OK I googled it I had forgotten all about the dots the printer produces. This issue can be confusing; sure you can change the PPI on a digital image but it really does not change anything unless you resample the image to change the number of pixels. When looking at an image on screen the only thing that matters is the number of pixels. Particularly so when viewing in a browser where you want to resample your image so that it is the right size when viewed at 100% - this avoids the browser resampling the image to fit it in the space that is allocated to it.
But when you go to make a print the PPI becomes important. The correct way to do this is decide on your print size, enter that into the dialog box, set the PPI to 300 then resample the image. This changes the number of pixels so that the printed image will be 300 PPI when printed at full size. You then sharpen the image viewing it at 50 and 100% to judge on screen the sharpening applied. You can also just resize, but that just changes the PPI and the image doesn't change when viewed on screen as it has the same number of pixels - if you print it - it will change the size of the image on paper though.
Printers have various DPI settings but you really don't interact directly with them the rules of thumb I have heard are to feed a 300PPI image to a Canon Printer and a 360 PPI image to an Epson printer. You only alter the printer DPI by changing the quality setting in the printer driver and for the best work this is mostly set to it's highest setting or the recommended setting for the paper type you are using - I never even really think about it when printing once you have setup the recommended settings when entering a new paper type into the driver. The resolution is still effectively the PPI setting, the finer DPI setting is used by the printer to produce a smooth gradation between the larger pixels coming from your image file.