Decimal numbers that can be expressed as fractions are rational but decimal numbers that can't be expressed as factions are irrational
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Yes, all rational numbers can be written as decimal numbers.
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.
All real numbers have a decimal representation. Rational numbers have decimal representations that terminate or repeat infinitely. Irrational numbers have decimal representations that are non-terminating and non-repeating.
Yes.