Which of the following rational numbers 16225, 518, 221 and 7250 have a terminating decimal?

We have to find which of the following rational numbers 16225, 518, 221 and 7250 have a terminating decimal.Let pq can be a rational number.Then, prime factorisation of q is of the form 2m×5n where m and n are non negative integers.Let us consider 16225.Here, q=225.225 can be written as 32×52.⇒ It has a terminating decimal.Let us now consider 518.Here, q=18.18 can be written as 2×32.⇒ It does not have a terminating decimal.Now let us consider 221.Here, q=21.21 can be written as 3×7.⇒ It does not have a terminating decimal.Let us now consider 7250.Here, q=250.250 can be written as 21×53.⇒ It has a terminating decimal.Therefore, the rational numbers 16225 and 7250 has a terminating decimal.Hence, option 4 is correct.

Which of the following rational numbers 16225, 518, 221 and 7250 have a terminating decimal?

We have to find which of the following rational numbers 16225, 518, 221 and 7250 have a terminating decimal.Let pq can be a rational number.Then, prime factorisation of q is of the form 2m×5n where m and n are non negative integers.Let us consider 16225.Here, q=225.225 can be written as 32×52.⇒ It has a terminating decimal.Let us now consider 518.Here, q=18.18 can be written as 2×32.⇒ It does not have a terminating decimal.Now let us consider 221.Here, q=21.21 can be written as 3×7.⇒ It does not have a terminating decimal.Let us now consider 7250.Here, q=250.250 can be written as 21×53.⇒ It has a terminating decimal.Therefore, the rational numbers 16225 and 7250 has a terminating decimal.Hence, option 4 is correct.