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A student claims that \(0.10110111011110\ldots\), where blocks of 1s have lengths 1, 2, 3, 4, ... and are separated by 0s, is rational because it is written in decimal form. What is the error in the claim?
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SubjectsA student claims that \(0.10110111011110\ldots\), where blocks of 1s have lengths 1, 2, 3, 4, ... and are separated by 0s, is rational because it is written in decimal form. What is the error in the claim?