Toolbar PR checkers are sometimes different for the sole fact that they pull Google's PR for a particular page, and sometimes the toolbar isn't updated, doesn't pull correctly, etc.
Tool bar page rank is not a fractional value, it is the simple value in between the range 1 t0 10. This toolbar page rank of any site updated in some interval after the google PR update. But the page rank is complete search algorithm of Google. This is also be a fractional value. It will be update in every cache. You can image by the fact that page rank is updated by only signe link. Suppose you have update your link structure of the site then your page rank will be also updated in next cache.
There is internal pagerank, which is constantly updated and used by google, and then there is toolbar PR, which is rounded down and updated about every 3 months. Toolbar PR is always a look into the past. I wouldn't concentrate on toolbar pagerank if you are interested in rankings - focus on niche related links from authority sites (sites that already rank well for your keyword).
Yep, It's same. But maybe you can rely on google toolbar pagerank, because it's their official toolbar
Toolbar pagerank shows the value of your pagerank on a scale of 1-10, which updates every ~6 months Internal pagerank is the real value of your pagerank which google does not publish, which is dynamic Google doesnt update it's toolbar pagerank all the time to prevent people from finding out the best ways of increasing their internal pagerank.
Both are the same as toolbar is just one of the avenue that makes the 'Pagerank' visible to you! Regards, RightMan
Your URL's "actual" Google Page Rank is the one that is the ranking factor. It's the one that you will NEVER know the "real" value for. It's the one that is constantly being updated for each URL in Google's index as they continuously index the web. The Toolbar PageRank is a logrithmic mapping or scaling of your actual PageRank. It's for all practical purposes meaningless. It's NEVER accurate. It's ALWYS out fo date. It's the only "indication" of what a page's page rank was at SOME point in time only you never even know when that point of time was. Basically, every few months Google takes a snapshot of their index. They map the actual PageRank for every URL in their index at that time to a 0-10 scale that is logrithmic (exponential). This entire process can take weeks. Then they publish an update to the Toolbar PR. The day the update comes out, it is already weeks out of date.