olymmath

HMMT November 2018 U28

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What is the 3 -digit number formed by the 9998th 9998^{\text {th }} through 10000th 10000^{\text {th }} digits after the decimal point in the decimal expansion of 1998\frac{1}{998} ? Note: Make sure your answer has exactly three digits, so please include any leading zeroes if necessary.

Dataset text NuminaMath olympiads. Quoted with source.

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