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

'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.