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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7631
GMAT 1: 760 Q51 V42 GPA: 3.82
(0.0004)(0.000005)/200,000 is equal to which of the following?  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 70% (01:21) correct 30% (01:42) wrong based on 67 sessions

### HideShow timer Statistics [Math Revolution GMAT math practice question]

$$\frac{(0.0004)(0.000005)}{200,000}$$ is equal to which of the following?

$$A. 10^{-15}$$
$$B. 10^{-14}$$
$$C. 10^{-13}$$
$$D. 10^{-12}$$
$$E. 10^{-11}$$

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Originally posted by MathRevolution on 19 Dec 2018, 06:03.
Last edited by MathRevolution on 21 Dec 2018, 10:11, edited 1 time in total.
Intern  Joined: 02 Dec 2018
Posts: 1
Re: (0.0004)(0.000005)/200,000 is equal to which of the following?  [#permalink]

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I get A. (20*10^-10) / (2*10^5)
Can someone please explain. Thank you!
Senior Manager  P
Joined: 27 Dec 2016
Posts: 332
Re: (0.0004)(0.000005)/200,000 is equal to which of the following?  [#permalink]

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Hi experts, I was wondering could you please explain this question? I got a different answer all together.
Math Expert V
Joined: 02 Aug 2009
Posts: 7763
Re: (0.0004)(0.000005)/200,000 is equal to which of the following?  [#permalink]

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1
MathRevolution wrote:
[Math Revolution GMAT math practice question]

$$\frac{(0.0004)(0.000005)}{200,000}$$ is equal to which of the following?

$$A. 10^{-5}$$
$$B. 10^{-4}$$
$$C. 10^{-3}$$
$$D. 10^{-2}$$
$$E. 10^{-1}$$

Hi csaluja,
The OA is flawed or the there is some typo in the question.
In the present state, it should be
$$\frac{(0.0004)(0.000005)}{200,000}=\frac{4*10^{-4}*5*10^{-6}}{20*10^4}=10^{-4-6-4}=10^{-14}$$
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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7631
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: (0.0004)(0.000005)/200,000 is equal to which of the following?  [#permalink]

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=>

$$\frac{(0.0004)(0.000005)}{200,000}$$
$$= \frac{{4*5*(0.0001)(0.000001)}}{{2*100,000}}$$
$$= \frac{(2*10^1*10^{-4}*10^{-6})}{(2*10^5)}$$
$$= \frac{(10^{-9})}{(10^{5})} = 10^{-14}$$

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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7631
GMAT 1: 760 Q51 V42 GPA: 3.82
(0.0004)(0.000005)/200,000 is equal to which of the following?  [#permalink]

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ZazouCoco wrote:
I get A. (20*10^-10) / (2*10^5)
Can someone please explain. Thank you!

There were typos in choices.
Please find the solution as above.
_________________
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7631
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: (0.0004)(0.000005)/200,000 is equal to which of the following?  [#permalink]

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csaluja wrote:

Hi experts, I was wondering could you please explain this question? I got a different answer all together.

There were typos in choices.
Please find the solution as above.
_________________
Target Test Prep Representative D
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Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6991
Location: United States (CA)
Re: (0.0004)(0.000005)/200,000 is equal to which of the following?  [#permalink]

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MathRevolution wrote:
[Math Revolution GMAT math practice question]

$$\frac{(0.0004)(0.000005)}{200,000}$$ is equal to which of the following?

$$A. 10^{-15}$$
$$B. 10^{-14}$$
$$C. 10^{-13}$$
$$D. 10^{-12}$$
$$E. 10^{-11}$$

Using scientific notation, we have:

(4 x 10^-4)(5 x 10^-6)/(2 x 10^5)

(2 x 10^-4)(5 x 10^-6)/10^5

(10^1 x 10^-10)/10^5

10^-9/10^5 = 10^-14

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: (0.0004)(0.000005)/200,000 is equal to which of the following?   [#permalink] 10 Mar 2019, 20:01
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# (0.0004)(0.000005)/200,000 is equal to which of the following?  