It is an irrational number.
Actually it is a rational number. Think 2/3=.6666666, 1/9=.11111111.
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A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.
No, any repeating decimal digit is a rational number. It only states that it is non-terminating decimal. It is rational.
Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.
A terminating or repeating decimal is rational. .333333...=1/3 5.09090909=509090909/100000000
Yes. Any number that can be expressed as a finite or repeating decimal is a rational number. Irrational numbers have decimal expansions that neither repeat nor terminate.