Numbers cannot be rational and irrational at the same time.
No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.
The product of an irrational number and a rational number, both nonzero, is always irrational
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
Yes, always.
Whole numbers are always rational
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
Such a sum is always rational.
They are always rational.
In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.
They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.
It is always an irrational number.
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions
Real numbers can be rational or irrational because they both form the number line.
The product of two rational numbers is always a rational number.
Numbers cannot be rational and irrational at the same time.
No. If x is irrational, then x/x = 1 is rational.