Abstract: A first description of a flooring system includes; a corrugated member containing metal and having ribs and valleys; a panel flooring member positioned over the ribs; and a fastener attaching the flooring member to one of the ribs. Each rib has a maximum transverse width of three inches, and each valley has a maximum top transverse width of three inches with such valley-to-rib width ratio having a range from 1.0 to 3.5. A second description of a flooring system includes a panel flooring member and a corrugated member similar to those of the first flooring system, but without the dimensional specifications of the ribs and valleys of the first flooring system, and includes a screw attaching the flooring member to the rib, wherein the screw has a pair of upper wings and a pair of lesser-protruding lower wings. Methods are disclosed for installing the described flooring systems.