Yes, it is true.
It is a rational number.
Yes. The rational numbers are a closed set with respect to subtraction.
true
True.
No, it is always true
It will be rational.
No, it is always true
sometimes true (when the rational numbers are the same)
The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.
Sometimes true.
Yes, that's true.
In any case, being the product of two rational numbers, it will also be rational. It can either be another mixed number, or it may happen to be an integer.
sometimes true
It is always true.
Yes, it is true.
That's a true statement. Another true statement is: All integers are rational numbers.