Without actually performing the long division state whether the following rational numbers will have a terminating decimal expansion or a non terminating repeating decimal expansion. 64÷455full answers in photo
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denominator is 455
prime factorisation of 455
= 5*7*13
prime factorisation of 64
= 2*2*2*2*2*2
hence, there is nothing in numerator which may cancel out such factors of denominators which are not 2 or 5. thus factors like 7 and 13 remain in denominator due to which the fraction will be non-terminating recurring decimal expression
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