Question & Answer
QUESTION

State true or false:
Every natural number is a whole number.
$
  \left( A \right){\text{True}} \\
  \left( B \right){\text{False}} \\
$

ANSWER Verified Verified
Hint: In this question, we use the definition of natural and whole numbers. Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity. It is an integer which is always greater than 0. Whole numbers are the part of the number system in which it includes all the positive integers from 0 to infinity.

Complete step-by-step answer:

Now, the natural number contains all positive integers starting from 1 to infinity.
Natural numbers are 1, 2, 3, 4, 5…………….. and so on.

Now, whole numbers contain all positive integers starting from 0 to infinity.
Whole number is 0, 1, 2, 3, 4, 5……………… and so on.

Now, we can say the whole number contains 0 and all natural numbers and also say the natural number is a subset of the whole number.

It is true every natural number is a whole number.

So, the correct option is (A).

Note: In such types of problems we have to follow the definition of natural and whole numbers and write the range of natural and whole numbers as written above then observe the all numbers of natural numbers and whole numbers. So, we can easily identify the whole number containing all natural numbers.