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Any real number is either rational or irrational. The rational ones are the ones that can be written in the form a/b where and b are integers and b does not equal 0. The irrational ones are all the other ones.
If you expand your domain to include numbers other than the real numbers, like the imaginary numbers for example, there is no definition of "rational" or "irrational" for the non-real numbers.
Zero is a rational number since it can be written as 0/1 and both 0 and 1 are integers.
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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 square root of -57 rational or irrational?
Neither. It is an imaginary number.
Is 0.686868 rational irrational both rational and irrational or neither rational nor irrational?
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.
Is the square root of negative 100 a rational number or an irrational number?
It is neither, it is an imaginary number.
Is 1 an irrational number?
No. An irrational number is a number that neither terminates nor repeats. Since 1 terminates, it is called a rationalnumber.No. An irrational number is a number that is not rational. Rational numbers are those who can be defined as the division of two integer numbers. As 1 is 1/1, it is a rational number, so, it's not irrational.
