answersLogoWhite

0

Yes. A number can be either rational or irrational, but never both; otherwise there would be an inherent contradiction.

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra

Add your answer:

Earn +20 pts
Q: Is a number either rational or irrational but not both?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

What is a rational number number which is not a rational number?

There is no such thing as a number that is both rational and irrational. By definition, every number is either rational or irrational.


Is 0.555555 both rational and irrational rational neither rational nor irrational irrational?

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.


Which is a real number that is not a rational number?

Actually there are more irrational numbers than rational numbers. Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number. The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.


Are real numbers rational and irrational?

The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.


Can a number be both rational and irrational?

No.The definition of a rational number is a number that can be written as the quotient of two integers (and the divisor is not zero).The definition of an irrational number is a real number that cannot be written as the quotient of two integers (and the divisor is not zero).A number can either be written as the quotient of two integers or it can't. One or the other.A number cannot be both rational and irrational.