A denomination is needed, post new question.
A silver dollar with the national motto on it dated 1882 is actually called a MORGAN dollar, most all US coins have this motto somewhere on the coin. It's a very common coin with a retail value of $26.00-$32.00
The last Morgan was struck in 1921. A dollar coin dated 1992 is an "American Silver Eagle" bullion coin, it's value is tied to the spot price of silver at the time of sale.
No Mexican peso notes were issued in 1882. Maybe it's a coin?
All US coins dated 1882 have the word Liberty on them, a denomination is needed.
Assuming the coin is circulated and has no mintmark, the 1882 Morgan dollar is a very common coin with retail values of $31.00-$39.00 depending on the grade of the coin.
Assuming the coin is circulated and has no mintmark, the 1882 Morgan is a high mintage common date, retail values are $17.00-$26.00 depending on the grade of the coin.
Assuming the coin is circulated and has no mintmark, the 1882 Morgan is a high mintage common date, retail values are $30.00-$39.00 depending on the grade of the coin.
7-18-11>>> Assuming the coin is circulated and has no mintmark, the 1882 Morgan is a high mintage common date, retail values are $36.00-$41.00 depending on the grade of the coin.
Assuming the coin is circulated and has no mintmark, the 1882 Morgan (not Liberty) dollar is a very common coin with retail values of $23.00-$31.00 depending on the grade of the coin.
The coin is referred to as just a "Morgan dollar" all silver dollars have "Miss Liberty" on them. An 1882 Morgan dollar is very common, circulated coins are $30.00-$37.00.
The first Morgan dollar was coined in 1878, a US dollar coin dated 1797 is a Draped Bust dollar. If you actually have a dollar coin dated 1797, take it to a coin dealer for an accurate assessment.
Assuming the coin is circulated and has no mintmarks, retail value is $26.00-$32.00 depending on how much wear the coin shows. The 1882 Morgan is a common date.