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Without actual division find out if 13/125 is rational or irrational. |
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Answer» RationalStep-by-step explanation:Given Check whether 13/125 is terminating or non terminating repeating decimal without performing actual division Without actually performing division we need to find whether the given RATIONAL number is terminating or not. So p/q will be terminating if p and q are co – prime and q is of the form 2^n 5^m where m and n are non-negative NUMBERS. First checking whether they are co-prime. 13 and 125 do not have common factors and hence they are co – prime. Now factors of denominator will be 5 x 5 x 5 = 5^3 We can write this as 1 x 5^3 = 2^0 x 5^3 So denominator is of the form 2^n 5^m where n = 0 and m = 3 so 13 / 125 = 0.104 and it is a terminating decimal.So, 13/125 is rational.Hope it helps... Please MARK as the Brainliest!!! |
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