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You cannot. There is no way to determine if the number has or has not been rounded and so no way to determine if the number is a terminating, repeating or other form of decimal number. Without that information you cannot tell if it is rational.

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Q: When a number is written in decimal and acirc and 128 and 139 form how do we know if the number is a rational and acirc and 128 and 139 number?
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