It is rational.
A rational number is one that can be expressed as one integer over another (p/q) where the bottom number q is not zero.
Particularly the bottom number q can be 1, that is p/1 are rational numbers.
But any number divided by 1 is the number itself, that is p/1 = p where p is any integer
0 is an integer, thus 0 is a rational number.
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
No number can be both rational and irrational. And, at the level that you must be for you to need to ask that question, a number must be either rational or irrational (ie not neither). 0.555555 is rational.
Neither. It is an imaginary number.
If it ends there, it is rational. If the "68" continues on and on, it is also rational.
Irrational* * * * *No.The number can be represented by a terminating decimal so it is rational.A number cannot be both rational and irrational. And unless you are into higher maths (and if you are, the distinction between rationals and irrationals will be child's play) there are none that are neither rational nor irrational. So, for your purposes, they must be one or the other but cannot be both.Even if it is an infinite decimal, with 6868 going on for ever, it is rational.
Neither. It is not defined.
Zero (0) is a rational number, because it is a whole number and an integer.
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
No number can be both rational and irrational. And, at the level that you must be for you to need to ask that question, a number must be either rational or irrational (ie not neither). 0.555555 is rational.
Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.
If it can't be expressed as a fraction then it is an irrational number
Such a product is always irrational - unless the rational number happens to be zero.
Neither, it is an imaginary number and imaginary numbers are neither rational nor irrational.
Unless the rational number is zero, the answer is irrational.
No, but the only exception is if the rational number is zero.
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Let q be a non-zero rational and x be an irrational number.Suppose q*x = p where p is rational. Then x = p/q. Then, since the set of rational numbers is closed under division (by non-zero numbers), p/q is rational. But that means that x is rational, which contradicts x being irrational. Therefore the supposition that q*x is rational must be false ie the product of a non-zero rational and an irrational cannot be rational.