the decimal expansion of the rotation number
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The decimal expansion of a number is its representation in base-10 (i.e., in the decimal system). In this system, each "decimal place" consists of a digit 0-9 arranged such that each digit is multiplied by a power of 10, decreasing from left to right, and with a decimal place indicating the s place.
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A rational number has either a terminating decimal expansion or a non- terminating recurring decimal expansion.
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