jcbruin wrote:

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

A. 1

B. 10

C. 10^2

D. 10^3

E. 10^4

Any thoughts on the quickest way to solve? I factored out 10^2 in the numerator and 10^3 in the denominator.

Thanks!

\(\frac{(10^8-10^2)}{(10^7-10^3)}\)

\(\frac{10^2(10^6-1)}{10^3(10^4-1)}\)

'\(1\)' is very small value compared to \(10^6\) and \(10^4\), hence we can approximate value to \(10^6\) and \(10^4\). Therefore;

\(\frac{10^2*10^6}{10^3*10^4}\)

\(\frac{10^8}{10^7} = 10^{(8-7)} = 10^1 = 10\)

Answer (B)...