# Difference between Natural numbers and Whole Numbers

May 8, 2023

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

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