Answer:
1 - October 27, 1795 --- Pinckney's Treaty
2 - October 1, 1800 --- Spain's transfer of territory to France
3 - July 4, 1803 --- Louisiana Purchase
4 - July 15, 1806 --- Pike's expedition in the Southwest
Explanation:
1- The Pinckney Treaty was signed by Spain and the United States to define the borders between the United States and the Spanish colonies in North America and regulate navigation rights on the Mississippi River.
The agreement was signed in San Lorenzo de El Escorial on October 27, 1795 by Manuel de Godoy on behalf of Charles IV of Spain and Thomas Pinckney on behalf of the United States; It would be ratified by US President George Washington on March 7, 1796 in Philadelphia, and by the King of Spain in Aranjuez on April 25 of the same year.
2- Spain ceded its territories from Louisiana to France through the Treaty of San Ildefonso of 1800.
3- The Louisiana Purchase was a commercial transaction by which France sold 2 144 476 km² of territorial possessions in North America for a total price of 15 million dollars to the United States in 1803.
4- Pike's expedition was a military expedition carried out between 1806 and 1807, on behalf of the United States Government, to explore the territory of Louisiana that the United States had purchased in 1803 from the French. The expedition was commanded by Lieutenant Zebulon Pike. The expedition was essentially a failure, Pike made several mistakes and ultimately trespassed in the territory of New Spain and was captured by the Spaniards. After a brief imprisonment, Pike and most of his men were repatriated in July 1807.