999
----------
100 + 1
---------------
999
which of the following is closest to the value above
a; 10
b; 1
c; 0.1
d; 0.01
e; 0.001
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The word in blue implies that we can BALLPARK.REINE wrote:999/(100 + 1/999)
which of the following is closest to the value above
a; 10
b; 1
c; 0.1
d; 0.01
e; 0.001
Compared to 999 and 100, 1/999 is so small that it can be ignored in the calculation.
Thus:
999/(100 + 1/999) ≈ 999/100 ≈ 1000/100 = 10.
The correct answer is A.
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We have to get the approximate value of 999/(100 + 1/999).
999/(100 + 1/999) ≈ 1000/(100 + 1/1000); '999' is approximated to '1000.'
1000/(100 + 1/1000) = 1000/(100 + 0.001) = 1000/100.001 ≈ 1000/100 ≈ 10; '100.001' is approximated to '100.'
The correct answer: A
Hope this helps!
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Hi REINE,
From the answer choices, you can see that each answer is 10 TIMES the answer that immediately follows it. As such, these answers are essentially about a 'decimal shift' and we almost certainly use estimation to get to the correct answer.
999 is really close to 1,000
100 + (1/999) is really close to 100
Thus, the approximate fraction 1000/100 is about 10
Final Answer: A
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Rich
From the answer choices, you can see that each answer is 10 TIMES the answer that immediately follows it. As such, these answers are essentially about a 'decimal shift' and we almost certainly use estimation to get to the correct answer.
999 is really close to 1,000
100 + (1/999) is really close to 100
Thus, the approximate fraction 1000/100 is about 10
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
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999/(100 + 1/999)
which of the following is closest to the value above
a) 10
b) 1
c) 0.1
d) 0.01
e) 0.001
999/(100 + 1/999) = 999/(100 + some very small value like 0.00something)
≈ 999/100.00something
≈ 999/100
≈ 1000/100
= 10