Yes, for example 3/2 can be written as 1.5. All rational numbers have either a decimal expression of finite length or a repetitive pattern, unlike an irrational number, which goes on for ever when written in decimal form, never repeating.
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No, any repeating decimal digit is a rational number. It only states that it is non-terminating decimal. It is rational.
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.
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.
A terminating decimal or a decimal that, after a finite number of digits, settles into a repeating pattern (known as a recurring decimal). This need not happen straight after the decimal point.
A recurring decimal.