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# RD Sharma Class 6 Solutions Chapter 4 - Operations on Whole Numbers (Ex 4.5) Exercise 4.5

Last updated date: 17th Sep 2024
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## Vedantu’s RD Sharma Solutions Class 6 Chapter 4 - Operations on Whole Numbers (Ex 4.5) Free PDF

Free PDF download of RD Sharma Class 6 Solutions Chapter 4 - Operations on Whole Numbers Exercise 4.5 solved by Expert Mathematics Teachers on Vedantu. All Chapter 4 - Operations on Whole Numbers Ex 4.5 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. You can also register Online for NCERT Solutions Class 6 Science tuition on Vedantu to score more marks in your examination.

Download Vedantu CBSE NCERT Solutions to get a better understanding of all the exercises questions.

Operations on whole numbers are the fourth chapter of RD Sharma And NCERT textbook. This chapter is prescribed by the CBSE. Therefore it is advisable for students to learn and understand  The concepts that are included in this chapter.

The most basic arithmetic operations on whole numbers are addition, subtraction, multiplication and division. In this chapter, we will learn about more detailed operations on whole numbers. Whole numbers can be defined as - the natural numbers along with zero from the collection of whole numbers. This chapter develops an understanding of commutative and associative properties. It explains predecessor and successor numbers, it explains what a number line is and how one can perform complex operations on whole numbers by using properties of addition properties of subtraction properties of multiplication and properties of division.

The chapter also gives us a proper understanding of commutativity of addition and multiplication, associativity of addition and multiplication, Distributivity of multiplication over addition, identity for addition, and multiplication. It explains various types of patterns in whole numbers. Exercise 4.5 in RD Sharma clears the concept of a magic square and how it can apply to whole numbers, it clears various other concepts needed for getting A good percentage in the exam. All the study material is readily available on Vedantu’s website where you can download it for free.

## Properties of Whole Numbers are

• Closure property

• The commutative property for addition and multiplication

• Associative of addition and multiplication :

• Distributive of multiplication over addition

• Identity (for addition and multiplication)

### Facts about Operations on Whole Numbers

• There is no 'largest' whole number.

• Except 0, every whole number has an immediate predecessor or a number that comes before.

• A decimal number or a fraction lies between two whole numbers, but are not whole numbers.

• All natural numbers are whole numbers, but all whole numbers are not natural numbers.

• Division by zero is not defined.

• Zero is the identity for the addition of whole numbers. The whole number 1 is the identity for the multiplication of whole numbers.

• You can add two whole numbers in any order. You can multiply two whole numbers in any order. We say that addition and multiplication are commutative for whole numbers.

• Addition and multiplication, both, are associative for whole numbers.

• Multiplication is distributive over addition for whole numbers.

To get a more comprehensive understanding of operations on whole numbers Vedantu has curated a reference guide for RD Sharma’s book containing all the solutions to keep the students in check. The study material is available for free on the website!

## FAQs on RD Sharma Class 6 Solutions Chapter 4 - Operations on Whole Numbers (Ex 4.5) Exercise 4.5

1. Define Whole Numbers.

Whole numbers can be defined as - the natural numbers along with zero from the collection of whole numbers. There are various other concepts in this chapter that will develop a deeper understanding of whole numbers, making the definition easier to learn and understand. The practise questions given in the RD Sharma book help us in getting a better view of the chapter. The study material is easily available on Vedantu's website, curated by expert Mathematics teachers who simplify the learning process.

• Identity (for addition and multiplication)

These properties are explained in-depth and there are numerous questions in the RD Sharma book to clear the concepts for students.  RD Sharma practice questions simplify these concepts further. Solving the Mathematical equations from this book will give you a comprehensive understanding of the concepts and will increase your answer-solving speed.

2. Why operations on whole numbers is an important chapter?

Operations on whole numbers is an extremely important chapter as it covers various aspects of Mathematics required for further studies. This chapter deals with Mathematical operations which can be performed on whole numbers such as addition, subtraction multiplication and division; these operations are further explained in this chapter. In order to fetch good marks in the examination, students are advised to study this chapter in-depth and solve RD Sharma practice questions which will help them in clearing their concepts. They can find solutions to the RD Sharma practice questions on Vedanta’s website. The link is easily accessible and it is free for all the students.

3. What are the important topics covered in this chapter?

The topics covered in this chapter are of utmost importance as their understanding will prepare students for further studies. Commutativity of addition and multiplication, associativity of addition and multiplication, Distributivity of multiplication over addition, identity for addition, and multiplication. With everything getting digitized all the study material is easily available on the internet. RD Sharma solutions are easily available on Vedantu’s website. These exercise solutions help students to get a better understanding of the concepts covered in the chapter.