User:Jiseop55406

Problem The ratio $\frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}}$ is closest to which of the following numbers?

$\text{(A)}\ 0.1 \qquad \text{(B)}\ 0.2 \qquad \text{(C)}\ 1 \qquad \text{(D)}\ 5 \qquad \text{(E)}\ 10$

Helo, $\begin{aligned} \frac{10^{2000} + 10^{2002}}{10^{2001} + 10^{2001}} & = \frac{10^{2000} (1 + 10^{2})}{10^{2000} (10 + 10)} \\ = \frac{101}{20} \\ = 5.05 \end{aligned}$ soo obv the sol is $\text{(F)} \ 420.69$ q.e.d.

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User:Jiseop55406