Question

State whether the statement given in the question is true or False:

Every natural number is a rational number but every rational number need not be a natural number.

• A. True
• B. False

Answer 1

The correct option is A True

Given the statement, “Every natural number is a rational number but every rational number need not be a natural number.”

Since Natural Numbers and Rational Numbers do not have the same properties, every Natural Number is also a Rational Number. When it comes to a rational number that might or might not be a natural number, there is no such thing as it. We are aware that $1=\frac{1}{1},2=\frac{2}{1}$, etc.
The quotient of two integers could be expressed as a natural number, $n=\frac{n}{1}$. As a result, any natural number is a rational number. On the other hand, $\frac{5}{2},\frac{3}{5},\frac{2}{7},\frac{4}{20}$, etc, all Rational Numbers aren’t natural numbers.

Hence, the given statement is “True”.