The value of (10^7-10^2)/(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:   10^7 - 10^2   10^7 is HUGE compared to 10^2.   So 10^7 - 10^2 is very close to 10^7 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:   10^7/10^6   or 10^(7-6) = 10.   Choose 10.
<result>B</result>
The value of (10^7-10^2)/(10^6-10^3) is closest to which of the following?