#### Answer

$\{10^{-3},10^{-1},10^0,10^{1},10^5\}$

#### Work Step by Step

To order numbers in scientific notation, we first must write each number in scientific notation.
$\{1\times10^5,1\times10^{-3},1\times10^0,1\times10^{-1},1\times10^1\}$
Then, we order the numbers first by their powers of $10$. For numbers with the same power of $10$, we arrange them by their decimal parts.
$\{1\times10^{-3},1\times10^{-1},1\times10^0,1\times10^{1},1\times10^5\}$