without actual division determine whether the decimal expansion of the rational no 51/84 is terminating or non terminating recurring
Answers
Answer:
R. K. Narayan ( born 1906 ) is one of the best-known of the Indo-English authors. He created the fanciful town of Malgudi. where realistic characters in a typically Indian puting lived amid unpredictable events. Rasipuram Krishnaswami Narayanswami. who preferred the shortened name R. K. Narayan. was born in Madras. India. on Oct. 10. 1906. His male parent. an pedagogue. travelled often. and his female parent was frail. so Narayan was raised in Madras by his grandma and an uncle. His grandma inspired in immature Narayan a passion for linguistic communication and for people. He attended the Christian Mission School. where. he said. he learned to love the Hindu Gods merely because the Christian chaplain ridiculed them. Narayan graduated from Maharaja’s College in Mysore in 1930. In 1934 he was married. but his married woman. Rajam. died of enteric fever in 1939. He had one girl. Hema. He ne’er remarried. Narayan wrote his first novel. Swami and Friends. in 1935. after short. uninspiring stretchs as a instructor. an column helper. and a correspondent. In it. he invented the little south Indian metropolis of Malgudi. a literary microcosm that critics subsequently compared to William Faulkner’s Yoknapatawpha County.
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Step-by-step explanation:
Answer
We know that
q
p
is terminating if p and q are co-prime and q is of the form 2
m
5
n
; where m and n are non-negative integers.
(A)
25
3
:
Checking co-prime-
Since 3 and 25 have no common factors, hence 3 and 25 are co-prime.
Now,
25=5×5=5
2
∴ Denominator=5
2
=1×5
2
=2
0
×5
2
∴ Denominator is of the form 2
m
5
n
, where m = 0 and n = 2.
Hence,
25
3
is a terminating decimal.
(B)
18
11
:
Checking co-prime-
Since 11 and 18 have no common factors, hence 11 and 18 are co-prime.
Now,
18=2×3×3=2×3
2
∴ Denominator is not of the form 2
m
5
n
.
Hence,
18
11
is not a terminating decimal.
(C)
20
13
:
Checking co-prime-
Since 13 and 20 have no common factors, hence 13 and 20 are co-prime.
Now,
20=2×2×5=2
2
×5
∴ Denominator=2
2
×5=2
2
×5
1
∴ Denominator is of the form 2
m
5
n
, where m = 2 and n = 1.
Hence,
20
13
is a terminating decimal.
(D)
42
41
:
Checking co-prime-
Since 41 and 42 have no common factors, hence 41 and 42 are co-prime.
Now,
42=2×3×7
∴ Denominator is not of the form 2
m
5
n
.
Hence,
42
41
is not a terminating decimal.
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Answer:
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