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

Last updated date: 19th May 2024
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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. How will Vedantu help me in solving questions from RD Sharma Class 6 Chapter - Whole Numbers?

Vedantu is your guide to providing you with the necessary helpful and downloadable study materials and content, including solutions to the RD Sharma questions that students might solve to broaden their concepts learned after completing the NCERT Chapter. Our credible professionals have curated and created the best resources for students to easily access all the solutions for the complex questions, and it will not only help them find the answers but also understand the entire process behind solving these questions. Plus, students can download these solutions as PDFs for offline use. 

2. How will RD Sharma be useful for me in Class 6 Maths?

RD Sharma books are an additional guide for the student to clear or explore any of the concepts learned in the NCERT Textbook. After completing all the topics in the NCERT Books and solving all the exercises given there, the student can switch to the RD Sharma Book and solve even more questions of a more complex level of the same concept. This will strengthen their understanding of the topic and give them extra mileage on acing their examinations. If a student faces problem-solving these questions, our Vedantu platform is always there to provide you solutions in Online and Offline Downloadable PDF forms. All you have to do is simply Sign in and access all the great study material curated by professionals.

3. What are the topics covered in Chapter 3 of the Class 6 Maths NCERT textbook?

Chapter 3 - Whole Numbers begins with an introduction to Whole Numbers. This chapter covers topics and exercises including:

  • What are Whole Numbers

  • Whole Numbers (Practice Question)

  • The Number Line

  • Addition on the Number Line

  • Subtraction on the Number Line

  • Multiplication on the Number Line

  • Exercise 2.1 Questions - 1, 2, 3 & 4 (NCERT - Pg 31)

  • Exercise 2.1 Question - 5 & 6 

  • Exercise 2.1 Question - 7 & 8

  • Properties of Whole Numbers

  1. Closure Property

  2. Commutativity of Addition and Multiplication

  3. Associativity of Addition and Multiplication

  • Example (NCERT - Pg 36)

  • Example (NCERT - Pg 37) 

4. Which numbers are called Whole Numbers and which ones are not?

Numbers starting from 0, 1, 2, 3, … and so on, are Whole Numbers. The numbers that fall on the negative side of the number line are not Whole Numbers. Additionally, all the Natural Numbers can also be identified as whole numbers, but all the whole numbers are not natural numbers. Hence, Zero and Positive Numbers are considered Whole Numbers, whereas Negative Numbers are not considered Whole Numbers.

5. What is a Number Line?

In the subject of Mathematics, a Number Line is a picture/diagram of a straight line that helps us do different equations like addition, subtraction and multiplication, of Real Numbers.

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Every mark donates a number on the line, and all these numbers are called Real Numbers. The integers are shown on these points evenly spaced on the line. The numbers on the left of 0 are Negative Numbers and the ones on the right are Positive Numbers that are known as Whole Numbers.