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Difficulty:
35%
(medium)
Question Stats:
63% (00:48) correct
37%
(01:09)
wrong
based on 49
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If \(r, s\) are positive integers, is \(\frac{r}{s}\) a terminating decimal?
(1) \(\frac{1}{r^2}\) is a terminating decimal
(2) \(\frac{1}{s^2}\) is a terminating decimal
(1) \(\frac{1}{r^2}\) is a terminating decimal
(2) \(\frac{1}{s^2}\) is a terminating decimal
21 Jun 2023, 08:57
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Key concept:
Any fraction will terminate so long as the denominator is composed of only factors of 2 and 5
1) This statement only tells us that r only has factors of 5 or 2. This does not tell us anything about s. For example, r=2, s=3 does not terminate but r=2 s=2 does.
2) This statement tells us that s (the denominator) is composed of factors of 2 and 5. This implies that no matter what r is, it will always terminate.
B
Any fraction will terminate so long as the denominator is composed of only factors of 2 and 5
1) This statement only tells us that r only has factors of 5 or 2. This does not tell us anything about s. For example, r=2, s=3 does not terminate but r=2 s=2 does.
2) This statement tells us that s (the denominator) is composed of factors of 2 and 5. This implies that no matter what r is, it will always terminate.
B
24 Dec 2024, 05:35
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