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M13-04

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M13-04 [#permalink]

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Re M13-04 [#permalink]

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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 \(1 - 0.001 = 0.999\).

Answer: C
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Re: M13-04 [#permalink]

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