What is the value of a 2003 US dime?

10¢ if you found it in change - you should be able to find many dimes that new if you check through your pocket change every so often. You should see loads of dimes with dates in the last 10 or 15 years. With a few very obvious exceptions, nearly ANY coins since the 1970s, and especially money from the last 5 years, is nothing more than common ordinary old coins worth face value.

US dimes and quarters dated 1965 and later are made of copper and nickel, not silver. If you have a coin that appears to be silver it was probably plated for use in a bracelet or similar jewelry.