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Which of the following is closest to (10^19-10^3)/(10^17+1)?

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Which of the following is closest to (10^19-10^3)/(10^17+1)?

by Max@Math Revolution » Mon Jul 04, 2016 10:44 pm
Which of the following is closest to (10^19-10^3)/(10^17+1)?
A. 0.01
B. 0.1
C. 0.2
D. 1
E. 10

*An answer will be posted in 2 days
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by 800_or_bust » Tue Jul 05, 2016 6:19 am
Max@Math Revolution wrote:Which of the following is closest to (10^19-10^3)/(10^17+1)?
A. 0.01
B. 0.1
C. 0.2
D. 1
E. 10

*An answer will be posted in 2 days
Factor out 10^3 from the numerator.

So we have: (10^3(10^16 - 1))/(10^17+1)

Since we are approximating the -1 and +1 are negligible (10^16 and 10^17 are humongous numbers). So ignore the ones and cancel out a term of 10^16 from numerator and denominator. We are left with 10^3/10^1 = 10^2 = 100. Since 100 is not one of the answer choices, I am going to assume the denominator is actually 10^(17+1) = 10^18. Then the answer is E.
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by Brent@GMATPrepNow » Tue Jul 05, 2016 6:27 am
Here's a similar question to practice with: https://www.beatthegmat.com/exponents-t246838.html
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by Max@Math Revolution » Wed Jul 06, 2016 3:44 pm
The answer is 100!

We made a mistake and did not put 100 as an option.
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