Oh, isn't that a lovely number, 7.885? It sure is a rational number because it can be expressed as a fraction where the numerator and denominator are both integers. Just like painting a happy little tree, rational numbers can be expressed neatly and precisely.
yes
Yes.
yes
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Yes. Any rational number divided by another rational number is also rational.