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Is decimal a rational number?
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
If it doesn if a decimal doesn't terminate or repeat is it still a rational number or not?
No, if a decimal does not terminate or repeat, it is not a rational number. Rational numbers can be expressed as a ratio of two integers, and their decimal representation either terminates or repeats after a certain point. Decimals that do not have a pattern and continue indefinitely are considered irrational numbers.
What are the difference between decimal in rational and decimal in irrational?
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
What can you say about the decimal expansion of any rational number?
If its a rational number then its decimal equivalent can be expressed as a fraction
Why every rational number can be represented by either a terminating decimal or a repeating decimal?
That is the definition of a rational number.
