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RD Sharma Class 6 Solutions Chapter 3 - Whole Numbers (Ex 3.1) Exercise 3.1 - Free PDF

RD Sharma Class 6 Solutions Chapter 3 - Whole Numbers (Ex 3.1) Exercise 3.1 - Free PDF

Q: 6. What is the key difference between 'whole numbers' and 'natural numbers', and why is it important for this chapter?

The key difference is the number zero (0). Natural numbers are counting numbers starting from 1 (1, 2, 3,...). Whole numbers include all natural numbers plus zero (0, 1, 2, 3,...). This distinction is crucial because:The smallest whole number is 0.The smallest natural number is 1.Every natural number is a whole number, but not every whole number (specifically 0) is a natural number.Understanding this helps correctly answer true/false questions and problems involving the smallest numbers in a set.

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Vedantu’s RD Sharma Class 6 Chapter 3 Whole Numbers (Ex 3.1) Solutions - Free PDF

Free PDF download of RD Sharma Class 6 Solutions Chapter 3 - Whole Numbers Exercise 3.1 solved by Expert Mathematics Teachers on Vedantu. All Chapter 3 - Whole Numbers Ex 3.1 Questions with Solutions for RD Sharma Class 6 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

About the Chapter

'Whole Numbers' is the third Chapter in the NCERT Maths textbooks for Class 6 students. After the first chapter introduces us to Knowing the Numbers, and Second Chapter teaches us about Factors and Multiples using practical examples, this chapter teaches us the concepts of Whole Numbers.

This chapter in the NCERT Book revises Rational Numbers, Irrational Numbers, Integers and goes into depth about Whole Numbers.

Whole Numbers: Whole Numbers are numbers that are not fractions and are a collection of the positive (+) integers and 0. Their symbol is ‘W’ and the numbers go on from 0,1,2,3,4,5,6,7,8,9, …

Number Line: A number line is a line on which we mark numbers at different intervals. It is a tool to demonstrate simple numerical operations.

After this, we are taught how to do addition, subtraction, and multiplication on the number line. Students should solve all the questions in the given exercises as they are essential to understanding the core concept.

Following these exercises are the ‘Properties of Whole Numbers:

Additive Identity: If a whole number is added to zero, its value doesn't change. Hence the additive identity of whole numbers is 0.
Multiplicative Identity: If a whole number is multiplied by One, its value doesn't change. Hence the multiplicative identity of whole numbers is 1.
Closure Property: Whole Numbers have the ability to be closed by doing addition and multiplication, which means if two numbers are whole numbers, the result we will get by multiplying them or adding them will also be a whole number.
Associative Property: If you are adding or multiplying Whole Numbers as a set, their grouping can be in any order and the result will be the same. Hence, Whole Numbers are also associative under multiplication and addition.
Commutative Property: It doesn't matter in what order you multiply or add two Whole Numbers, the result will always be the same. Hence, Whole Numbers are commutative under multiplication and addition.
Distributive Property: When there are three whole numbers, for example, x, y and z, the distributive property of multiplication over addition will be x(y + z) = (xy) + (xz), the same would be eligible if there was subtraction instead of addition.
Multiplication by 0: If a whole number is multiplied by zero, the result is always zero.
Division by 0: If a whole number is divided by zero, the result is Not Defined.

After understanding the concepts from NCERT Book and finishing the exercises, to solve some more complex but exciting examples, you should explore RD Sharma's Mathematics for Class 6. This book will provide additional problems and questions that will strengthen a student's core concepts of the chapter. 

Vedantu's App and Website provides the solutions to those broadly detailed and complex questions. Students won't hesitate to solve the questions in the book. They would delve into the NCERT Chapter's concept even further with the help of both RD Sharma and its solutions by Vedantu by just Signing In. Downloadable PDFs of those same solutions are also available.

List of Exercises in R.D. Sharma’s Mathematics for Class 6 - Whole Numbers

Exercise 3.1

Questions 1 to 11

Objective Type Questions

Questions 1 to 22

You can quickly Sign In for the solutions and downloadable PDFs of the answers to all these exercises.

All the study materials are readily available on Vedantu’s website where you can download them for free.

FAQs on RD Sharma Class 6 Solutions Chapter 3 - Whole Numbers (Ex 3.1) Exercise 3.1 - Free PDF

1. Where can I find reliable, step-by-step solutions for RD Sharma Class 6 Maths Chapter 3, Exercise 3.1?

You can find clear and accurate step-by-step solutions for all questions in RD Sharma Class 6 Maths Chapter 3, Exercise 3.1, on this platform. These solutions are prepared by subject matter experts to help you understand the correct method for solving each problem, aligning with the CBSE 2025-26 curriculum.

2. What is the main concept tested in RD Sharma Class 6, Chapter 3, Exercise 3.1?

Exercise 3.1 of RD Sharma Class 6 Maths Chapter 3 primarily tests your understanding of the fundamental concepts of whole numbers. This includes identifying whole numbers, finding the successor (the number that comes just after), and the predecessor (the number that comes just before) of a given whole number.

3. How do you find the successor of a given whole number as per the problems in Exercise 3.1?

To find the successor of any given whole number, you simply need to add 1 to it. For example, the successor of the whole number 99 is 99 + 1, which equals 100. This is a key operation for solving questions in this exercise.

4. What is the correct method to find the predecessor of a whole number?

The correct method to find the predecessor of a whole number is to subtract 1 from it. For instance, the predecessor of 543 is 543 - 1, which is 542. It is important to remember that this applies to all whole numbers except for one special case.

5. Are the solutions for the latest RD Sharma Class 6 Maths (2025-26 Edition) different for Chapter 3?

The core concepts of whole numbers, predecessors, and successors covered in Chapter 3 remain consistent across different editions of the RD Sharma textbook. Therefore, the methods and solutions for Exercise 3.1 are generally applicable for the 2025-26 edition as well as recent previous editions as the fundamental mathematical principles do not change.

6. What is the key difference between 'whole numbers' and 'natural numbers', and why is it important for this chapter?

The key difference is the number zero (0). Natural numbers are counting numbers starting from 1 (1, 2, 3,...). Whole numbers include all natural numbers plus zero (0, 1, 2, 3,...). This distinction is crucial because:

The smallest whole number is 0.
The smallest natural number is 1.
Every natural number is a whole number, but not every whole number (specifically 0) is a natural number.

Understanding this helps correctly answer true/false questions and problems involving the smallest numbers in a set.

7. Why does the whole number 0 not have a predecessor in the set of whole numbers?

The predecessor of a number is found by subtracting 1. If we subtract 1 from 0, we get -1 (0 - 1 = -1). Since -1 is a negative integer and not a part of the set of whole numbers, we can conclude that 0 does not have a predecessor within the set of whole numbers. All other whole numbers have a predecessor that is also a whole number.

8. When a question asks for "three whole numbers occurring just before 10001", why is showing the steps important?

Simply listing the numbers might provide the right answer, but it doesn't demonstrate your understanding of the concept of a predecessor. For full marks in an exam, you should show the step-by-step process. This involves:

Finding the first predecessor: 10001 - 1 = 10000
Finding the second predecessor: 10000 - 1 = 9999
Finding the third predecessor: 9999 - 1 = 9998

This methodical approach proves you can apply the concept correctly, which is the learning objective of the exercise.

9. How do RD Sharma solutions for Chapter 3 build a stronger foundation compared to just using NCERT solutions?

While NCERT establishes the core concepts, RD Sharma provides a wider variety of problems with increasing difficulty. The detailed solutions for RD Sharma Chapter 3 help you to:

Master the fundamentals like successor and predecessor through extensive practice.
Gain confidence by tackling more complex variations of the same concept.
Understand the application of properties of whole numbers in different scenarios, which prepares you better for school exams.

10. Is it possible for a whole number to be its own successor or predecessor?

No, it is not possible for a whole number to be its own successor or predecessor. The successor is always one greater than the number (n+1), and the predecessor is always one less (n-1). Since a number 'n' can never be equal to 'n+1' or 'n-1', a whole number cannot be its own successor or predecessor. This highlights a fundamental property of the number line.