Every rational number is a whole number? true or false, also give reason of your answer.
A rational number can be written as of p/q form where p and q are any integers but q can't be zero.
Answer: Every rational number is a whole number is a False statement.
Let's find out whether every rational number is a whole number.
Let's understand through examples that why all rational numbers cannot be whole numbers.
Definition of a rational number is that a number which can be expressed in p/q form where q must not be 0 is a rational number.
Example 1: Number 3 can be expressed as 3/1
Therefore 3 is rational number as well as a whole number.
Example 2: Number 3.5 can be expressed as 7/2
So in this case 3.5 is a rational number because it can be expressed as 7/2. But it is not a whole number as it is a decimal number.
So, a rational number may or may not be a whole number but every whole number is a rational number.