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Yes; by the definition of an irrational number (a number with an infinite amount of changing decimal digits as the number grows minutely larger), the converse is true about rational numbers
a rational number like (1/3) [0.33333333...] can be notated with a bar over any of the digits to notate a repeating decimal digit.
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Can a rational number be written in a decimal?
Yes, all rational numbers can be written as decimal numbers.
Why not all the decimal numbers can be written as rational numbers?
Decimal numbers that can be expressed as fractions are rational but decimal numbers that can't be expressed as factions are irrational
Are all terminating and decimals rational numbers?
All terminating decimal numbers are rational.
Do rational numbers have a repeating decimal?
They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.
Is every rational number a decimal number?
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.
