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Difference between Natural numbers and Whole Numbers

May 8, 2023
written by Azhar Ejaz

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.

Showing image of 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 NumbersWhole Numbers
Includes all positive integers from 1 to NIncludes all non-negative integers from 0 to N
Does not include zero or negative numbersIncludes zero, but not negative numbers
Denoted by the symbol  ℕDenoted 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 setUsed for counting objects or elements in a set, including zero
Addition, subtraction, multiplication, and division are closed operationsAddition, subtraction, multiplication, and division are closed operations

10 Differences between Natural and Whole Numbers

  1. Natural numbers are a set of positive integers starting from 1 and going infinitely upwards.
  2.  Example: 1, 2, 3, 4, 5…
  3.  Whole numbers are a set of natural numbers and zero.
  4.  Example: 0, 1, 2, 3, 4…
  5.           The notation used to represent natural numbers is the letter “N”.
  6. The letter “W” is used to represent whole numbers.
  7. Natural numbers start from 1.
  8. Whole Numbers start from 0
  9. It can be said that all natural numbers are also considered as whole numbers.
  10. It can be said that not all whole numbers are considered natural numbers