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# Rounded to three decimal places, 1.002^4 =

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Manager
Joined: 09 Feb 2013
Posts: 114
Rounded to three decimal places, 1.002^4 =  [#permalink]

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Updated on: 16 Apr 2013, 05:17
3
9
00:00

Difficulty:

65% (hard)

Question Stats:

50% (01:35) correct 50% (01:36) wrong based on 184 sessions

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Rounded to three decimal places, 1.002^4 =

(A) 1.004
(B) 1.006
(C) 1.008
(D) 1.012
(E) 1.016

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Originally posted by emmak on 16 Apr 2013, 05:13.
Last edited by Bunuel on 16 Apr 2013, 05:17, edited 1 time in total.
Edited the question.
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Re: Rounded to three decimal places, 1.002^4 =  [#permalink]

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16 Apr 2013, 05:47
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4
$$1.002^4 = (1+2*10^-^3)^4=(1+4*10^-^6+4*10^-^3)^2=(1+0.000004+0.004)(1+0.000004+0.004)$$ get rid of 0.000004
$$(1+0.004)(1+0.004)=1+0.004+0.004+0.004*0.004$$ get rid of 0.004*0.004
$$1+0.004+0.004=1.008$$
C
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##### General Discussion
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Joined: 10 Oct 2012
Posts: 611
Re: Rounded to three decimal places, 1.002^4 =  [#permalink]

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16 Apr 2013, 06:10
1
3
emmak wrote:
Rounded to three decimal places, 1.002^4 =

(A) 1.004
(B) 1.006
(C) 1.008
(D) 1.012
(E) 1.016

As compared to 1, 0.002 is a very small quantity. Thus, we can write (1+0.002)^4 is nearly equal to (1+4*0.002) = 1.008.As the question asks for approximation to three decimal places, the further terms will anyways not come into picture.

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Re: Rounded to three decimal places, 1.002^4 =  [#permalink]

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21 Apr 2018, 19:36
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).

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Re: Rounded to three decimal places, 1.002^4 = &nbs [#permalink] 21 Apr 2018, 19:36
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