If .0024 is represented in its shortest possible decimal form, how man

Question

If .002^4 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?

A. 0
B. 8
C. 9
D. 10
E. 11

Kudos for a correct  solution .

Bunuel · Accepted Answer

VERITAS PREP OFFICIAL SOLUTION

Correct Answer: (D)

Start by determining how many decimal places there are. Remember that the product of any number of decimals has as many decimal places as all the decimals being multiplied put together, so if .002 is multiplied by itself four times, the product will contain 12 decimal places. Next, get the result. 2^4 = 16, and since that 2 comes at the end of a decimal containing nothing other than zeros, it will come at the very end of the result, and EVERY other digit will be a 0. So there will be twelve digits, two of which are 1 and 6 and the rest of which are 0’s -- the decimal is .000000000016 – so the answer is 10 zeros.

shelrod007 · Answer

Though i am not sure i am giving it a shot , is the answer 0 ?

0.0024 = 24 /10000 therefore 0 zeros to the right of the decimal part .

eddyki · Answer

Since we need the decimal form -> 24*10^(-4)

A??

PareshGmat · Answer

Answer = A. 0

0.0024 = 24 * 10^{-4}

gmat6nplus1 · Answer

I would go with A as well here.

0,0024 = 24 (10^-4) = 3(5^-3)(10^-1)

tmukogo · Answer

I was lost on the phrase "shortest possible decimal form" what does that mean?

aviram · Answer

.002^4= 2/1000^4 or 16/10^12. When you divide 16 by 10^12, two zeros will go in moving decimal point to the left of 1, and there will be 10 zeros left (of the total 12 that 10^12 has). Answer D.

OptimusPrepJanielle · Answer

We know that 2^4 = 16 Hence the last 2 digits would be 16. Also, there are 3 digits in .002. Hence (3 digits )^4 = 12 digit number Out of these 12 digits, last 2 digits are 16 Hence there are 10 zeros after decimal. Hence option D. -- Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: https://www.optimus-prep.com/gmat-on-demand-course

EMPOWERgmatRichC · Answer

Hi All,

If anyone is confused by some of the posts in this thread, it's because they are in response to the original prompt (which had a 'typo' in it). The current prompt is correct as written (we're meant to deal with  ^4, not .0024).

GMAT assassins aren't born, they're made,
Rich

Abhishek009 · Answer

0.002^4  =  (\frac{2}{1000})^4

=  \frac{2^4}{10^{3*4}}

Now the fun begins -

2^4 = 16  and 10^12 = 1000000000000 ( 12 trailing zero's)

So, 16 will take up 2 places of 12 digits and this we will be having only 10 zeroe's...
 
Hence answer will be (D)

KanishkM · Answer

Simplification is the key word

{2/1000}^4

16/{10^12}

how many 0’s to the right of the decimal point does it contain => 10

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

If .0024 is represented in its shortest possible decimal form, how man

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

If .0024 is represented in its shortest possible decimal form, how man

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards