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NCERT Solutions for Class 6 Maths Chapter 2 - Whole Numbers Exercise 2.1

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Last updated date: 07th Sep 2024
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NCERT Solutions for Maths Exercise 2.1 Class 6 Chapter 2 Whole Numbers - FREE PDF Download

In the NCERT Solution for Whole Numbers Ex 2.1 Class 6, we begin exploring the fundamental concept of whole numbers. Whole numbers include all natural numbers along with zero. Ex 2.1 Class 6 Maths NCERT Solutions aims to solidify your understanding of whole numbers by focusing on their properties and basic operations. You will learn how to represent whole numbers on a number line, perform addition and subtraction, and understand the significance of these operations in real-world scenarios. Access the CBSE Class 6 Maths Syllabus here.

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Table of Content
1. NCERT Solutions for Maths Exercise 2.1 Class 6 Chapter 2 Whole Numbers - FREE PDF Download
2. Glance on NCERT Solutions Maths Chapter 2 Exercise 2.1 Class 6 | Vedantu
3. Access NCERT Solutions for Maths Class 6 Chapter 2 - Whole Numbers
    3.1Exercise 2.1
4. CBSE Class 6 Maths Chapter 2 Other Study Materials
5. Chapter-Specific NCERT Solutions for Class 6 Maths
FAQs


Glance on NCERT Solutions Maths Chapter 2 Exercise 2.1 Class 6 | Vedantu

  • NCERT Class 6 Maths Chapter 2 covers topics such as Whole Numbers, The Number Line, Addition on the number line and Multiplication on the number line.

  • This chapter focuses on whole numbers, which are the counting numbers starting from 0 and continuing infinitely: 0, 1, 2,3, .... Whole numbers are used for counting objects where fractions or decimals are not involved.

  • The number line is a visual representation of whole numbers. Numbers are marked at equal distances on a horizontal line, with 0 in the middle and numbers increasing to the right and decreasing to the left. The number line helps visualize the relative positions of whole numbers and understand addition and subtraction concepts.

  • Adding on the number line involves moving a certain number of jumps to the right. Suppose you want to add 3 to 5. Start at 5 on the number line, and move 3 jumps to the right. You land at 8, which is the sum of 5 and 3.

  • Multiplication on the number line involves repeated jumps. Multiplying 4 by 2 represents, moving 2 jumps (representing the number being multiplied by) four times to the right. This helps visualize the concept of multiplication with whole numbers.

  • The Ex 2.1 Class 6 has 8 Questions and Solutions.

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

Exercise 2.1

1. Write the next three natural numbers after 10999. 

Ans: As we know that to get the next three natural numbers, first of all, we have to add one to 10999 then after adding one to it and after that, we have to add one to the last one.

$10999+1=11000$

$11000+1=11001$

$11001+1=11002$


2. Write the three whole numbers occurring just before 10001. 

Ans: As we know that to get the three whole numbers occurring just before 10001, first of all, we have to subtract one from 10001 then after that subtract one from it and finally after that we have to subtract from the last one.

$10001-1=10000$

$10000-1=9999$ 

$9999-1=9998$


3. Which is the smallest whole number? 

Ans: ‘0’ (zero) is the smallest whole number. 


4. How many whole numbers are there between 32 and 53? 

Ans: 53 – 32 – 1 = 20 

There are 20 whole numbers between 32 and 53.


5. Write the successor of: 

(a) 2440701

Ans: Successor of 2440701 is 2440701 + 1 = 2440702

(b) 100199 

Ans: Successor of 100199 is 100199 + 1 = 100200 

(c) 1099999 

Ans: Successor of 1099999 is 1099999 + 1 = 1100000 

(d) 2345670

Ans: Successor of 2345670 is 2345670 + 1 = 2345671 


6. Write the predecessor of: 

(a) 94 

Ans: The predecessor of 94 is 94 – 1 = 93 

(b) 10000 

Ans: The predecessor of 10000 is 10000 – 1 = 9999 

(c) 208090

Ans: The predecessor of 208090 is 208090 – 1 = 208089

(d) 7654321 

Ans: The predecessor of 7654321 is 7654321 – 1 = 7654320 


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: 530 > 503;               

So, 503 appear on left side of 530 on number line. 

(b) 370, 307 

Ans: 370 > 307;              

So ,307 appear on left side of 370 on number line. 

(c) 98765, 56789 

Ans: 98765 > 56789;

So, 56789 appear on the left side of 98765 on a number line. 

(d) 9830415, 10023001 

Ans: 9830415 < 10023001;      

So, 9830415 appear on the left side of 10023001 on the number line. 


8. Which of the following statements are true (T) and which are false (F): 

(a) Zero is the smallest natural number. 

Ans: False, As we know that zero is not a natural number, hence, it can't be the smallest natural number.

(b) 400 is the predecessor of 399. 

Ans: False,

The predecessor of any number is the one that comes before the given number on the number line. So, 400 comes after 399 on the number line.

(c) Zero is the smallest whole number. 

Ans: True,

Whole numbers start their count from zero, hence, zero is the smallest whole number. The set of whole numbers starts from 0, 1, 2, 3..., 

(d) 600 is the successor of 599. 

Ans: True

The successor of any number is the one that comes after the given number on the number line. As we know, 600 comes after 599 on the number line. 

(e) All natural numbers are whole numbers

Ans: True,

Natural numbers are included in the set of whole numbers. Hence, all natural numbers are whole numbers. 

(f) All whole numbers are natural numbers. 

Ans: False,

All whole numbers except 0 are natural numbers. Hence, all whole numbers are not natural numbers.

(g) The predecessor of a two digit number is never a single digit number. 

Ans: False,

A predecessor comes before the given number on a number line. Hence, it is possible that a single-digit number can come before a two-digit number. 

(h) 1 is the smallest whole number. 

Ans: False,

Whole numbers start from zero, hence, zero is the smallest whole number. 

(i) The natural number 1 has no predecessor. 

Ans: True,

Since natural numbers start from 1, it has no predecessor in this list.

(j) The whole number 1 has no predecessor. 

Ans: False,

The set of whole numbers starts from 0, 1, 2, 3..., therefore, 1 has a predecessor zero.

(k) The whole number 13 lies between 11 and 12. 

Ans: False,

13 ,is a successor of 12. Hence, it does not lie between 11 or 12 i:e 11,12,13.

(l) The whole number 0 has no predecessor. 

Ans: True,

The set of whole numbers starts from 0, 1, 2, 3... In this set, 0 has no predecessor.

(m) The successor of a two digit number is always a two digit number.

Ans: False

A successor comes after the given number on a number line. In the case of 99 (a two-digit number), the successor is 100 which is a three-digit number.


Conclusion

The Class 6 Maths Chapter 2 Exercise 2.1 Solutions has provided a solid foundation for understanding and working with whole numbers. We have learned how to represent whole numbers on a number line and perform basic operations such as addition and subtraction in class 6 ex 2.1. These skills are essential for solving real-world problems and serve as a foundation for more, advanced mathematical concepts. By mastering these basics, you are well-prepared to solve more complex topics in mathematics.


CBSE Class 6 Maths Chapter 2 Other Study Materials



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 for Class 6 Maths Chapter 2 - Whole Numbers Exercise 2.1

1. From where can I get the NCERT solution for class 6th math, chapter 2, whole number exercise 2.1?

The NCERT solution for class 6 ex 2.1, is available on India's top online education site with an answer. The highly skilled and experienced teacher who created exercise 2.1 strictly followed the most recent CBSE regulations. These solutions include exact and thorough responses to every question presented in the Class 6 NCERT Maths textbook. With these tools and the official website, .com, you can quickly download PDF versions of these study guides.

2. Why should a student refer to the Vedantu platform for the NCERT solution for Class 6 Math, Chapter 2, Whole Number Exercise 2.1?

On the Vedantu portal, you may get textbook solutions for almost all elementary, middle, and high school courses. With the help of numerous examples provided in the expertly created textbook solutions, you can practice algebraic expressions and identities.

3. How can the NCERT solutions for Class 6 Math Chapter 2 Exercise 2.1 be helpful in the final exams?

In Class 6 Math, Chapter 2, "Whole Numbers," we deal with the question based on numbers and their different properties, like whole number integrals, the sum of their numbers and integers, and so on. While solving these NCERT exercise solutions, students struggle with basic problems. With answers free and solutions that use a simple methodology, students can grasp the fundamentals while addressing queries. In addition, they will be ready for challenging questions before the final exams.

4. Is class 6 math, chapter 2, whole number exercise 2.1, important?

Without a doubt, class 6 math, chapter 2, whole numbers, is crucial. You can use this as a foundation for your upcoming classes as well as for any competitive exams. Students should pay special attention to this chapter and comprehend the topic "School stop." You can look at the answer for Chapter 6 with the numbers and step-by-step solution in the free PDF format. Additionally, you will be able to increase your understanding and discover a new method for resolving number problems.

5. What is the importance of the syllabus?

A syllabus is very essential, as it works as a skeleton and gives a framework to both the pupils and the teachers. It also helps the student develop effective learning strategies. Besides this, it also helps the teachers organize their upcoming classes and plan accordingly.

6. What are whole numbers?

Whole numbers are all natural numbers, including zero. They are represented as 0, 1, 2, 3, and so on, without any fractions or decimals.

7. How do you represent whole numbers on a number line?

As we studied in Class 6 Maths Ex 2.1, To represent whole numbers on a number line, draw a straight line with evenly spaced marks. Label these marks with whole numbers starting from 0 and moving to the right. Each mark corresponds to a whole number.

8. What are the basic operations covered in Class 6 Maths Chapter 2 Exercise 2.1 Solutions?

The basic operations covered in this exercise are addition and subtraction of whole numbers. These operations help students understand how to combine and compare quantities using whole numbers.

9. Can you give an example of a problem from Exercise 2.1?

Example: Represent the whole numbers from 0 to 5 on a number line, and perform the addition of 2 and 3.

  • Representation: Mark points at equal distances and label them 0, 1, 2, 3, 4, and 5 on the number line.

  • Addition: Start at 2, move 3 steps to the right, and you will reach 5. So, 2 + 3 = 5.

10. Are zero and negative numbers included in whole numbers?

As we studied in Class 6 Ex 2.1, zero is included in whole numbers, but negative numbers are not. Whole numbers start from zero and include all positive integers.