When is it possible to find a rational number between two given rational numbers?(1 point)

Question

Responses

It is possible only when the difference between the two given numbers is at least 0.00001.
It is possible only when the difference between the two given numbers is at least 0.00001.

It is always possible to find a rational number between any two rational numbers.
It is always possible to find a rational number between any two rational numbers.

It is possible only when the two given numbers are integers.
It is possible only when the two given numbers are integers.

It is possible only when the two given numbers are positive.

Answer 1

The correct response is:

It is always possible to find a rational number between any two rational numbers.

This is based on the property of rational numbers that states between any two distinct rational numbers, you can always find another rational number. For example, if you have two rational numbers $a$ and $b$ (with $a<b$), you can find a rational number between them by calculating $\frac{a+b}{2}$, which will be a rational number that lies between $a$ and $b$.