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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: PS Decimal digits [#permalink]
30 Jun 2007, 07:56

1

This post received KUDOS

vshaunak@gmail.com wrote:

In the decimal notation of number (2/23)^3. What is the third digit to the right of the decimal point?

a. 0 b. 1 c. 2 d. 4 e. 8

Is there any quick approach without solving it completely?

The first digit after the decimal point in (2/23) is 0. That is something like 0.0x, which is equal to 0.x * (10^-1). Therefore, the third power will be (0.x)^3 * (10^-3). And, hence, the third digit to the right of the decimal point is 0. Choice A.

Re: In the decimal notation of number (2/23)^3. What is the thir [#permalink]
04 Sep 2013, 05:33

Is there a recommended spot to conceptually study how to approach problems like this?

How to notice these situations and to approximate as Bunuel did, ya know? Is Bunuel's approach the preferred method or is there a "book" approach to these styles of questions?

Re: In the decimal notation of number (2/23)^3. What is the thir [#permalink]
05 Sep 2013, 21:57

1

This post received KUDOS

IvanW wrote:

Is there a recommended spot to conceptually study how to approach problems like this?

How to notice these situations and to approximate as Bunuel did, ya know? Is Bunuel's approach the preferred method or is there a "book" approach to these styles of questions?

There can be numerous ways to solve such questions. IMO, Bunuel approach is the best and you should follow that. But, end of the day what strikes you under timed conditions is the what matters. I suggest, to develop acumen for such questions, follow Bunuel and understand his approach for every question he responds to. 90% of times you will find that he has solved the questions in a much easier way. Initially, you will find his approach too hard to digest, but when you keep on seeing his methods, you will probably start thinking on the same lines.

Re: In the decimal notation of number (2/23)^3. What is the thir [#permalink]
16 Nov 2013, 02:48

Bunuel wrote:

vshaunak@gmail.com wrote:

In the decimal notation of number (2/23)^3. What is the third digit to the right of the decimal point?

A. 0 B. 1 C. 2 D. 4 E. 8

Notice that (\frac{2}{23})^3<(\frac{2}{20})^3.

Now, (\frac{2}{20})^3=(\frac{1}{10})^3=0.001.

Finally, since (\frac{2}{23})^3<0.001, then the third digit to the right of the decimal point of (\frac{2}{23})^3 is 0.

Answer: A.

Hi Bunuel, Can you give another way to solve this? Sometimes your approach just doesn't jump to mind, and that's when I get stuck on questions such as this.... I wasn't able to see the approximation that you saw....

In the decimal notation of number (2/23)^3. What is the thir [#permalink]
06 Nov 2014, 14:20

I got stuck and just couldn't find the shortcut to this question so I just tried the dumb method of doing long division. 23^3 took me 10 seconds, 2^3 was memorized. As soon as I tried long division of 8/12167, I figured out the trick. There were a lot of zeros before I could reach a number large enough to be divided by 12167 even once.

For anyone who still don't get it, just try solving the problem the dumb way by finding the numerator, denominator, and then doing long division. This question is one of those questions that you just have to start doing to understand what the "trick" is.

gmatclubot

In the decimal notation of number (2/23)^3. What is the thir
[#permalink]
06 Nov 2014, 14:20

I´ve done an interview at Accepted.com quite a while ago and if any of you are interested, here is the link . I´m through my preparation of my second...

It’s here. Internship season. The key is on searching and applying for the jobs that you feel confident working on, not doing something out of pressure. Rotman has...