Answer
8.23584
Work Step by Step
Since the first factor has 4 decimal places and the second has 1 decimal place, so the product has 5 decimal places.
$\ \ \ \ \ 1.00\overset5{\overset14}7$
$\underline{\times\ \ \ \ \ \ \ \ 8.2}$
$\ \ \ 0.20\overset1094$
$\underline{\ \ \,8.03760}$
$\ \ \,8.23854$
Estimate:
$1.0047\approx1$
$8.2\approx8$
$1\times8=8\checkmark$