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RS Aggarwal Class 6 Solutions Chapter-3 Whole Numbers

Q: 1. What are some of the properties of Whole Numbers?

Listed below are the important properties of Whole Numbers:Closure property - This property says that the result is always a whole number when you add or multiply two whole numbers. In other words, the system of whole numbers is closed under addition and multiplicationAddition and Multiplication of Whole Numbers are Commutative - If a and b are two whole numbers then: a + b = b + aa * b = b * aAddition and Multiplication of Whole Numbers are Associative - If a, b and c are three whole numbers then: (a + b) + c = a + (b + c)(a * b) * c = a * (b * c)Distributivity of multiplication over addition - If a, b and c are three whole numbers then: a * (b + c) = (a * b) + (a * c)

RS Aggarwal Solutions

RS Aggarwal Class 6 Solutions Chapter-3 Whole Numbers

Last updated date: 17th Apr 2024

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Class 6 RS Aggarwal Chapter-3 Whole Numbers Solutions - Free PDF Download

Types of numbers, factors and their properties, multiples, prime and composite numbers, divisibility test of numbers, common multiples, common factors, prime factorization, highest common factor, lowest common multiple, and some practice problems based on LCM and HCF are among the seven exercises in this chapter.

For practice, there are revision questions for all of the areas stated above. To make it easier for students to identify the subjects, these problems have been grouped into seven tasks ranging from 3.1 to 3.7.

Students benefit greatly from studying from RS Aggarwal books for Maths exams because the books cover all of the important topics in each chapter. For the convenience of students, Vedantu has compiled the RS Aggarwal Class 6 Chapter 3 Solutions in PDF format. Vedantu's official website provides you with the RS Aggarwal Chapter 3 PDF for Class 6 Maths that you can download to your devices anytime, anywhere. You can print it out to do a group study with your classmates or to revise the complete syllabus in another way.

Class 6 Chapter-3 RS Aggarwal Solution - Whole Numbers

Predecessor and Successor

Any natural number becomes its successor when you add 1. For example, the number 18 is the successor of 17 since 17 + 1 Equals 18. Similarly, 18 is succeeded by 19, and so on. In these cases, 17 would be the forerunner of 18, while 18 would be the precursor of 19. Predecessors are the numbers obtained by deducting one from the supplied number. As a result, 18 -1 equals 17, 19 -1 equals 18, and so on.

Natural numbers are used in many situations in real life, such as counting the number of people in a country, the number of children in your school, and so on. You now know from the preceding instances that there is no such thing as the greatest number.

Whole Numbers

Since natural numbers begin with 1, the number 1 has no precursor that falls inside the natural numbers range. To find the antecedent of number 1, we must add 0 to the collection of natural numbers.

Natural numbers are subsets of whole numbers, hence all natural numbers are whole numbers, but not all whole numbers are natural numbers.

The Number Line

To make a number line, start by drawing a straight horizontal line and marking a point with the number 0 on it (zero). Make a new point that is directly related to the original one and label it 1. The unit distance is the distance between points 0 and 1. Make a second mark at point 2, which is a unit distance and to the right of point 1. You can continue marking 3, 4, 5, 6, 7,.... on this line in this manner. As long as you stay on this line, you can go to any whole number. The number line for entire numbers is represented by this line.

Addition on a Number Line

On a number line, we make as many hops to the right as the number we want to add. Let's have a look at an example. To add 3 and 4, we start with 3 and make 4 hops to the right, resulting in number 7. As a result, the total of 3 and 4 equals 7.

Subtraction on a Number Line

To subtract numbers from a number line, we make the same number of hops to the left as the number to be subtracted. To subtract 5 from 7, we start with 7 and then move 5 units to the left, resulting in number 2. As a result, we obtain 7 - 5 = 2.

FAQs on RS Aggarwal Class 6 Solutions Chapter-3 Whole Numbers

1. What are some of the properties of Whole Numbers?

Listed below are the important properties of Whole Numbers:

Closure property - This property says that the result is always a whole number when you add or multiply two whole numbers. In other words, the system of whole numbers is closed under addition and multiplication
Addition and Multiplication of Whole Numbers are Commutative - If a and b are two whole numbers then:

a + b = b + a
a * b = b * a

Addition and Multiplication of Whole Numbers are Associative - If a, b and c are three whole numbers then:

(a + b) + c = a + (b + c)
(a * b) * c = a * (b * c)

Distributivity of multiplication over addition - If a, b and c are three whole numbers then:

a * (b + c) = (a * b) + (a * c)

2. How are whole numbers different from natural numbers?

The number 0 differentiates a collection of whole numbers from a collection of natural numbers. So

Whole numbers - 0, 1, 2, 3, 4, ….
Natural numbers - 1, 2, 3, 4, ….

3. What is called the additive identity for whole numbers?

The number 0 (zero) is called the additive identity or identity for addition of whole numbers. This is because by adding 0 to any whole number we get the same number i.e. 3 + 0 = 3, 5 + 0 = 5, etc.

4. What are the RS Aggarwal Class 6 Maths Chapter 3 Preparation Tips?

To get the basics down, go over the RS Aggarwal Solutions Class 6 Maths Chapter and solve predecessor and successor sums. Because the number line is such an essential concept in whole numbers, try to practice more sums that are dependent on number line operations, especially multiplication and division, which can be challenging. Keep a sheet of paper with significant features of whole numbers nearby so you may readily review and memorize them. These characteristics are critical for solving a variety of challenges.

5. What is the meaning of the number 0?

Everything begins at zero and ends at zero. You may not know the end, but you do know the beginning, which is zero. Zero is a non-negative integer that can be categorized as a whole number, a real number, or a fraction. It is neither an undercounting number, nor an odd, positive natural, or negative whole number, nor a complex number. It's difficult to divide zero into multiple groups. It may, however, be used in a variety of complex-number equations. To do well in these topics and other areas in this chapter, practice all of the problems relevant to them.

6. Is it possible to classify zero as a natural number?

In RS Aggarwal Class 6 Solutions Chapter-3 Whole Numbers Zero is a non-negative integer that is both a whole number and a real number. It is neither a complex number, nor is it a counting, odd, positive natural, or negative whole number. In many respects, categorizing zero is challenging. It may, however, be employed in a variety of complex-valued equations. You may acquire several modules and example papers relevant to these subjects from the Vedantu website as well as the Vedantu mobile app.

7. What do you mean by whole numbers?

A collection of numbers that includes all positive integers and 0 is known as a whole number. Whole numbers are fractions, decimals, and negative values that are not included in real numbers. Whole numbers include counting numerals as well. You will learn whole numbers and associated topics in this session. The number system in mathematics is made up of numerous sorts of numbers, such as natural numbers and whole numbers, prime numbers and composite numbers, integers, real numbers, and imaginary numbers, and so on, all of which are used to accomplish various computations.

8. Why is solving RS Aggarwal important?

NCERT (CBSE) Maths Exercise Book Solutions by RS Aggarwal Maths necessitates complete attention and concentration. To achieve success in a variety of professions Math is an essential topic, and students need strong information to do well in it. RS Aggarwal's math answer in pdf is a useful tool for students. Math takes a great deal of practice in order to understand the ideas. RS Aggarwal's math textbooks are excellent for this type of practice. It is critical to finish your curriculum while studying for the majority of tests. Another crucial aspect is making the most use of your time. Exam preparation should begin early in order to ensure that you have many opportunities to review your material.