Final answer:
The Battle of Yorktown was important because it marked the turning point in the American Revolutionary War and led to the British surrendering and recognizing the independence of the original 13 colonies.
Step-by-step explanation:
The Battle of Yorktown, also known as the Siege of Yorktown, was important because it marked the turning point in the American Revolutionary War. It was a decisive victory for the American and French forces, led by General George Washington, and it ultimately led to the British surrendering and recognizing the independence of the original 13 colonies. The battle showcased the effectiveness of combined land and naval forces in securing a strategic victory and paved the way for the Treaty of Paris in 1783, which formally ended the war.