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If 10^(n-1)< 0.000125 <10^n, what is the value of an integer n? A. -4
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17 Mar 2021, 09:56
17 Mar 2021, 09:56
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If \(10^{(n-1)}< 0.000125 <10^n\), what is the value of an integer n?
A. -4
B. -3
C. -2
D. 3
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -4
B. -3
C. -2
D. 3
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: If 10^(n-1)< 0.000125 <10^n, what is the value of an integer n? A. -4
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17 Mar 2021, 17:03
17 Mar 2021, 17:03
1
Carcass wrote:
If \(10^{(n-1)}< 0.000125 <10^n\), what is the value of an integer n?
A. -4
B. -3
C. -2
D. 3
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -4
B. -3
C. -2
D. 3
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's TEST some values.
Answer choice A
If n = -4, when we get: 10^(-4-1)< 0.000125 < 10^(-4)
Simplify to get: 10^(-5) < 0.000125 < 10^(-4)
Or we can say: 1/100,000 < 0.000125 < 1/10,0000
Rewrite as decimals to get: 0.00001 < 0.000125 < 0.0001
This is NO GOOD, because 0.000125 is GREATER than 0.0001
ELIMINATE A
Answer choice B
If n = -3, when we get: 10^(-3-1)< 0.000125 < 10^(-3)
Rewrite as decimals to get: 0.0001 < 0.000125 < 0.001
PERFECT!!
Answer: B
Cheers,
Brent
Re: If 10^(n-1)< 0.000125 <10^n, what is the value of an integer n? A. -4
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16 Apr 2021, 01:26
16 Apr 2021, 01:26
1
If 10^(n-1)< 0.000125 <10^n
Rewrite as: If 10^(n-1)< 125 * 10 ^-6 <10^n
Take first half of inequality: 10 ^(n-1) < 125 * 10^-6
10 ^(n+5) < 125
Of the powers of 10, 10 ^2 = 100 < 125
n + 5 = 2 --> n = -3
Rewrite as: If 10^(n-1)< 125 * 10 ^-6 <10^n
Take first half of inequality: 10 ^(n-1) < 125 * 10^-6
10 ^(n+5) < 125
Of the powers of 10, 10 ^2 = 100 < 125
n + 5 = 2 --> n = -3
