These three diagrams illustrate the root position (1 3 5), first inversion (3 5 1), and second inversion (5 1 3) of the F chord.
This example shows the root position, first inversion, second inversion, and an octave of the root position of the F chord.
One of the reasons inversions are so useful is that they enable you to find chord shapes which are close together on the piano. Here are the voicings you have been using in the previous lessons. The C chord appears in root position, the F chord is in second inversion and the G chord is in first inversion. The left hand plays the root note of each chord.
Here are some examples showing a few more typical uses of these inversions. By using inversions which are close together, it leaves you free to concentrate on other important things such as rhythm.
Here is a 12 Bar Blues making use of the same inversions. Notice the emphasis on rhythm in this example, as well as the interplay with the other instruments.