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MathNet 2018-part-07 — 177 problems (EN–VI) Question 106

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 106

What is the 3-digit number formed by the $9998^{\text{th}}$ through $10000^{\text{th}}$ digits after the decimal point in the decimal expansion of $\frac{1}{998}$?

Note: Make sure your answer has exactly three digits, so please include any leading zeroes if necessary.