Medals vs coins

The Battle of Puebla, from which the Cinco de Mayo celebration comes from, allegedly stopped a French Confederate Arms deal.
" Why historians believe Cinco de Mayo prevented the Confederacy's win in the Civil War "
https://news.yahoo.com/why-historians-believe-cinco-mayo-181443568.html
The Mexican government issued commemorative medals? Not coins? Is there a difference?
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Comments
Generally speaking, coins have a denomination while medals do not.
Jesse C. Kraft, Ph.D.
Resolute Americana Curator of American Numismatics
American Numismatic Society
New York City
Member of the American Numismatic Association (ANA), British Numismatic Society (BNS), New York Numismatic Club (NYNC), Early American Copper (EAC), the Colonial Coin Collectors Club (C4), U.S. Mexican Numismatic Association (USMNA), Liberty Seated Collectors Club (LSCC), Token and Medal Society (TAMS), and life member of the Atlantic County Numismatic Society (ACNS).
Become a member of the American Numismatic Society!
@JesseKraft Thanks for responding. I'm new and still trying to get by bearings here. I'm in the process of focusing on the coins more.
Edit. Centenario means centennial. Ok.
" First peso
While the United States divided their dollar into 100 cents early on from 1793, post-independence Mexico retained the peso of 8 reales until 1863 when the Second Mexican Empire under Emperor Maximillan commenced the minting of pesos divided into 100 centavos. The restored Mexican republic under Benito Juarez and Porfirio Diaz continued the minting of centavo coins in base metal or silver, as well as gold coins in pesos, but it had to revert the silver 1-peso coin to the old eight reales "cap-and-ray design" from 1873-1897 after East Asian merchants rejected or discounted the newly-designed peso coins. "
https://en.m.wikipedia.org/wiki/Mexican_peso
Some basic numismatic definitions:
A "coin" is a piece of metal issued by a government for use as money and/or assigned a legal tender value as money. A "token" is a piece of metal used as money or money-substitute, but not issued by a government. A "medal" is a coin-like object not intended for use as money and with no legal tender value assigned to it, whether it was issued by a government or not.
Roman emperor Marcus Aurelius, "Meditations"
Apparently I have been awarded one DPOTD.