May 24 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. May 25 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. May 27 01:00 AM PDT  11:59 PM PDT All GMAT Club Tests are free and open on May 27th for Memorial Day! May 27 10:00 PM PDT  11:00 PM PDT Special savings are here for Magoosh GMAT Prep! Even better  save 20% on the plan of your choice, now through midnight on Tuesday, 5/27
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 04 Mar 2009
Posts: 9

If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
Updated on: 23 Nov 2012, 09:38
Question Stats:
73% (01:32) correct 27% (01:33) wrong based on 470 sessions
HideShow timer Statistics
If the digits 37 in the decimal 0.00037 repeat indefinitely, what is the value of (10^510^3)(0.00037)? A. 0 B. 0.37 repeating C. 3.7 D. 10 E. 37
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by aimingformba on 15 Jul 2010, 22:37.
Last edited by Bunuel on 23 Nov 2012, 09:38, edited 1 time in total.
Renamed the topic and edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 55228

Re: Problem Solving
[#permalink]
Show Tags
16 Jul 2010, 09:00
aimingformba wrote: If the digits 37 in the decimal .00037 repeat indefinitely, what is the value of (105103)(.00037)? a. A – 0 b. B – .37 repeating c. C – 3.7 d. D – 10 e. E – 37 Assuming that answer E (37) is correct, then the question should be: \((10^510^3)*0.000(37)=?\) \((10^510^3)*0.000(37)=10^3(10^21)*0.00037=99000*0.00(37)\). \(0.000(37)=\frac{37}{99000}\) (see Number Theory chapter of Math Book to know how to convert a recurring decimal to fraction). So \(99000*0.00(37)=99000*\frac{37}{99000}=37\). Answer: E.
_________________




Intern
Joined: 16 Jun 2014
Posts: 11

If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
05 Aug 2014, 02:02
Hi guys, for me the following approach made this question easier to handle:
(10^510^3)*0.00037 =
(10^5*0.00037)  (10^3*0.00037) =
37.37  0.37 =
37




Manager
Joined: 16 Apr 2010
Posts: 197

Re: Problem Solving
[#permalink]
Show Tags
16 Jul 2010, 05:44
Hi,
I am not sure about the first part of the equation. Is the question (105103)*0.00037?
In general, below is the way to solve such questions that have decimals that repeat indefinitely:
1000x = 0.3737 100000x = 37.3737
1000x = 0.3737 100000x  1000x = 37.3737  0.3737 99000x = 37 x = 37/99000
Hope this is of use to you to solve the main question.
regards, Jack



Intern
Joined: 19 Jul 2009
Posts: 42
Location: baltimore, md
Schools: kellogg, booth, stern, ann arbor

Re: Problem Solving
[#permalink]
Show Tags
16 Jul 2010, 08:43
are the answer choices correct here? i got 74/99000. how is the answer E? any explanations?
_________________



Intern
Joined: 04 Mar 2009
Posts: 9

Re: Problem Solving
[#permalink]
Show Tags
16 Jul 2010, 11:52
Thanks Bunuel. Sorry for the mess up with the powers...



Intern
Joined: 20 May 2012
Posts: 1

Re: Problem Solving
[#permalink]
Show Tags
23 Nov 2012, 09:24
Hi Bunuel, arent you supposed to do the parenthesis first? so \((10^510^3)\) becomes \(10^2=100*0.0003737\).. where am I going wrong here?



Intern
Joined: 24 Aug 2005
Posts: 8

Re: If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
23 Nov 2012, 13:20
Another way to solve is by opening parenthesis and multiplying 0.00037 by 10^5 and then by 10^3. If you notice the fact that 0.00037*10^3 will get rid of repeating 37s, the problem boils down to just multiplying 0.00037 by 10^5



Director
Joined: 23 Jan 2013
Posts: 549

Re: If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
27 Jul 2014, 22:05
Instead of 99000*0.000(37), I just did 100000*0.000(37) and got 37.(37), so the closest is E



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1812
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
06 Aug 2014, 02:20
snuffles563 wrote: Hi Bunuel, arent you supposed to do the parenthesis first? so \((10^510^3)\) becomes \(10^2=100*0.0003737\).. where am I going wrong here? This is wrong. \(\frac{10^5}{10^3} = 10^2\) As far as \(10^5  10^3\) is concerned, \(10^5\) is way high compared to \(10^3\) So, \(10^5  10^3 \approx10^5\)
_________________
Kindly press "+1 Kudos" to appreciate



Director
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)

If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
18 Jul 2017, 08:20
aimingformba wrote: If the digits 37 in the decimal 0.00037 repeat indefinitely, what is the value of (10^510^3)(0.00037)?
A. 0 B. 0.37 repeating C. 3.7 D. 10 E. 37 Note : Rule to convert mixed recurring decimal to fraction : In the numerator write the entire given number formed by the (recurring and non  recurring parts) and subtract from it the part of the decimal that is not recurring. In the denominator, write as many nines as the number of digits recurring and then place next to it as many zeros as there are digits without recurring in the given decimal.Converting the mixed recurring decimal (\(0.00037\)) [digits \(37\) repeat indefinitely] to fraction we get;\(\frac{37000}{99000} = \frac{37}{99000}\) \((10^510^3)(0.00037)\) \(10^3(10^21)(\frac{37}{99000})\) \(10^3(1001)(\frac{37}{99000})\) \(\frac{1000 * 99 * 37}{99000} = 37\) Answer (E)...



Intern
Joined: 30 Aug 2017
Posts: 5

Re: If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
14 Dec 2017, 02:40
We can just round it to 0.0004 and check the answer choices!



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9232
Location: Pune, India

Re: If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
14 Dec 2017, 04:02
aimingformba wrote: If the digits 37 in the decimal 0.00037 repeat indefinitely, what is the value of (10^510^3)(0.00037)?
A. 0 B. 0.37 repeating C. 3.7 D. 10 E. 37 Note that the answer options are very far apart so some approximation should have no impact. 10^5 is much greater than 10^3 so we can approximate (10^510^3) to be just 10^5 10^5 * .000373737 = approx 37.3737... Answer (E)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Manager
Joined: 03 Sep 2018
Posts: 61

Re: If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
Show Tags
13 Jan 2019, 11:10
My approach is as follows: \((10^510^3)(\frac{37}{99}*10^{3})\) \(\implies\) \(10^3(10^21)(\frac{37}{99}*10^{3})\) \(\implies\) \(10^3(101)(10+1)(\frac{37}{99}*10^{3})\) \(\implies\) \(10^3*37*10^{3}\) \(\implies\) \(10^0*37=37\) Kudos are very much appreciated
_________________
Please consider giving Kudos if my post contained a helpful reply or question.




Re: If the digits 37 in the decimal 0.00037 repeat indefinitely,
[#permalink]
13 Jan 2019, 11:10






