When is it possible to find a rational number between two given rational numbers?(1 point) Responses It is possible only when the two given numbers are positive. It is possible only when the two given numbers are positive. 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 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.
1 answer
The correct response is: It is always possible to find a rational number between any two rational numbers.
Given any two rational numbers \( a \) and \( b \) where \( a < b \), you can always find a rational number between them. One simple way to find such a number is to take the average:
\[ \frac{a + b}{2} \]
This average will always be a rational number that lies between \( a \) and \( b \).
