Inversion

Inversions are ways of playing the same chord to either give you a different top note, complete sequence or just allow you to move your fingers less. It is just playing a chord in a different way. In classical harmony you'd have the original chord and two inversions, as follows:

Using C as an example:

Take D minor 9 - D F A C E

N.B the below chords work on the premise your left hand is playing the 'D', or it's being covered by a bass player or some other low-end instrument.

These really come into play when using them in a chord sequence. This means you'll have a more 'solid' sounding sequence and you don't have to re-finger 4 or 5 note chords each beat.

We're going to use a simple ii V I [minor 2, dominant 5, major 1.] in C, which is Dm, G7, Cmaj. Concentrating on two of the above voicings:

LHRHchord
DF A C EDm9
GF A B EG13
CE G B DCmaj9
LHRHchord
DC E F ADm9
GB E F AG13
CB D E GCmaj9

In both instance I've highlighted which fingers would move changing between those chords.