Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purposes. It does not include zero (0). In fact, 1,2,3,4,5,6,7,8,9…., are also called counting numbers. They are part of real numbers, that include only the positive integers i.e. 1, 2, 3, 4,5,6,7,8,9,10 ………. excluding zero, fractions, decimals, and negative numbers.
Note: They don’t include negative numbers or zero.
Definition of Natural Number
These are the numbers that are positive integers and includes numbers from 1 till infinity(∞). These numbers are countable and are generally used for calculation purposes. All numbers are represented by the letter “N”.
N = {1,2,3,4,5,6,7,8,9,10…….}
Natural and Whole Numbers
They include all the whole numbers excluding the number 0.
- Natural Number = {1,2,3,4,5,6,7,8,9,10,11,12,13,14…..}
- Whole Numbers = {0,1,2,3,4,5,7,8,9,….}
The above representation of sets shows two regions. A ∩ B i.e. intersection of natural number and whole numbers (1, 2, 3, 4, 5, 6, ……..) and the green region showing A-B, i.e. part of the whole number (0).
Thus, a whole number is “a part of Integers consisting of all the natural number including 0.”
Is ‘0’ a Natural Number?
The answer to this question is ‘No’. As we know already, They start at 1 to infinity and are positive integers. But when we combine 0 with a positive integer such as 10, 20, etc. it becomes a natural number. In fact, 0 is a whole number that has a null value.
Difference Between Natural and Whole Numbers
Natural Number | Whole Numbers | |
They are defined as the basic counting numbers. The natural number in set notation is {1, 2, 3, 4, 5, …..} | They defined as the set of natural numbers, and it started with zero. The whole numbers in set notation is {0,1, 2, 3, 4, 5, ….} | |
They represented using the letter “N” | Whole Numbers are represented using the letter “W”. | |
Counting number starts from 1 | Counting number starts from 0 | |
We can say that all the natural number is considered as whole numbers | We can say that all the whole numbers are not considered natural numbers. |