1) Americans justified westward expansion through the belief in "Manifest Destiny", the idea that it was God's plan for America to control all of North America.
2) They expanded westward through various means such as treaties, purchases of territory like the Louisiana Purchase, and wars with Mexico which resulted in additional land acquisitions.
3) Between 1820 and 1850, 4 million Americans moved west, helping to populate and claim more of the western lands, furthering the cause of Manifest Destiny.