paidlukkha wrote:
Which of the following is closest to the value of \(\frac{999}{100+1/999}\)?
a. 10
b. 1
c. 0.1
d. 0.01
e. 0.001
This question is a great example of using the answer choices to our advantage.
When we check the answer choices, we see that we have a
gigantic spread.
For example, 10 is 900% greater than 1, which is 900% greater than 0.1, which is 900% greater than 0.01, which is 900% greater than 0.001.
In comparison to the significant differences between each answer choice, I'm going to make some a incredibly minor changes to the values in our calculation.
\(\frac{999}{100+\frac{1}{999}} ≈ \frac{1000}{100} ≈ 10\)
Answer: A
Aside:
Changing \(999\) to \(1000\) represents a change of approximately 0.1%
Similarly, changing \(100+\frac{1}{999}\) to \(100\) represents a change of approximately 0.001%.
_________________
Brent Hanneson – Creator of gmatprepnow.com
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