Yes.
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Yes, they are.
The rational numbers
Not at all. 0.33333... nonterminating = 1/3 rational 0.66666... nonterminating = 2/3 rational 0.1428571428... nonterminating = 1/7 rational 0.55555... nonterminating = 5/9 rational
All terminating decimal numbers are rational.
They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.