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M13-04

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Math Expert
Joined: 02 Sep 2009
Posts: 44636

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16 Sep 2014, 00:48
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Difficulty:

25% (medium)

Question Stats:

75% (00:48) correct 25% (00:25) wrong based on 72 sessions

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Which of the following is closest to $$\frac{1}{1.001}$$?

A. 0.997
B. 0.998
C. 0.999
D. 1.000
E. 1.001
[Reveal] Spoiler: OA

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Posts: 44636

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16 Sep 2014, 00:48
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Official Solution:

Which of the following is closest to $$\frac{1}{1.001}$$?

A. 0.997
B. 0.998
C. 0.999
D. 1.000
E. 1.001

If $$a$$ is small, $$\frac{1}{(1 + a)}$$ is close to $$1 - a$$. This is because $$(1 - a)*(1 + a) = 1 - a^2$$, which is close to 1 if $$a$$ is small. So, $$\frac{1}{1.001} = \frac{1}{(1 + 0.001)}$$ is approximately $$1 - 0.001 = 0.999$$.

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Joined: 30 Dec 2016
Posts: 159

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16 Dec 2017, 08:37
Hi Bunuel. My question is what is one supposed to learn from this question?

Am I supposed to learn the property that is mentioned in the solution? Will this property come handy in any other questions?
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SandySilva

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Re: M13-04   [#permalink] 16 Dec 2017, 08:37
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