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

 It is currently 04 May 2015, 00:05

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the tenth digit to the right of the decimal point

Author Message
TAGS:
Director
Status: Up again.
Joined: 31 Oct 2010
Posts: 543
Concentration: Strategy, Sustainability
GMAT 1: 710 Q48 V40
GMAT 2: 740 Q49 V42
Followers: 17

Kudos [?]: 132 [2] , given: 75

What is the tenth digit to the right of the decimal point [#permalink]  18 Feb 2011, 02:37
2
KUDOS
00:00

Difficulty:

75% (hard)

Question Stats:

46% (02:03) correct 54% (01:08) wrong based on 366 sessions
What is the tenth digit to the right of the decimal point, in the decimal expansion of (1/5)^10
(A) 0
(B) 2
(C) 4
(D) 6
(E) 8
[Reveal] Spoiler: OA

_________________

My GMAT debrief: from-620-to-710-my-gmat-journey-114437.html

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2035
Followers: 135

Kudos [?]: 1107 [8] , given: 376

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]  18 Feb 2011, 03:41
8
KUDOS
3
This post was
BOOKMARKED
$$(\frac{1}{5})^{10}$$

$$\frac{1}{5^{10}}$$

$$\frac{1}{(\frac{10}{2})^{10}}$$

$$\frac{2^{10}}{{10}^{10}}$$

$$\frac{1024}{{10}^{10}}$$

$$1024*10^{-10}$$

$$.0000001024$$

Tenth digit to the right of decimal is 4.

Ans: "C"
_________________
Manager
Joined: 14 Feb 2011
Posts: 197
Followers: 4

Kudos [?]: 74 [0], given: 3

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]  18 Feb 2011, 04:38
(1/5)^10 is same as (2/10)^10. 10th digit after decimal in this is same as unit's digit in 2^10
2^10 = 2^5*2^5 - 32*32 whose units digit would be 4
Manager
Joined: 08 Oct 2010
Posts: 213
Location: Uzbekistan
Schools: Johnson, Fuqua, Simon, Mendoza
WE 3: 10
Followers: 9

Kudos [?]: 311 [0], given: 974

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]  30 Nov 2011, 03:09
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!
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 5453
Location: Pune, India
Followers: 1331

Kudos [?]: 6776 [2] , given: 177

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]  30 Nov 2011, 03:53
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
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.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Veritas Prep GMAT course is coming to India. Enroll in our weeklong Immersion Course that starts March 29!

Veritas Prep Reviews

Current Student
Joined: 23 Oct 2010
Posts: 386
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Followers: 15

Kudos [?]: 187 [2] , given: 73

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]  30 Nov 2011, 04:43
2
KUDOS
(1/5)^10 is (0.2)^10

we know that 2^5=32 .we have (2^5) *(2^5) or 32*32=1024 since we have 10 zeros , our result is
0.0000001024

so 10th digit is 4
_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

Manager
Joined: 08 Oct 2010
Posts: 213
Location: Uzbekistan
Schools: Johnson, Fuqua, Simon, Mendoza
WE 3: 10
Followers: 9

Kudos [?]: 311 [0], given: 974

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]  30 Nov 2011, 04:52
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.
Manager
Joined: 05 Mar 2011
Posts: 155
Followers: 0

Kudos [?]: 16 [0], given: 3

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]  30 Nov 2011, 22:31
Manager
Joined: 26 Apr 2011
Posts: 226
Followers: 0

Kudos [?]: 33 [0], given: 12

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]  12 Dec 2011, 22:47
Hi Karishma,
Thanks for making it clear . very confusing language.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4766
Followers: 295

Kudos [?]: 52 [0], given: 0

Re: What is the tenth digit to the right of the decimal point [#permalink]  27 Dec 2013, 21:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 27170
Followers: 4226

Kudos [?]: 40966 [0], given: 5576

Re: What is the tenth digit to the right of the decimal point [#permalink]  28 Dec 2013, 03:06
Expert's post
SVP
Joined: 06 Sep 2013
Posts: 2035
Concentration: Finance
GMAT 1: 710 Q48 V39
Followers: 24

Kudos [?]: 294 [0], given: 354

Re: What is the tenth digit to the right of the decimal point [#permalink]  30 Dec 2013, 13:30
gmatpapa wrote:
What is the tenth digit to the right of the decimal point, in the decimal expansion of (1/5)^10
(A) 0
(B) 2
(C) 4
(D) 6
(E) 8

Yeah actually 1/5 = 0.2 = 2*10^-1

so 2^10 * 10^-10

2 has sequence 2,4,8,6.

Hence digit will be 4

Hope it helps

Cheers!
J
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4766
Followers: 295

Kudos [?]: 52 [0], given: 0

Re: What is the tenth digit to the right of the decimal point [#permalink]  19 Mar 2015, 05:27
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: What is the tenth digit to the right of the decimal point   [#permalink] 19 Mar 2015, 05:27
Similar topics Replies Last post
Similar
Topics:
2 What is the 18th digit to the right of the decimal point 3 08 Nov 2012, 14:57
3 What is the tenths digit in the decimal representation of a 8 24 Sep 2012, 04:12
What is the tenths digit of decimal X? 2 01 Sep 2012, 09:53
13 What is the 25th digit to the right of the decimal point in 11 13 Aug 2012, 06:06
2 What is the tenths digit in the decimal representation of a 7 19 Apr 2009, 20:15
Display posts from previous: Sort by