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
Yes. Any rational number divided by another rational number is also rational.
It is rational number.
Rational. A rational number, z, is any number that can represented in the formx/y = z
3.3333
No, it is not.
Yes, it does.
9.3 is a rational number, as it can be expressed as a fraction.
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
7.6 is a rational number. Any number that can be expressed as a/b is rational.
The square root of 29 is an irrational number.
The number 0.444444 is a rational number. It is equivalent to 111111/250000, which, by definition of rational numbers, is rational. The number 0.444... (repeating) is also rational because it can be represented by the fraction 4/9. The number 0.444444 is a rational number because a rational number is a nnumber that can be expressed in the form of a fraction.
The product of an irrational number and a rational number, both nonzero, is always irrational
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).