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It was the Louisiana Purchase. Thomas Jefferson bought the land for four cents an acre. The final price was 15 million dollars
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The U.S. bought Spain in 1819. The president was Andrew Jackson during the time
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James K. Polk was the president at the time of the annexation. This was establish after the Mexican-American War.
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The treaty that gave the U.S. ownership of the territory is the Treaty of Guadalupe-Hidalgo. The cost was 15 million.
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The British owned the land at first. The U.S. and the British did an agreement about dividing it in half which would be modern day Oregon, Washington, Idaho, Montana, and Wyoming.
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United States agreed to pay 10 million for 29,670 square miles to Mexico for the Gadsden territory. This help resolve the problem of the Mexican border and the United States border.