The value of (10^8-10^2)/(10^6-10^3) is closest to which of the following?
Choose the correct option:
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, 10^6 is HUGE compared to 10^3.   So 10^6- 10^3 is very close to 10^6.   So we have:   10^8/10^6   or 10^(8-6) = 10^2.   10^2hoose 10^2.
<result>C</result>
The value of (10^8-10^2)/(10^6-10^3) is closest to which of the following?