Question

State true or false:
Every whole number is a natural number.
A. True
B. False

Answer 1

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 to 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 solution:
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.
We can see 0 is the whole number but not the natural number.
Now, we can say a natural number contains all whole numbers except zero (0). So, natural numbers cannot contain all whole numbers.
It is false every whole number is a natural number.
So, the correct option is (B).

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 natural numbers that cannot contain all whole numbers.