Which of the following rational numbers have terminating decimal a)7/2

1.	Which of the following rational numbers have terminating decimal a)7/250b)16/225 c)5/18 d)2/21
Answer» (i) We have,Theorem states:\xa0Let\xa0be a rational number, such that the prime factorization of\xa0q\xa0is not of the form, where\xa0m\xa0and\xa0n\xa0are non-negative integers.Then,\xa0x\xa0has a decimal expression which does not have terminating decimal.(ii) We have,Theorem states:\xa0Let\xa0be a rational number, such that the prime factorization of\xa0q\xa0is not of the form, where\xa0m\xa0and\xa0n\xa0are non-negative integers.Then,\xa0x\xa0has a decimal expression which does not have terminating decimal.(iii) We have,Theorem states:\xa0Let\xa0be a rational number, such that the prime factorization of\xa0q\xa0is not of the form, where\xa0m\xa0and\xa0n\xa0are non-negative integers.Then,\xa0x\xa0has a decimal expression which does not have terminating decimal.(iv) We have,Theorem states:\xa0Let\xa0be a rational number, such that the prime factorization of\xa0q\xa0is of the form, where\xa0m\xa0and\xa0n\xa0are non-negative integers.Then,\xa0x\xa0has a decimal expression which terminates after\xa0k\xa0places of decimals, where\xa0k\xa0is the larger of\xa0m\xa0and\xa0n.Then,\xa0x\xa0has a decimal expression which will have terminating decimal after 3 places of decimal.\xa0

Which of the following rational numbers have terminating decimal a)7/250b)16/225 c)5/18 d)2/21