Final answer:
There is an infinite number of rational numbers between 0.78 and 0.79, such as 0.781, 0.782, and 0.783, up to 0.789.
Step-by-step explanation:
The rational numbers which lie between 0.78 and 0.79 are all the fractions and decimal numbers that are greater than 0.78 but less than 0.79. An example of such a rational number could be 0.781, 0.782, 0.783, etc.
These numbers are infinitely many because between any two numbers there are an infinite amount of rational numbers.
Since the question seeks specific examples, you could list numbers with successive thousandths such as 0.781, 0.782, 0.783, all the way up to 0.789.