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If 1/(2^11)(5^17) is expressed as a terminating decimal, how many
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20 Sep 2022, 07:46
20 Sep 2022, 07:46
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Question Stats:
50% (02:04) correct
50% (00:51) wrong based on 8 sessions
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If \(\frac{1}{(2^{11})(5^{17})}\) is expressed as a terminating decimal, how many nonzero digits will the decimal have?
A One
B Two
C Four
D Six
E Eleven
A One
B Two
C Four
D Six
E Eleven
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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Re: If 1/(2^11)(5^17) is expressed as a terminating decimal, how many
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24 Sep 2022, 05:48
24 Sep 2022, 05:48
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\(\frac{1}{(2^{11})(5^{17})}\)
Since number of zeros is determined by the combination of 2's and 5's, let us make both of them equal in the denominator by multiplying both numerator and denominator by \(2^6\)
\(\frac{1 * 2^6}{(2^{17})(5^{17})} = \frac{2^6}{10^{17}} = \frac{64}{10^{17}}\)
So, we can see that we will have 15 zeros followed by 2 non zero units (64)
Answer - B
Since number of zeros is determined by the combination of 2's and 5's, let us make both of them equal in the denominator by multiplying both numerator and denominator by \(2^6\)
\(\frac{1 * 2^6}{(2^{17})(5^{17})} = \frac{2^6}{10^{17}} = \frac{64}{10^{17}}\)
So, we can see that we will have 15 zeros followed by 2 non zero units (64)
Answer - B
gmatclubot
Re: If 1/(2^11)(5^17) is expressed as a terminating decimal, how many [#permalink]
24 Sep 2022, 05:48
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