solution: Divisibility rule for 3
If the sum of digits of a number is divisible by 3 then that number is divisible by 3
(a) 8+1=9
(b) 2+3+1=6
(c) 2+2+2=6
(d) 4+0+6=10
9 and 6 are completely divisible by 3 but 10 is not completely divisible by 3

Ques 3: What least number should be added to 174 so that the resulting number is divisible by 15?

a) 6

b) 5

c) 4

d) 3

Answer – a (6)

Solution:

Required Number= 174 + (15 – 9)
= 174 +6 =180

For more such questions on Sainik School class 6 Number System, download Shaurya Bharat app now: https://play.google.com/store/apps/details?id=com.shauryabharat

Conclusion

Natural numbers and whole numbers are the building blocks of mathematics. A solid grasp of these concepts is vital for students preparing for the Sainik School exam. As students progress in their studies, they will find that these basic numbers form the foundation for more advanced topics, including algebra, geometry, and beyond. Understanding the difference and the relationship between natural numbers and whole numbers is the first step in becoming proficient in mathematics.

How to crack the AISSEE 2025 and RMS CET 2024 examinations?

Entrance examinations for Rashtriya Military School and Sainik School will take place in December 2024 and January 2025 respectively for academic session 2025-26. The best idea to start preparation is to start early so that students get sufficient time to prepare and polish themselves. The Sainik School and RMS Entrance Exams are a tough nut to crack. The standards and competition are way higher than one could think. Getting admission into Sainik School and RMS is the dream of thousands of young children. However, only a few can turn this dream into reality.

To succeed in this competitive environment, candidates need to prepare thoroughly, maintain a disciplined study routine, and focus on developing a strong foundation in the relevant subjects. Regular practice, solving sample papers, and mock tests can help in building confidence and improving performance. Maintaining physical fitness and participating in extracurricular activities can enhance overall candidacy.

It is important to remember that the competition is tough. However, dedication, hard work, and a positive mindset can significantly increase your chances of securing admission to a Sainik School or RMS. Here, Shaurya Bharat can be a perfect guide to students. Shaurya Bharat is the best offline and online platform for students preparing for the Sainik School, RMS, and RIMC entrance examinations.

Offline Classes

We conduct offline coaching for Sainik School and RMS (School + Coaching) at our campus in Jodhpur, Rajasthan.

Click the following link to get a virtual tour of Shaurya Bharat Sainik School and Defence Academy. https://www.youtube.com/watch?v=H1dDOpZ-kh8

Click the following link to get to know what students say about Shaurya Bharat Sainik School & Defence Academy https://www.youtube.com/watch?v=aYtCzAcU8To

Online Classes

Online classes are conducted through the Shaurya Bharat app. The Shaurya Bharat app provides the best content in the form of live classes, video lectures, and e-books.

Also, it offers topic-wise practice tests and pattern-based live exams. The live exams are based exactly on the pattern of the main examination. This gives students a well-required practice and a look and feel of the main examination. It makes them well-equipped to handle and overcome the examination pressure with minimum ease.

Useful Links

To know more about the Shaurya Bharat app logon to https://shauryabharat.com/

For more information about the Sainik School and RMS entrance exams for class 6, log on to https://shauryabharat.com/elite-schools/aissee-sainik-school-class-6/ and https://shauryabharat.com/elite-schools/rashtriya-military-school-rms-class-6/

For more information about the Sainik School and RMS entrance exam for class 9, log on to https://shauryabharat.com/elite-schools/aissee-sainik-school-class-9/ and https://shauryabharat.com/elite-schools/rashtriya-military-school-rms-class-9/

To download the detailed notification, submit the online application and download the admit card log on to https://exams.nta.ac.in/AISSEE/and https://www.rashtriyamilitaryschools.edu.in/

Use the following link to download the Shaurya Bharat app – The best digital platform to prepare for the Sainik School: https://play.google.com/store/apps/details?id=com.shauryabharat