Great coin, Burl.
1881 was the first year of the Argentinian Republic and your first-year-of-issue coin bears a premium value in addition to its 90 percent silver composition.
My catalog says about $200 US dollars for a 10 centavos in well preserved numismatic condition. Of course it is important that your coin is free of all damage like cleaning, spots, and scratches.
And don't forget to look up the definition of the word 'catalog.' It is on our Important Terminology page.
Here are typical catalog values for non-1881 dates:
average circulated: $12
well preserved: $25
fully uncirculated: $60
For an 1881 coin, multiply these values by ten.
average circulated: $15
well preserved: $35
fully uncirculated: $75
For an 1881 coin, multiply these values by four.
average circulated: $35
well preserved: $60
fully uncirculated: $120
For an 1881 coin, multiply these values by six.
average circulated: $200
well preserved: $300
fully uncirculated: $600
These values apply to all dates, 1881, 1882, and 1883.
The 1882 coin is more common in lower grades, divide the 'worn' and 'average circulated' values by two for an 1882 coin.
Be careful of counterfeits of the valuable coins.
When doing an appraisal, Burl, I usually start with the catalogs and then check the web, usually eBay, Google image searches and my old haunts dealer sites. I could not find a single genuine 1881 Argentina 10 Centavos anywhere. And I only found one Chinese fake. One of my favorite World Coin dealers is VCoins. You might check with him.