Difference between Natural numbers and Whole Numbers
The key difference between Natural and Whole numbers is, Natural numbers include all positive integers from 1 to N, where N can be any positive integer. If we include 0 in the set of natural numbers, then the resulting set is called whole numbers.
Natural Numbers Vs Whole Numbers
|Natural Numbers||Whole Numbers|
|Includes all positive integers from 1 to N||Includes all non-negative integers from 0 to N|
|Does not include zero or negative numbers||Includes zero, but not negative numbers|
|Denoted by the symbol ℕ||Denoted by the symbol W|
|Examples: 1, 2, 3, 4, 5, 6, 7, 8, 9…||Examples: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9…|
|Used for counting objects or elements in a set||Used for counting objects or elements in a set, including zero|
|Addition, subtraction, multiplication, and division are closed operations||Addition, subtraction, multiplication, and division are closed operations|
10 Differences between Natural and Whole Numbers
- Natural numbers are a set of positive integers starting from 1 and going infinitely upwards.
- Example: 1, 2, 3, 4, 5…
- Whole numbers are a set of natural numbers and zero.
- Example: 0, 1, 2, 3, 4…
- The notation used to represent natural numbers is the letter “N”.
- The letter “W” is used to represent whole numbers.
- Natural numbers start from 1.
- Whole Numbers start from 0
- It can be said that all natural numbers are also considered as whole numbers.
- It can be said that not all whole numbers are considered natural numbers