The TIFF format is usually not compressed, and if you use a compressed TIFF format, it is a lossless compression. JPG files, on the other hand, are always compressed, though one can choose how much they are compressed. The compression is a lossy thing as well. Once information in an image is lost via JPG compression, it can never be recovered.
If you take even the highest quality JPG file and do the following sequence of three steps 20 times, you will easily see the corruption of the image: 1) Open the JPG file, 2) Save the JPG (back to the original file), 3) Close the JPG file.
To see the difference radically, make a copy of the original JPG file to do the 20-cycle test on and then you can compare the original to the one you saved 20 times. There will be a huge difference.
The test above shows why you do NOT want to open, edit, and save a JPG more than once or possibly twice. Note the test above does not even include any editing steps.