Ok. to start with... if one doesn't understand the difference, there is much work to be done in your
SEO studies... a blunt fact.
I wrote something more than year ago when I used to rant about this;
The Google Toolbar PageRank Demystified
The actual PageRank is alive and well, it simply isn’t as heavily a weighted factor as is used to be and is calculated, for the most part, on the-fly ... the ToolBar PageRank, is an oft updated metric (last around April 07) that is nothing more than a dated snapshot.
Actual
PR isn’t a 0-10 scale, there are many instances in between..bla bla bla
The TBPR is only of value to the link buyers/sellers/advertisers and domain sellers. It is not much of a metric towards ranking in organic SERPs - a value metric to SEOs.
Grrrrrrrrrrrrrrrr ………. I am thinking it is about time to do another rant about this… I just hate looking like a fool ranting about what is common knowledge amongst any SANE
SEO people… which tend to be my readers these days… bwaaa ha ha ha ha ha