1. Uncirculated: An uncirculated 1896 $5 gold piece in mint state (MS-60 to MS-70) can be worth anywhere from $500 to over $2,000, depending on its exact grade.
2. Extremely Fine (XF-45): An extremely fine 1896 $5 gold coin that shows minimal signs of wear but has some light surface marks can be valued between $400 and $600.
3. Fine (F-15): A fine 1896 $5 gold coin that shows moderate wear, with visible scratches and nicks, can be worth around $300 to $450.
4. Very Good (VG-10): A very good 1896 $5 gold coin that has significant wear, with noticeable damage to the design elements and surface, can be valued between $250 and $350.
5. Good (G-4): A good 1896 $5 gold coin that is well-worn, with heavy scratches, nicks, and possibly some flattening of the design, can be worth around $200 to $250.
It's important to note that these values are general estimates and the actual value of an 1896 $5 gold piece may vary based on factors such as its specific grade, rarity, market demand, and the presence of any unique characteristics or mint errors. To obtain a more accurate appraisal of the value of a specific coin, it is recommended to consult with a professional numismatist or coin dealer.