The value of (10^8-10^2)/(10^7-10^3) is closest to which of : GMAT Problem Solving (PS) - Page 2
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 19 Jan 2017, 22:26

### 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

# The value of (10^8-10^2)/(10^7-10^3) is closest to which of

Author Message
TAGS:

### Hide Tags

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 47

Kudos [?]: 1932 [0], given: 193

Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink]

### Show Tags

25 Feb 2014, 19:53
10^8 is way too high from 10^2, similarly 10^7 is way too high from 10^3
No need to make any further simplification calculation, just calculate 10^8 / 10^7 = 10 = Answer = B
_________________

Kindly press "+1 Kudos" to appreciate

Senior Manager
Joined: 20 Dec 2013
Posts: 273
Location: India
Followers: 0

Kudos [?]: 81 [0], given: 29

Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink]

### Show Tags

08 Mar 2014, 19:49
Option B.
Factor the numerator and denominator.
{[(10^4)-10] [10^4+10]}/10^3(10^4-1)
Taking 10 common from each term in numerator.
{10^2[(10^3-1)(10^3+1)]}/10^3[(10^2-1)(10^2+1)]

After further factorization and cancellation We're left with
(111*91)/10*101=9.99 or 10

Posted from my mobile device
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13459
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink]

### Show Tags

07 Apr 2015, 20:06
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.
_________________
Intern
Joined: 09 Sep 2015
Posts: 1
Followers: 0

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

Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink]

### Show Tags

09 Sep 2015, 09:27
I think the easiest way to solve this is to use the quotient rule. Since all bases are the same (10), split the problem into two fractions, use the quotient rule on each, then subtract.

(10^8-10^2)/(10^7-10^3) =

(10^8/10^7) - (10^2/10^3) =

10 - (10^-1) =

10 - (1/10) =

10 - 0.1 =

9.9 =

B.
Manager
Joined: 21 Jan 2014
Posts: 105
GMAT 1: 500 Q32 V28
GPA: 4
Followers: 3

Kudos [?]: 17 [0], given: 46

Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink]

### Show Tags

11 Jan 2016, 14:18
Why we can't simply eliminate 10^8 with 10^7 and so on?

I did in this way and this is what I got:

1) 10^8 - 10^2 / 10^7 - 10^3;
2) I eliminate 10^8 with 10^7 and I got 10 on the up left side;
3) then I eliminate 10^2 with 10^3 and got zero on the up ritghtside and 10 on the down right side;
4) so, basically I left with 10 - 0 / - 10;
5) 10 / -10 = -1;
Because there isn't -1 on the answer choices I pick 1 that is the closest one.

What is wrong with my line of reasoning? I saw many times calculations involving exponents elimination if there is a division.

Thanks in advance for the explanation
Intern
Joined: 22 Jul 2016
Posts: 28
Followers: 0

Kudos [?]: 1 [0], given: 33

The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink]

### Show Tags

07 Jan 2017, 21:45
As the question asks for approximation, let's tackle it in the same way :

Numerator : $$10^8-10^2$$ : $$10^2$$ is 0.00001% of $$10^8$$ ,which is negligible when compared to $$10^8$$
denominator: $$10^7-10^3$$ : $$10^3$$ is 0.0001% of $$10^7$$ ,which is negligible when compared to $$10^7$$

Hence ,($$10^8$$) - (negligible) / ($$10^7$$) - (negligible)= $$10^8$$/$$10^7$$ =10

Ans : B
Manager
Joined: 25 Mar 2013
Posts: 211
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Followers: 2

Kudos [?]: 21 [0], given: 88

Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink]

### Show Tags

09 Jan 2017, 14:29
$$\frac{10^{2}(10^{6} - {1})}{10^{3}(10^{4} - 1)}$$
$$\frac{10^{8}}{10^{7}}$$
10
B
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of   [#permalink] 09 Jan 2017, 14:29

Go to page   Previous    1   2   [ 27 posts ]

Similar topics Replies Last post
Similar
Topics:
2 Of the following, which if closest to ? 4 26 Dec 2016, 01:39
3 Which of the following is closest to the value of (2^23)(5^26)? 1 24 Nov 2016, 02:03
If x2 = 131, which of the following is closest to a potential value of 3 17 Feb 2016, 02:58
2 Which of the following is closest to the value of 999/(100+1/999)? 2 26 Jan 2016, 09:30
13 Which of the following is closest in value to (9^9)-(9^2)? 11 24 May 2008, 11:33
Display posts from previous: Sort by

# The value of (10^8-10^2)/(10^7-10^3) is closest to which of

 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®.