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Whole numbers are a basic part of our number system. They include numbers that are not fractions or decimals. Whole numbers start from 0 and go up to infinity. Examples of whole numbers include 0, 1, 2, 3, and so on. These numbers are easy to understand and are used in everyday counting and simple arithmetic.
Whole numbers are used in various real-life scenarios like counting objects, measuring quantities, and performing basic calculations. For instance, when you count the number of apples in a basket or the number of students in a classroom, you are using whole numbers.

Whole numbers do not include negative numbers or any numbers with fractions or decimal points. Hence, -1, 1.5, and 2.75 are not whole numbers because they either have a negative sign or fractions/decimals.

• Whole numbers: 0, 1, 2, 3, 4, ...
• Not whole numbers: -1, 1.5, 2.75

Positive and negative numbers are part of the set of integers. Positive numbers are greater than zero, and they are written without any sign, like 1, 2, 3, etc.

Negative numbers are less than zero and have a minus sign before them, like -1, -2, -3, etc. These numbers are often used in real-life situations to represent values that are below a certain reference point. For instance, temperatures below freezing, debt in financial contexts, and elevations below sea level are all represented by negative numbers.

It is important to note that zero (0) is neither positive nor negative. It acts as the neutral point in the number line separating positive numbers from negative numbers.

• Examples of positive numbers: 1, 2, 3, 4, ...
• Examples of negative numbers: -1, -2, -3, -4, ...
• Zero (0) is considered neither positive nor negative.

Numbers can be classified into different categories based on their properties. The major classifications of numbers include:

1. Natural Numbers: These are the numbers used for counting and start from 1, 2, 3, and so on.

2. Whole Numbers: This set includes all natural numbers plus zero (0). For example, 0, 1, 2, 3, etc.

3. Integers: Integers include all whole numbers and their negative counterparts. For instance, -3, -2, -1, 0, 1, 2, 3, etc.

• Positive integers: 1, 2, 3, ...
• Negative integers: -1, -2, -3, ...

4. Rational Numbers: These are numbers that can be expressed as a fraction of two integers. For example, 1/2, 3/4, 5/1, etc.

5. Irrational Numbers: Numbers that cannot be expressed as simple fractions. Their decimal forms are non-repeating and non-terminating, like \(\sqrt{2}\) and \(\pi\).

6. Real Numbers: The set of real numbers includes all rational and irrational numbers. They can be positive, negative, or zero.

• Examples: -3, -1, 0, 2.5, \(\sqrt{2}\)