Question

The difference of two rational numbers is an irrational number. Is the statement true or false?

Answer 1

The difference between the two rational numbers results in a rational number.

A rational number is a number that can be express as a fraction.

Hence the final is FALSE

$\begin{gathered} Forexample2.5\text{ is a rational numner = }\frac{5}{2} \\ 3.1\text{ is a rational number = }\frac{31}{10} \\ Therefore,\text{ = }\frac{31}{10}\text{ - }\frac{5}{2} \\ =\text{ }\frac{31\text{ - 25}}{10} \\ =\text{ }\frac{6}{10} \end{gathered}$

So, the difference between two rational numbers results in a rational number.