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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.

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8y ago
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11y ago

== == No. The set of rationals and the set of irrationals are disjoint sets.

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Kristine Joy S Vega

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Q: Can a number be both rational and irrational?
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Related questions

Are there numbers that are both rational and irrational?

No, no number can be both rational and irrational.


When you multiply an irrational number by a rational number will the answer always be irrational rational or both?

It will be irrational.


Is three an irrational number rational number both rational and irrational or neither rational or irrational?

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.


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It is rational.A number cannot be both rational and irrational.


Is the number below rational irrational both rational and irrational or neither rational nor irrational?

If it can't be expressed as a fraction then it is an irrational number


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.


Is the number 3 rational irrational both rational and irrational or neither rational?

The number 3 is a rational number (as is any integer).


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.


Can you multiply an irrational number by a rational number and the answer is rational?

The product of an irrational number and a rational number, both nonzero, is always irrational


A number exists that is both a rational and irrational?

No. Irrational means "not rational". A number either is rational, or it is not rational - tercium non datur.


Is -34 both rational and irrational?

-34 is a rational number


Can rational numbers be irrational numbers?

No, they are two separate groups of numbers. A number is either rational or irrational, never both.