What is the difference between the searches on Google and adwords?The searches are totally different.Adwords global searches are different from Google keyword search.

the number that shows up on google when u search something is called serp. the number in adwords tool are called searches.
so, serp is the number of results for the given keyword, and adwords searches are the number of how many times that keyword was searched on google.

Both are different way, you can use the Google Keywords searches for SEO and Adword Keyword searches for PPC Camapiagn.