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If n is an integer and 0.000001
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15 Feb 2022, 05:00
15 Feb 2022, 05:00
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Question Stats:
85% (01:15) correct
15% (00:58) wrong based on 20 sessions
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If \(n\) is an integer and \(0.000001≤ \frac{1}{10^n} ≤0.001\), then what is the product of all possible values of \(n\)?
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Answer: 360
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Re: If n is an integer and 0.000001
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15 Feb 2022, 05:54
15 Feb 2022, 05:54
1
Carcass wrote:
If \(n\) is an integer and \(0.000001≤ \frac{1}{10^n} ≤0.001\), then what is the product of all possible values of \(n\)?
Show: ::
Answer: 360
First rewrite the two decimals as fractions: \(\frac{1}{1,000,000}≤ \frac{1}{10^n} ≤\frac{1}{1000}\)
First rewrite the two denominators as powers of \(10\) to get: \(\frac{1}{10^6}≤ \frac{1}{10^n} ≤\frac{1}{10^3}\)
Since \(n\) is an integer, we can see that the possible values of \(n\) are: \(3\), \(4\), \(5\), or \(6\)
So, the product of all possible values of \(n\) \(= (3)(4)(5)(6) = 360\)
Answer: \(360\)
gmatclubot
Re: If n is an integer and 0.000001 [#permalink]
15 Feb 2022, 05:54
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