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  • Without actual division show that each of the Following rational numbers is a non terminating repeating decimal.i)17/90

Without actual division show that each of the Following rational numbers is a non terminating repeating decimal.i)17/90

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eginarraylfrac1790 extis not a terminating decimal.\ extDenominator of frac1790 extis 90.\ extand 90=2 imes5 imes3^2\ extThus, 90 has a prime factor 3,which is other than 2 and 5.\ extTherefore, frac1790 extis not a terminating decimal.endarray

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Deependra Verma

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