Question

0 is whole number but it is not a rational number.

State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

Explanation of the given statement.

The set of natural numbers is the set of all counting numbers, i.e., $\left\{1,2,3·····\right\}$

All the natural numbers and 0 forms the set of all whole numbers.

Rational numbers are those numbers which can be expressed in the form $\frac{a}{b}$ where $b\ne 0$, and $a,b$ are real numbers.

0 belongs to the set of whole numbers, and also 0 can be expressed in $\frac{a}{b}$ form as $\frac{0}{1},\frac{0}{2}$ etc.

Therefore, 0 is both a whole number and a rational number.

Hence, the given statement is false.