Find all School-related info fast with the new School-Specific MBA Forum

It is currently 12 Jul 2014, 18:55

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Extremely embarassing, can't do long division on recurring d

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 10 Sep 2012
Posts: 151
Followers: 2

Kudos [?]: 26 [0], given: 17

Extremely embarassing, can't do long division on recurring d [#permalink] New post 04 Nov 2012, 16:30
Curly brackets {} around the last digits of a decimal fraction signify that these digits recur an infinite number of times. For example 0.1{5} is a shorthand for 0.1555555… Similarly, 0.{15} is a shorthand for 0.15151515….
10/99 is which of the following?

0.{11}
0.{101}
0.{10}
0.{09}
0.{01}





So the answer to this is obvious (to anyone that can do long division), unfortunately I haven't done this type of LD since HS and I need a refresher.

The answer is C but I'm failing to understand why there is only 1 zero between the 1s. In the long division process we subtract 99 from 100, leaving 1. Therefore we have to add 2 zeroes to get back to 100 where we can multiply 99 into 1 again to get 100-99... but this obviously is not the case and I'm struggling to understand why.

Can anyone help me out? I've attached a picture of my work...

Thank you so much guys

Image
Manager
Manager
User avatar
Status: prepping all the way !
Joined: 06 Dec 2011
Posts: 93
Location: India
Concentration: Entrepreneurship, Finance
Schools: ISB '15
GPA: 3.49
WE: Analyst (Computer Software)
Followers: 5

Kudos [?]: 63 [0], given: 41

Re: Extremely embarassing, can't do long division on recurring d [#permalink] New post 04 Nov 2012, 18:55
Hey hi,
10/99 = 0.101010

Hope it helps.

Posted from my month


bile device
Image
1 KUDOS received
Director
Director
User avatar
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 646
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 35

Kudos [?]: 345 [1] , given: 23

GMAT ToolKit User Premium Member
Re: Extremely embarassing, can't do long division on recurring d [#permalink] New post 04 Nov 2012, 21:20
1
This post received
KUDOS
anon1 wrote:
Curly brackets {} around the last digits of a decimal fraction signify that these digits recur an infinite number of times. For example 0.1{5} is a shorthand for 0.1555555… Similarly, 0.{15} is a shorthand for 0.15151515….
10/99 is which of the following?
0.{11}
0.{101}
0.{10}
0.{09}
0.{01}
So the answer to this is obvious (to anyone that can do long division), unfortunately I haven't done this type of LD since HS and I need a refresher.
The answer is C but I'm failing to understand why there is only 1 zero between the 1s. In the long division process we subtract 99 from 100, leaving 1. Therefore we have to add 2 zeroes to get back to 100 where we can multiply 99 into 1 again to get 100-99... but this obviously is not the case and I'm struggling to understand why.
Can anyone help me out? I've attached a picture of my work...
Thank you so much guys


The problem in your division is, that you forgot that you had added decimal already and what is its effect.

Try dividing this first: 100000/99
And then come back and try dividing 10.0000/99
Compare these 2 calculations (specially the second one to your calculation)

Hopefully you'll see the underlying concept and results ;)
_________________

Lets Kudos!!! ;-)
Black Friday Debrief

Manager
Manager
avatar
Joined: 10 Sep 2012
Posts: 151
Followers: 2

Kudos [?]: 26 [0], given: 17

Re: Extremely embarassing, can't do long division on recurring d [#permalink] New post 04 Nov 2012, 21:50
VIPS YOU ARE THE MAN

booya

Image
Director
Director
User avatar
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 646
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 35

Kudos [?]: 345 [0], given: 23

GMAT ToolKit User Premium Member
Re: Extremely embarassing, can't do long division on recurring d [#permalink] New post 04 Nov 2012, 22:12
anon1 wrote:
VIPS YOU ARE THE MAN

booya


ha ha.. glad it helped..
here is another trick to avoid such lengthy calculation

if u divide a number N by 9s (k times 9), it always gives the same repeating numbers .(0000) N (0000) N
(0000) depends on how many 9s are there.

eg:
2/9 = 0.222222222....
5/99 = 0.0505050505....
10/99= 0.1010101...
111/999=0.111111111..

and so on.. ;)
_________________

Lets Kudos!!! ;-)
Black Friday Debrief

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4519
Location: Pune, India
Followers: 1013

Kudos [?]: 4325 [1] , given: 161

Re: Extremely embarassing, can't do long division on recurring d [#permalink] New post 05 Nov 2012, 23:30
1
This post received
KUDOS
Expert's post
anon1 wrote:
Curly brackets {} around the last digits of a decimal fraction signify that these digits recur an infinite number of times. For example 0.1{5} is a shorthand for 0.1555555… Similarly, 0.{15} is a shorthand for 0.15151515….
10/99 is which of the following?

0.{11}
0.{101}
0.{10}
0.{09}
0.{01}





So the answer to this is obvious (to anyone that can do long division), unfortunately I haven't done this type of LD since HS and I need a refresher.

The answer is C but I'm failing to understand why there is only 1 zero between the 1s. In the long division process we subtract 99 from 100, leaving 1. Therefore we have to add 2 zeroes to get back to 100 where we can multiply 99 into 1 again to get 100-99... but this obviously is not the case and I'm struggling to understand why.

Can anyone help me out? I've attached a picture of my work...

Thank you so much guys

Image


You may want to check out khanacademy.org

It has great videos to explain a lot of basic concepts. Here is the link that teaches you long division:

http://www.khanacademy.org/math/arithme ... 4-division

Another great basic concept website is purplemath.com (for algebra)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Re: Extremely embarassing, can't do long division on recurring d   [#permalink] 05 Nov 2012, 23:30
    Similar topics Author Replies Last post
Similar
Topics:
1 Long division Decimal problem HarvardSean 1 19 Dec 2013, 06:26
5 can't do better in quant... :((( ozodam81 7 24 Dec 2012, 05:41
1 Experts publish their posts in the topic An extremely rare species of owl, the long-whiskered owlet, tinashine20 3 25 Nov 2012, 10:05
7 Experts publish their posts in the topic Let D be a recurring decimal of the form D=0.a1 a2 a1 a2.... tarek99 11 16 Dec 2007, 01:28
650(49Q, 29V)...An extremely long post on failure greenandwise 20 20 Feb 2005, 13:21
Display posts from previous: Sort by

Extremely embarassing, can't do long division on recurring d

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.