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A classmate says that 0.285714 (all the numbers have the repeating bar over them) is not a rational number because it does not terminate. Explain her error.
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A classmate says that 0.285714 (all the numbers have the repeating bar over them) is not a rational number because it does not terminate. Explain her error.

User Nofi
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Since
(2)/(7) = 0.\overline{285614}, where the "285614" portion repeats forever, this means that we can write
0.\overline{285614} as a ratio of two whole numbers. So
0.\overline{285614} is a rational number
User Jose Llausas
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