State whether the following statement is true or not. Give reasons for your answer. Every natural number is a whole number. A) True B) False
Hint- In this particular type of question we need to understand the basic definition of natural numbers and whole numbers and use the information to check whether the above statement is true or not and provide reasons for our answer.
Complete step-by-step answer: Natural numbers (N) = Integers from 1 to $\infty $ Whole numbers (W) = Integers from 0 to $\infty $ Hence, every natural number is a whole number. To understand this you have to understand what is natural and whole numbers. Natural numbers are numbers which exist naturally such as 10 people, 100 apples, 2 men, etc. As we can count them it is called counting numbers. Natural numbers should not be in fractions so it should be whole numbers. That's why all natural numbers are whole numbers. Example 1,2,3,4…till infinity. On the other hand, Whole numbers are those numbers which are complete in itself like 1,2,3…..till infinity. Then what is the difference between them? The only difference is that the whole number includes ‘0’. As zero is complete in itself but it doesn't occur naturally hence zero cannot be a natural number but a whole number.
Note- Remember to recall the basic definition of natural number and whole number. Note that every natural number is a whole number, but the reverse is not true i.e. every whole number is not a natural number as 0 is outside the set of all natural numbers.