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The value of (10^8-10^2)/(10^7-10^3) is closest to which of

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Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink] New post 25 Feb 2014, 19:53
10^8 is way too high from 10^2, similarly 10^7 is way too high from 10^3
No need to make any further simplification calculation, just calculate 10^8 / 10^7 = 10 = Answer = B
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Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of [#permalink] New post 08 Mar 2014, 19:49
Option B.
Factor the numerator and denominator.
{[(10^4)-10] [10^4+10]}/10^3(10^4-1)
Taking 10 common from each term in numerator.
{10^2[(10^3-1)(10^3+1)]}/10^3[(10^2-1)(10^2+1)]

After further factorization and cancellation We're left with
(111*91)/10*101=9.99 or 10

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Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of   [#permalink] 08 Mar 2014, 19:49
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