What are you referring to? All coins have edges, but some like cents, nickels and Sac. dollars are smooth, while others like dimes and quarters have little grooves called reeding.
If your nickel has a reeded edge you'll need to take it to an expert to be examined in person to see whether it's a normal nickel that has been altered, or was somehow incorrectly struck, although the latter is very unlikely.
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A 1957D nickel in very fine to uncirculated condition is worth $0.35. If this mispositioned 'A' is actually a 'misstrike error' (and can be verified as such), then it is worth approx. $5.00.
This tradition goes back hundreds of years. Coins made of precious metal have ridges or lettering on the edges so unscrupulous people cannot scrape a few cents worth of gold off the edge to sell and then spend the coin for its full value. Base metal such as nickel, copper, aluminum, and zinc have such a low value it would not be worth your time to 'shave' a nickel. Even though dimes, quarters, and half dollars are no longer made of silver the edge reeding has been retained. The Anthony and Sacagawea Dollars have smooth edges but the Presidential Dollars have lettered edges.
In average condition either coin is worth face value only. If it's an uncirculated or a proof coin in its original packaging, it might be worth 50 cents or so.
A quarter is bigger than a nickle. Also, a quarter has ridges all around the edge whereas a nickel has smooth edges
A nickel's value is not voided due to worn surface. It should still be worth 5 cents.