Oh the good old ppi/dpi thread. Quite why something so simple causes so much confusion is one of the great unsolved mysteries
EOS_JD is spot on, ppi/dpi means nothing on it's own, think of it like an exchange rate - it's useless without an amount of currency to convert - in this case the currency is pixels.
So if you've got 800 pixels and you want to translate that to paper inches how many you get depends on the exchange rate. If you're rate is 72 pixels to the inch then you'll get lots of inches, if the rate is 300 then not so many.
The image on your monitor is a fixed resolution, say 1280x1024 pixels. When you view an image at 100% then each pixel in the image is represented by one pixel on the screen. DPI/PPI isn't used to define quality, how big the image is on the screen or anything else - it's just plain ignored. The same is true of a full res image out of the camera - it might have a setting of 300 dpi but if you view it at 100% again then it will be huge. Why? Because your monitor only shows so many pixels to the inch (ppi). The 72dpi setting came from old 14" screens running at a resolution of 640x480. The resolution that gfx cards were capable of increased far quicker than the size of the monitors - to get 72dpi on a 1280x960 display you'd need a 28" monitor. If your monitor was smaller then you were effectively working at a high PPI - more pixels to the inch.
Most LCD panels are now 96 PPI - it's simple enough to check, measure the width of the active area and divide it by the horizontal resolution - that's your screen's PPI.
But DPI/PPI don't really mean anything, the only time it might be an issue is when you insert an image into Word, Publisher, etc as they will read the PPI and use it to work out the default size for the image on the page. Again you can try this easily, create two copies of an image, both 800px wide but one set to 72dpi and the other 300dpi. Now insert both into Word or whatever and they'll end up different sizes - that's DPI/PPI in action.
For most printing needs you don't need to worry about this, if you send a jpg to Photobox, etc. and tell them to print it at 30x20" they will regardless of the pixel resolution of the image. Now you can create images at the right output resolution if you know the precise DPI of the printer, most say 300 but it's often different because images are enlarged slightly for printing.
Forget PPI/DPI for the most part - if you're preparing images for web just worry about the pixel size and jpeg quality, nothing else is going to affect the quality of the result.