1.

without actually performing the long division the rational number will have a reanimating decimal expansion or a non terminating repeating decimal expansion

Answer»

We have to do PRIME factorization of the denominator if its factors include only 2 and 5 then it is EITHER terminating decimal or NON terminating reoccurring decimal.

And if it has factors other than 2 and 5 then it is non terminating non reoccurring decimal i.e. it is IRRATIONAL number.

Hope this will HELP you....



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