The specificity of the number of places can be set when you create the field. ESRI's help page provides this overview:
If you find that numeric values are being cut off or rounded in the table, right-click the field, click Properties, then review the number formatting. Since six is the default number of decimal places to display in the Table window, you may need to increase this value to see the full number.
For example, if you have a table in an ArcSDE geodatabase containing a field of type double with a scale of eight, the last two digits are dropped off because the Table window only displays six decimal places by default.
Increasing the number of decimal places will allow you to see all the digits. Similarly, you can decrease the number of decimal places if you want to see fewer in the Table window.
If you want to adjust your current table view to reduce the number of zeros after you have created it. Then you can use the python parser in the tables properties section, you can enter:
That should move any trailing zeros