NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers are a comprehensive study material for students preparing for the Class 6 Mathematics exam
The chapter starts with the introduction of the predecessor and successor followed by the concept of whole numbers.
- If you add 1 to a natural number, we get its successor. If you subtract 1 from a natural number, you get its predecessor.
- Every natural number has a successor.
- Every natural number except 1 has a predecessor.
- Every whole number has a successor.
- Every whole number except zero has a predecessor.
- All natural numbers are whole numbers, but all whole numbers are not natural numbers.
The topic number line is discussed in detail along with the operations like addition, subtraction and multiplication that can be performed on them.
This is followed by Properties of whole numbers. Various properties associated with whole numbers are explained in this chapter with examples.
- Closure property
- Division of a whole number by 0 is not defined.
- Commutativity of addition and multiplication
- Associativity of addition and multiplication
- Distributivity of multiplication over addition
- Zero is called an identity for addition of whole numbers or additive identity for whole numbers.
- Whole number 1 is the identity for multiplication of whole numbers.
Introduction: In this section, we will provide an overview of whole numbers, explaining their definition and importance. We’ll emphasize that whole numbers are non-negative integers and serve as the foundation of mathematical operations. This introduction will set the stage for the rest of the blog post.
Characteristics of Whole Numbers: Here, we’ll delve into the key properties and characteristics of whole numbers. We’ll discuss how they are closed under addition, subtraction, and multiplication, meaning that performing these operations with whole numbers always results in another whole number. Additionally, we’ll highlight that whole numbers have no fractional or decimal parts, and they can be either positive or zero.
Examples of Whole Numbers: In this section, we’ll provide a range of examples to illustrate the concept of whole numbers. Starting with simple cases such as 0, 1, and 2, we’ll gradually introduce larger numbers to demonstrate that any positive integer can be considered a whole number. These examples will help readers grasp the idea more concretely.
Whole Numbers vs. Natural Numbers: Here, we’ll draw a distinction between whole numbers and natural numbers. We’ll explain that natural numbers include all positive integers but exclude zero, while whole numbers encompass both positive integers and zero. By clarifying this difference, readers will have a better understanding of how whole numbers fit within the broader number system.
Importance of Whole Numbers: In this section, we’ll explore the significance of whole numbers in various contexts. We’ll discuss how they are used in everyday life, such as in counting objects, measuring quantities, and performing basic calculations. Additionally, we’ll highlight their importance in fields like finance, statistics, and computer programming. By providing practical examples, we’ll showcase the relevance of whole numbers in different domains.
Operations with Whole Numbers: Here, we’ll explain the fundamental operations that can be performed with whole numbers. We’ll cover addition, subtraction, multiplication, and division, providing simple examples for each operation. By demonstrating how these operations work with whole numbers, readers will gain a practical understanding of how to manipulate and work with them.
Real-World Applications: In this final section, we’ll explore real-world applications where whole numbers find use. We’ll discuss how they are employed in finance, statistics, computer programming, and other fields. By presenting specific examples of how whole numbers are utilized in these contexts, readers will appreciate the practical value of understanding and working with them.
These explanations provide an overview of the content and structure of each section within the blog post.