Answer
11.00275
Work Step by Step
Since the first factor has 4 decimal place and the second has 1 decimal place, the product has 5 decimal places.
$\ \ \ \ \ 2.0005$
$\underline{\times\ \ \ \ \ \ \ \ 5.5}$
$\ \ \ 1.00025$
$\underline{\ 10.00250}$
$\ 11.00275$
Estimate:
$2.0005\approx2$
$5.5\approx6$
$2\times6=12\checkmark$
