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16 Sep 2014, 00:56
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A
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Difficulty:
45%
(medium)
Question Stats:
65% (01:38) correct
35%
(01:48)
wrong
based on 281
sessions
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In the decimal notation of the number \((\frac{2}{23})^3\), what is the third digit after the decimal point?
A. 0
B. 1
C. 2
D. 4
E. 8
A. 0
B. 1
C. 2
D. 4
E. 8
16 Sep 2014, 00:56
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Official Solution:
In the decimal notation of the number \((\frac{2}{23})^3\), what is the third digit after the decimal point?
A. 0
B. 1
C. 2
D. 4
E. 8
Observe that \((\frac{2}{23})^3 < (\frac{2}{20})^3\).
Now, \((\frac{2}{20})^3 = (\frac{1}{10})^3 = 0.001\).
Finally, since \((\frac{2}{23})^3 < 0.001\), the third digit after the decimal point of \((\frac{2}{23})^3\) must be less than 1, which is the third digit after the decimal point of 0.001. Therefore, it must be 0.
Answer: A
In the decimal notation of the number \((\frac{2}{23})^3\), what is the third digit after the decimal point?
A. 0
B. 1
C. 2
D. 4
E. 8
Observe that \((\frac{2}{23})^3 < (\frac{2}{20})^3\).
Now, \((\frac{2}{20})^3 = (\frac{1}{10})^3 = 0.001\).
Finally, since \((\frac{2}{23})^3 < 0.001\), the third digit after the decimal point of \((\frac{2}{23})^3\) must be less than 1, which is the third digit after the decimal point of 0.001. Therefore, it must be 0.
Answer: A
General Discussion
dp3791
Joined: 24 Nov 2016
Last visit: 31 Jul 2018
Posts: 14
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Location: United States
Concentration: Finance, Sustainability
Schools: Kenan-Flagler '20 (WD) Duke '20 (WL) McCombs '20 (D) Anderson '20 (WD) Marshall '20 (WD) Kellogg '20 (M) Haas '20 (D)
GMAT 1: 680 Q46 V38
GPA: 3.43
WE:Project Management (Other)
Schools: Kenan-Flagler '20 (WD) Duke '20 (WL) McCombs '20 (D) Anderson '20 (WD) Marshall '20 (WD) Kellogg '20 (M) Haas '20 (D)
GMAT 1: 680 Q46 V38
Posts: 14
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26 Jan 2017, 11:03
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I thought the digit 1 is the third from the right of the decimal point. So, if 1 is not the third, in which position is it? Are not the decimal points supposed to be the ones after the comma, in which case 1 would be the third and the 2 zeros would be first and second. I don't understand this concept at all.... Can someone pplease help?!
