Which of the following rational numbers does not have a terminating decimal expansion?
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Answer(i) The prime factor of 5 is 5. Hence 3 / 5 has a terminating decimal
representation.
(ii) 20 = 4 x 5 = 22 x 5.
The prime factors of 20 are both 2's and 5's. Hence 7 / 20 has a terminating decimal.
(iii) The prime factor of 13 is 13. Hence 2/13 has non- terminating decimal.
(iv) 40 = 23 x 5.
The prime factors of 40 are both 2's and 5's. Hence 27/40 has a
terminating decimal.
(v) 125 = 53
The prime factor of 125 is 5's. Hence 133 / 125 has a terminating
Step-by-step explanation:
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