Moved apps to SD want redownload

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http://androidforums.com – Well i moved some big apps from the phone to the SD(I went on file manager>sdcard0>found the app>copy it>went on external_SD>paste them) when i open the app it show me network system problem or Download the app.An other app went me at google play store amd started downloading again.Non of the apps are online i mean the work without wi fi conection.Finaly i believe that if i download them again they will be saves at the phone and if i moved them at the sd they will need redownload to. NOTE:I moved with that way becouse all the other ways didn't worked.(apps2sd,and via setti (General)