I love the taste of fresh ginger, but I always found I was throwing alot away. I would buy a good size piece, & then store it in my fridge. Eventually it would dry up & not be as flavourful, so into the garbage it would go.
My mom told me to keep the root in a freezer baggie & store it in the freezer. Whenever I needed some, just use a cheese grater & grate as much as I needed (no need to peel either). Worked like a charm! Easy to grate, & I have a piece that I bought 2 months ago!