Math, asked by anurag164, 1 year ago

write whether the rational number 7 by 75 will have a terminating expansion or a non terminating repeting

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Answered by Prathamattri2062
3
It will have a non-terminating repeating decimal expansion because factors of its denominator are
5^2*3
but we know that for any rational no. to have a terminating decimal expansion the factors of denominator must only have 2^m*5^n factors where m and n are two different positive integers
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