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GMATGuruNY
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Please post the COMPLETE problem, ALONG WITH THE ANSWER CHOICES.
Since the question stems asks for an APPROXIMATION -- and the answer choices are spread out -- we can safely ignore the values in red:
(10�-10²)/(10�-10³) ≈ 10�/10� = 10.
The correct answer is B.
In the expression above, the values in blue are HUGE, while the values in red are RELATIVELY SMALL.The value of (10�-10²)/(10�-10³) is closest to which of the following?
A. 1
B. 10
C. 10²
D. 10³
E. 10�
Since the question stems asks for an APPROXIMATION -- and the answer choices are spread out -- we can safely ignore the values in red:
(10�-10²)/(10�-10³) ≈ 10�/10� = 10.
The correct answer is B.
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Brent@GMATPrepNow
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Since the answer choices are so spread apart, we can be quite aggressive with out estimation.The value of (10� - 10²)/(10� - 10³) is closest to which of the following?
A. 1
B. 10
C. 10²
D. 10³
E. 10�
First, 10^8 - 10^2 can be rounded to 10^8
Is this reasonable? Well, 10^8 equals 100,000,000, so subtracting 10^2 (aka 100) from 100,000,000 still leaves us with about 100,000,000
Similarly, 10^7 - 10^3 can be rounded to 10^7 (10,000,000 - 1000 is pretty close to 10,000,000)
So, by estimating, we get:
(10^8 - 10^2)/(10^7 - 10^3) = (10^8)/(10^7) = 10^1 = [spoiler]10 = B[/spoiler]
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Brent
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Hi dunnec3,
To prove the point that Mitch made, consider 10^8 vs. (10^8 - 10^2)....
10^8 = 100,000,000
10^2 = 100
Difference = 99,999,900
As far as this question is concerned, 100,000,000 is essentially the same as 99,999,900.
GMAT assassins aren't born, they're made,
Rcih
To prove the point that Mitch made, consider 10^8 vs. (10^8 - 10^2)....
10^8 = 100,000,000
10^2 = 100
Difference = 99,999,900
As far as this question is concerned, 100,000,000 is essentially the same as 99,999,900.
GMAT assassins aren't born, they're made,
Rcih
