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Rounded to three decimal places, 1.002^4 =

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

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New post Updated on: 16 Apr 2013, 05:17
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Question Stats:

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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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New post 16 Apr 2013, 05:47
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\(1.002^4 = (1+2*10^-^3)^4=(1+4*10^-^6+4*10^-^3)^2=(1+0.000004+0.004)(1+0.000004+0.004)\) 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
and your result is
\(1+0.004+0.004=1.008\)
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Re: Rounded to three decimal places, 1.002^4 =  [#permalink]

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New post 16 Apr 2013, 06:10
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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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New post 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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