Every rational number is a whole number? True or false, also give a reason for your answer.
A rational number can be written in the form of p/q, where p and q can be any integers but 'q' cannot be zero.
Answer: Every rational number is not a whole number.
Let's find out whether every rational number is a whole number.
Explanation:
Let us understand through examples as to why all rational numbers cannot be whole numbers.
A rational number is a number that can be expressed in the form of p/q, where q must not be 0.
Example 1: Number 3 can be expressed as 3/1
Therefore, 3 is a 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.
Thus, every rational number is not a whole number. Hence, the given statement is false.
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