Whole Numbers | Definition, Examples, Full Explanation

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About Whole Numbers

We use counting numbers in our daily lives, such as 1, 2, 3,…..and so on. Thus, Whole numbers are all of the basic counting numbers plus 0. Zero is the smallest whole number. In whole numbers, 0 has no predecessor or preceding number. There is no such thing as the ‘largest’ whole number.
Negative numbers, decimals, and fractions are not whole numbers.

 whole-numbers-definition

Whole Number Symbol

The alphabet ‘W’ in capital letters is used to represent whole numbers.

W = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,…}

As a result, the total number list includes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,….
Remember:
1. Real numbers include all whole numbers.
2. All natural numbers are whole numbers, but not the other way around.
3. Positive integers, including zero, are all whole numbers.

Examples

Whole numbers are a collection of all the basic counting numbers and 0. It starts from 0 till Infinity. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10…

Whole Numbers on Number Line

These numbers are easily visible on a number line because the number line, in general, represents integers from – to +, and whole numbers are positive integers, including 0. A number line shows that the integers on the right side of 0 including 0 are all whole numbers, while the integers on the right side of 0 excluding 0 are all natural numbers. This graphic representation is the most effective way to demonstrate that all natural numbers are whole numbers but not vice versa.

Whole Number On Number Line

Video Explanation

FAQ: Whole Numbers
Q1: Why 0 is a whole number?

Ans. Zero is not a fraction or decimal of any number. It is neither positive nor negative. The rule of whole numbers applies to zero.

Q2. What are the first nine whole numbers?

Ans. First nine whole numbers are >> W= (0, 1, 2, 3, 4, 5, 6, 7, 8)

Q3. What is the smallest whole number?

Ans. Smallest Whole Number is Zero.

Want to know about Real numbers, then please check this article – Real Numbers Definition

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