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23 Sep 2022, 07:10
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:41) correct
30%
(01:45)
wrong
based on 253
sessions
History
Date
Time
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Not Attempted Yet
A terminating decimal is one which has only a finite number of nonzero digits. Which of the following numbers has a reciprocal which is a terminating decimal?
A. 455/31
B. 1,045/43
C. 770/23
D. 650/19
E. 800/13
A. 455/31
B. 1,045/43
C. 770/23
D. 650/19
E. 800/13
23 Sep 2022, 19:18
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Bunuel
Any simplified fraction containing only 2s and 5s in the denominator will lead to a terminating decimal.
As we are looking at the reciprocals, 800 in E is \(2^5*5^2\), and is the correct answer as 13/800 will be a terminating decimal.
E
OJA
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05 Mar 2025, 09:21
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I thought that only even if there is same number of 2s and 5s then it would be terminating. But even if we look at fractions like 1/50 = 0.02 and 1/20 = 0.05, they terminates.
Hence, any denomination containing powers of only 2 and 5 would lead to a terminating decimal.
Hence, any denomination containing powers of only 2 and 5 would lead to a terminating decimal.
