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NCERT Solutions Class 6 Maths Chapter 2 Whole Numbers

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Last updated date: 17th Jul 2024
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NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers - FREE PDF Download

NCERT for Class 6 Maths Chapter 2 Solutions Whole Numbers by Vedantu provides students with an easy-to-understand guide to the fundamental concepts of whole numbers. This chapter introduces the idea that entire numbers include all natural numbers along with zero.

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Table of Content
1. NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers - FREE PDF Download
2. Glance on Maths Chapter 2 Class 6 - Whole Numbers
3. Access NCERT Solutions for Maths Chapter 2 – Whole Numbers
4. NCERT Solutions for Class 6 Maths Chapter 2 PDF
    4.12.1 Introduction
    4.22.2 Whole Numbers
    4.32.3 Number Line
5. Overview of Deleted Syllabus for CBSE Class 6 Maths Whole Numbers
6. Class 6 Maths Chapter 2: Exercises Breakdown
7. Other Study Material for CBSE Class 6 Maths Chapter 2
8. Chapter-Specific NCERT Solutions for Class 6 Maths
FAQs

Students will learn about placing these numbers on a number line, understanding the successor and predecessor of numbers, and performing basic arithmetic operations like addition and subtraction using a number line. Vedantu's NCERT Class 6 Maths solutions help clarify these concepts with step-by-step explanations and examples, making it easier for students to grasp the basics of whole numbers and build a strong foundation for more advanced mathematical topics.


Glance on Maths Chapter 2 Class 6 - Whole Numbers

  • A number line is a visual representation of numbers placed at equal intervals along a straight line.

  • The number that comes immediately after a given number is known as a Successor. For example, the successor of 5 is 6.

  • The number that comes immediately before a given number is known as Predecessor. For example, the predecessor of 5 is 4.

  • This article contains chapter notes, important questions, exemplar solutions, exercises, and video links for Chapter 2 - Whole Numbers, which you can download as PDFs.

  • There is only one exercise (8 fully solved questions) in class 6th Maths chapter 2 Whole Numbers.


Access Exercise Wise NCERT Solutions for Chapter 2 Maths Class 6

S.No.

Current Syllabus Exercises of Class 6 Maths Chapter 2

1

NCERT Solutions of Class 6 Maths Whole Numbers Exercise 2.1

Access NCERT Solutions for Maths Chapter 2 – Whole Numbers

Exercise 2.1: This exercise contains 8 fully solved questions. Chapter 2 Class 6 Maths Exercise 2.1 focuses on introducing and understanding the concept of whole numbers and basic operations on whole numbers.


Access NCERT Solutions for Class 6 Maths Chapter 2 – Whole Numbers

Exercise 2.1

1. Write the Next Three Natural Numbers After

10999.

Ans:

Natural numbers are those numbers which start from positive integers and go on till infinity.

To find the next three natural numbers, just add

1 to every preceding integer.

So,

10,999+1=11,000

11,000+1=11,001

11,001+1=11,002

Thus the three natural numbers after

10,999 are

11000,11001,11002 .


2. Write the Three Whole Numbers Occurring Just Before

10001 .

Ans:

Whole numbers are those numbers which start from zero and go on till infinity.

To find the three whole numbers occurring before the number, just subtract

1 from every preceding integer.

So,

10,001−1=10,000

10,000−1=9,999

9,999−1=9,998

Thus the three whole numbers occurring before

10,001 are

10000,9999,9998 .


3. Which is the Smallest Whole Number?

Ans:

Whole numbers are those numbers which start from zero and go on till infinity.

Since the whole numbers start with zero, the smallest whole number is zero.

So

0 is the smallest number.


4. How Many Whole Numbers are There Between

32 and 53 ?

Ans:

To find the number of whole numbers between two numbers, we have to list out the numbers between

32 and 53 .

The numbers are

33,34,35,...,52 .

Numbers between

53 and

32=(53−32)−1                                  

=20

So there are

20 whole numbers between

32 and 53 .


5. Write the Successor of 

(a)

2440701

Ans:

The successor is the number that comes after the given number. 

It can be found by adding

1 to the given number.

So,

2440701+1=2440702

So the successor of

2440701 is

2440702 .

(b)

100199.

Ans:

The successor is the number that comes after the given number. 

It can be found by adding

1 to the given number.

So,

100199+1=100200

So the successor of

100199 is

100200 .

(c)

1099999.

Ans:

The successor is the number that comes after the given number. 

It can be found by adding

1 to the given number.

So,

1099999+1=1100000

So the successor of

1099999 is

1100000.

(d)

2345670.

Ans;

The successor is the number that comes after the given number. 

It can be found by adding

1 to the given number.

So,

2345670+1=2345671

So the successor of

2345670 is

2345671.


6. Write the Predecessor of 

(a)

94

Ans:

The predecessor is the number that comes before the number.

It can be found by subtracting

1 from the given number.

So,

94−1=93

So the predecessor of

94 is

93.

(b)

10000

Ans:

The predecessor is the number that comes before the number.

It can be found by subtracting

1 from the given number.

So,

10,000−1=9,999

So the predecessor of

10,000 is

9,999.

(c)

208090

Ans:

The predecessor is the number that comes before the number.

It can be found by subtracting

1 from the given number.

So,

2,08,090−1=2,08,089

So the predecessor of

2,08,090 is

2,08,089.

(d)

7654321

Ans:

The predecessor is the number that comes before the number.

It can be found by subtracting

1 from the given number.

So,

76,54,321−1=76,54,320

So the predecessor of

76,54,321 is

76,54,320.


7. In Each of the Following Pairs of Numbers, State Which Whole Number is on the Left of the Other Number on the Number Line. Also,Write Them with the Appropriate Sign

(>,<)

(>,<)between them.

(a)

530,503

Ans:

Numbers in the number line always increase from left to right.

Here the smaller number is

503.

So

503 lies on the left of

530.

And

530>503

Hence,

503 lies on the left of

530 on the number line and

530>503.

(b)

370,307

Ans:

Numbers in the number line always increase from left to right.

Here the smaller number is

307.

So

307 lies on the left of

370.

And

370>307

Hence,

307 lies on the left of

370 on the number line and

370>307.

(c)

98765,56789

Ans:

Numbers in the number line always increase from left to right.

Here the smaller number is

56789.

So

56789 lies on the left of

98765.

And

98765>56789

Hence,

56789 lies on the left of

98765on the number line and

98765>56789.

(d)

9830415,10023001

Ans:

Numbers in the number line always increase from left to right.

Here the smaller number is

9830415.

So

9830415 lies on the left of

10023001.

And

9830415<10023001

Hence,

9830415 lies on the left of

10023001 on the number line and

9830415<10023001.


8. Which of the Following Statements are True (T) and Which are False (F):

(a) Zero is the Smallest Natural Number.

Ans:

Natural numbers are those numbers which start from positive integers and go on till infinity.

So the smallest natural number is

1and not zero.

So the given statement “Zero is the smallest natural number” is false.

(b)

400 is the Predecessor of

399.

Ans:

The predecessor is the number that comes before the number.

It can be found by subtracting

1 from the given number.

So,

399−1=398

So the predecessor of

399 is

398.

So the given statement “

400 is the predecessor of

399” is false.

(c) Zero is the Smallest Whole Number.

Ans:

Whole numbers are those numbers which start from zero and go on till infinity.

So the smallest whole number is zero.

So the given statement “Zero is the smallest whole number” is true.

(d)

600 is the successor of

599.

Ans:

The successor is the number that comes after the given number. 

It can be found by adding

1 to the given number.

So,

599+1=600

So the successor of

599 is

600.

So the given statement “

600 is the successor of

599:” is true.

(e) All Natural Numbers are Whole Numbers.

Ans:

Natural numbers are those which start from positive integers to infinity.

Whole numbers are those numbers which start from zero and go on till infinity.

So natural numbers will also come under whole numbers. 

So all natural numbers are whole numbers.

So the given statement “All natural numbers are whole numbers” is true.

(f) All Whole Numbers are Natural Numbers.

Ans:

Natural numbers are those which start from positive integers to infinity.

Whole numbers are those numbers which start from zero and go on till infinity.

So all natural numbers are whole numbers but not all whole numbers are natural numbers since natural will miss zero from whole numbers.

So the given statement “All whole numbers are natural numbers” is false.

(g) The Predecessor of a Two Digit Number is Never a Single Digit Number.

Ans:

Let us consider a two digit number. 

Let it be

10.

The predecessor is the number that comes before the number.

It can be found by subtracting

1 from the given number.

So,

10−1=9

So the predecessor of

10 is

9.

Thus the predecessor of a two digit number is a single digit number in this case.

So the given statement “The predecessor of a two digit number is never a single digit number’ is false.

(h)

1is the Smallest Whole Number.

Ans:

Whole numbers are those numbers which start from zero and go on till infinity.

So the smallest whole number is

0.

So the given statement “

1 is the smallest whole number” is false.

(i) The Natural number

1 has no predecessor.

Ans:

Natural numbers are those which start from positive integers and go on till infinity.

So the smallest natural number is

1and it has no predecessor.

So the given statement “The natural number

1 has no predecessor” is true.

(j) The Whole Number

1 has no Predecessor.

Ans:

Whole numbers are those numbers which start from zero and go on till infinity.

The predecessor is the number that comes before the number.

It can be found by subtracting

1 from the given number.

So,

1−1=0

So the predecessor of

1 is

0 which is a whole number.

Thus the given statement “The whole number

1 has no predecessor” is false.

(k) The Whole Number

13 Lies Between

11 and

12.

Ans:

Whole numbers are those numbers which start from zero and go on till infinity.

0,1,2,3,...,11,12,13,...

The whole number

13 lies after

11,

12 and not between them.

So the given statement “The whole number

13 lies between

11 and

12 “ is false.

(l) The whole Number

0 has no Predecessor.

Ans:

Whole numbers are those numbers which start from zero and go on till infinity.

So the smallest number in the whole number is zero and it has no predecessor.

So the given statement “The whole number

0 has no predecessor” is true.

(m) The Successor of Two Digit Number is Always a Two Digit Number”

Ans:

Let us consider a two digit number. 

Let it be

99.

The successor is the number that comes after the given number.

It can be found by adding

1 to the given number.

So,

99+1=100

So the successor of

99 is

100.

Thus the successor of a two digit number is a three digit number in this case.

So the given statement “The successor of a two digit number is always a two digit number’ is false.


NCERT Solutions for Class 6 Maths Chapter 2 PDF

NCERT Solutions of Maths books for Class 6 are available in PDF format for free download. It helps the students to practice whenever they want. Additionally, the book can be stored for future purposes like academic exams competitive exams or olympiads, etc…


2.1 Introduction

At the beginning of the chapter, the Whole Numbers of Class 6 by NCERT Solutions recalled the numbers and explained the concepts of successor and predecessor. Students can easily understand because these are similar to before and after numbers. As the student's level increases, the terminology also changes. So the student should be aware of all the terms because several students may lose their marks without knowing the terms even though they know the concept very well.


2.2 Whole Numbers

After attaining the knowledge of the successor and predecessor, the students may get doubt, what is the predecessor of one. So, in order to clarify this, Aryabhatta discovered the numeral called zero. All the natural numbers, including zero, are nothing but Whole Numbers. NCERT Solutions of the Maths book of Chapter 2 has explained it in detail. So we can say that the national numbers are a subset of Whole Numbers.


2.3 Number Line

The NCERT solutions of Class 6 Maths Chapter 2 Whole Numbers PDF introduced a new concept to the students, which is called the number line. Students can understand it as simple as the numbers because it represents the numbers on your straight line. The number line can be used to represent additions, subtractions, and multiplications too. The experience of teachers of NCERT solutions has been verified thoroughly and explained the concept with several examples. Also, students can assess themselves by using the exercises and practice questions.


Overview of Deleted Syllabus for CBSE Class 6 Maths Whole Numbers

Chapter

Dropped Topics

Whole Numbers

2.4 Properties of Whole Numbers

Page Number - (31-45) 

2.5 Patterns in Whole Numbers

Page Number - (31-45)


Class 6 Maths Chapter 2: Exercises Breakdown

Exercise

Number of Questions

Exercise 2.1

8 Questions and Solutions



Conclusion

NCERT for Whole Numbers Class 6 Solutions Maths by Vedantu provides a comprehensive understanding of whole numbers and basic arithmetic operations. This chapter is crucial as it lays the foundation for more advanced mathematical concepts. Key areas to focus on include defining whole numbers, understanding the number line, and mastering the concepts of successor and predecessor. Practicing these concepts through the provided exercises will help reinforce learning and ensure a solid grasp of the material. In previous years' exams, around 4-5, questions were asked from the chapter's whole numbers. Consistent practice and a thorough understanding of these topics are essential for performing well in exams.


Other Study Material for CBSE Class 6 Maths Chapter 2



Chapter-Specific NCERT Solutions for Class 6 Maths

Given below are the chapter-wise NCERT Solutions for Class 6 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.


FAQs on NCERT Solutions Class 6 Maths Chapter 2 Whole Numbers

1. Explain the Closure Property on Addition and Multiplication with an example.

The closure property of addition and multiplication states that when you add or multiply any two numbers from a set, the result will also be a number from the same set.


For example, if you add two whole numbers, the result will always be a whole number. Similarly, if you multiply two whole numbers, the result will always be a whole number.

For addition, a + b = b + a

3000 + 5000 = 8000

5000 + 3000 = 8000

For multiplication,  a x b = b x a

25 x 50 = 1250

50 x 25 = 1250 

2. Explain the Associative Property on Addition and Multiplication with an example.

The Whole Numbers can satisfy the associated property on both additions and multiplications similar to the closure property. Let's see an example of this.

For addition, a+(b+c) = (a+b)+c

 2+ (4+6) = (2+4)+6 = 12

For multiplication, a x (b x c )= (a x b) x c

2 x (4 x 6) = (2 x 4) x 6 = 48

3. What are the properties available in Mathematics for numbers?

Generally, we have six properties for the numbers. However, there will not be any compulsion that all members should satisfy all the properties. Some of the properties were satisfied and some may not. The basic properties available are -

  • Closure property

  • Associative property

  • Commutative property

  • Distributive property

  • Identity property

  • Inverse property etc.

4. Where can I access the solutions for Class 6 Maths Chapter 2?

Class 6 Chapter 2 is an easy chapter if practised regularly. To make it easier, you can easily avail the solutions on Vedantu. The solutions can easily be accessed free of cost via the link given. There are a variety of modules and example papers available on the Vedantu website and the Vedantu mobile app for those who are interested and want to do well in their exams. 

5. What is the whole number in Class 6 Maths Chapter 2?

Whole numbers are basic counting numbers in mathematics: 0, 1, 2, 3, 4,... These include 55, 88, 69856555 etc. Natural numbers beginning with 1 are included in the definition of whole numbers. Positive integers and 0 are included in whole numbers. For more information and guidance you can visit the Vedantu Site (vedantu.com) or the Vedantu app. The problems of this chapter can be tricky sometimes and hence it is advisable to practice them carefully even if you find them simple. Practice well for your exams!

6. Do I need to practice all the questions provided in Class 6 Maths Chapter 2 NCERT Solutions?

Indeed. It is very important that you practice and answer all questions since they cover a variety of subjects and concepts and will give you a good understanding of the kind of questions that might be set from those areas and the framework of the question paper. These questions also help you learn how different questions from the same topic may be set. Each exercise should be thoroughly revised. The Vedantu website and Vedantu mobile app both provide a variety of modules as well as example papers on these subjects if you're so inclined.

7. What is the number 0?

Zero is a number that can be classified as a whole number, a real number, and a non-negative integer. It is not classified as undercounting, odd, positive natural or negative whole numbers and neither a complex number. It is quite tricky to classify zero into different categories. It can be included in multiple equations involving complex numbers though. Practice all the problems related to these topics and other topics of this chapter as well in order to score well in them.

8. Can zero be classified as a natural number?

Zero is a number that is a whole number, a real number, and a non-negative integer. It is neither a counting, odd, positive natural, or negative whole number, nor is it a complex number. It is difficult to categorise zero in numerous ways. It can, however, be used in numerous equations involving complex values.  If you are interested in obtaining various modules and example papers relating to these areas, you can simply get them through the Vedantu website as well as the Vedantu mobile app.