When is it possible to find a rational number between two given rational numbers?(1 point) Responses 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 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 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. It is possible only when the two given numbers are positive.
1 answer
The correct response is: It is always possible to find a rational number between any two rational numbers.
This is true regardless of whether the two rational numbers are integers, positive, or have a difference of a certain size. For any two distinct rational numbers \(a\) and \(b\), you can find a rational number between them by calculating \(\frac{a + b}{2}\), which is the average of the two numbers.
