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Re: Powers PS: Manhattan GMAT Challenge Problem Showdown
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30 Nov 2011, 04:53
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feruz77 wrote:
Hi fluke,
but, inasmuch as I know tenth digit to the right of the decimal point is a first number after the decimal point. Please correct if I am wrong!
You are talking about the 'tenths' digit which is right after the decimal point. 'The tenth digit to the right of the decimal' is the digit that appears after 9 digits to the right of the decimal point.
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Karishma Veritas Prep GMAT Instructor
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Re: Powers PS: Manhattan GMAT Challenge Problem Showdown
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30 Nov 2011, 05:52
VeritasPrepKarishma wrote:
feruz77 wrote:
Hi fluke,
but, inasmuch as I know tenth digit to the right of the decimal point is a first number after the decimal point. Please correct if I am wrong!
You are talking about the 'tenths' digit which is right after the decimal point. 'The tenth digit to the right of the decimal' is the digit that appears after 9 digits to the right of the decimal point.
Hi Karishma,
Thanks for reply. Such kind of things make GMAT very tricky. I appreciate your help.
What is the tenth digit to the right of the decimal point
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16 Aug 2017, 21:38
1/5=0.2 Now the question becomes what is 10th digit of (0.2)¹⁰ for calculation remove decimal 2X2X2=8-a 2X2X2=8-b (2X2X2)X2=8X2-c 8X8=64-a&b 64X8X2=1024-a&b&c 10th place after decimal 0.0000001024 Ans=4
What is the tenth digit to the right of the decimal point
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27 Sep 2018, 16:24
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1
Analysis (30 seconds): The question is asking me to find the 10th digit of \(0.2^1^0\), the answer choices look familiar, possibly the pattern of final digits for powers of 2. I have absolutely no idea how to calculate the actual value of this so I'm going to go ahead and assume two things : 1) I can ignore the fact that the number is a decimal and focus on the 2, and 2) the 10th digit is actually the last digit (because I'm confident GMAC don't actually want me to compute the value of \(0.2^1^0\)). In order to solve this I'll quickly refresh my memory on the pattern of end digits for powers of 2 and then see what the 10th power would yield.
Strategy: Find the pattern, Count to 10
Find the pattern (30 seconds): \(2^0 = 0\) \(2^1 = 2\) \(2^2 = 4\) \(2^3 = 8\) \(2^4 = 16\) \(2^5 = 32\) Looks like the pattern is: [2,4,8,6] with the exception of 0.
Count to 10 (10 seconds): Using [2,4,8,6] as the pattern and starting from index 1 I can see that the 10th power will give me an end digit of 4.
Answer = C Total Time: 1:10
gmatclubot
What is the tenth digit to the right of the decimal point
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27 Sep 2018, 16:24
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51% (01:42) correct 
