Question

Give one example each to the following statements.
A whole number which is not a natural number

Answer 1

Hint: We use the definition of whole numbers and natural numbers and find a number from a set of whole numbers which is not a natural number.
* Natural numbers and whole numbers are both parts of the number system.

Complete step-by-step solution:
We have to find such a number that it is a whole number but not a whole number.
We write definitions of whole numbers and natural numbers separately.
WHOLE NUMBERS:
Whole numbers are a part of a number system that contains 0 and all positive integers. The set of whole numbers consists of all natural numbers.
Whole numbers are: 0, 1, 2, 3, 4, 5, 6…..
NATURAL NUMBERS:
Natural numbers are that part of the number system that contains all positive integers. 0 is not a part of natural numbers.
Natural numbers are: 1, 2, 3, 4, 5, 6…..
By carefully observing the set of whole numbers and the set of natural numbers we see that ‘0’ is the only number that exists in the set of whole numbers but does not exist in the set of natural numbers.
\[ \Rightarrow \]0 is a whole number which is not a natural number

\[\therefore \]Example of a whole number that is not a natural number is ‘0’

Note: Many students get confused between a set of integers and a set of natural numbers and end up giving examples of negative integers. Keep in mind that a set of negative integers contains negative numbers, 0 and positive numbers but sets of natural numbers only consist of positive numbers or positive integers.