No. Either they have a finite number of decimals, or they repeat.
Examples: 1/4 = 0.25
1/3 = 0.333...
1/7 = 0.142857142857...
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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.
ANY number with a finite amount of decimal digits is rational.
Any number with a finite number of decimal digits 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.
Yes, all rational numbers can be written as decimal numbers.