Question

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

Answer 1

The correct response is: It is always possible to find a rational number between any two rational numbers.

For any two rational numbers, \( a \) and \( b \) (where \( a < b \)), you can find a rational number between them by taking the average, \( \frac{a + b}{2} \). This method shows that there are infinitely many rational numbers that can be found between any two given rational numbers, regardless of their specific values or whether they are positive or integers.