The value of (10^8-10^2)/(10^5-10^3) is closest to which of the following?
Options.
A) 1 B) 10 C) 10^2 D) 10^3 E) 10^4
Because the question asks for what value isclosestthe question invites approximation.   Let's look at the numerator:   10^8 - 10^2   10^8 is HUGE compared to 10^2.   So 10^8 - 10^2 is very close to 10^8 itself. (Just as 100 - 0.0001 is very close to 100 itself).   Likewise, 10^5 is HUGE compared to 10^3.   So 10^5 - 10^3 is very close to 10^5.   So we have:   10^8/10^5   or 10^(8-5) = 10^3.   Choose 10^3.
<result>D</result>
The value of (10^8-10^2)/(10^5-10^3) is closest to which of the following?