Question

Which of the following option is true for the belongingness of the sum of two distinct whole numbers always?

• A. $0$
• B. Natural number
• C. Negative integer
• D. None of the above

Answer 1

The correct option is B Natural number

Set of whole numbers $=\text{{}0,1,2,3,4,...\text{}}$

Let's find out the sum of two distinct whole numbers.
For example: $0+1=1,0+2=2,1+2=3,$
where the sums of two distinct whole numbers produce $1$, $2$ and $3$, which are natural numbers.

Hence, we can conclude that the sum of two distinct whole numbers is always a natural number.

$\therefore$ Option (b.) is the correct choice.

$\underset{–}{\text{Notes:}}$

$\bullet$ The sum of non-distinct whole numbers may or may not belong to the set of natural numbers.

As an example, $0+0=0,$ which does not belong to the set of natural numbers. Whereas $5+5=10$ belong to the set of natural numbers.

$\bullet \bullet$ The sum of distinct or non-distinct whole numbers belongs to the set of whole numbers always.