AMC 10 Step by Step
2020 AMC 10BProblem 12P11-15~4 minPrint

The decimal representation of 12020\frac{1}{20^{20}} consists of a string of zeros after the decimal point, followed by a 99 and then several more digits. How many zeros are in that initial string of zeros after the decimal point?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.