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comparing numbers with decimal points (Croatia 1998 1st Grade P1)

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June 7, 2021
algebra

Problem Statement

Which number is greater: A=2.00…041.00…042+2.00…04, or B=2.00…021.00…022+2.00…02,A=\frac{2.00\ldots04}{1.00\ldots04^2+2.00\ldots04},\text{ or }B=\frac{2.00\ldots02}{1.00\ldots02^2+2.00\ldots02},where each of the numbers above contains 19981998 zeros?
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