Short Answer 
The Battle of Okinawa, which lasted from April to June 1945, resulted in a high number of casualties, with over 75,000 American and around 110,000 Japanese personnel lost. The fierce resistance from Japanese forces influenced President Truman’s decision to drop atomic bombs on Japan, aiming to avoid further American casualties and prompt Japan’s surrender.
Step 1: Understanding the Battle of Okinawa
The Battle of Okinawa took place from April 1945 until late June 1945. It was one of the brutal encounters of World War II, culminating in an Allied victory after months of fierce fighting. More than 75,000 American soldiers lost their lives, along with around 110,000 Japanese military personnel, who showed tremendous resistance throughout the conflict.
Step 2: Assessing Casualties and Outcomes
The battle resulted in staggering casualties on both sides, highlighting the ferocity of the fighting. The high loss of life among the Japanese forces meant that there were hardly any survivors left. This tragic scenario illustrated the intense nature of the conflict and the resolve of the Japanese troops to defend their territory despite the overwhelming odds.
Step 3: Impact on U.S. Decision-Making
Observing the intense resistance during the Battle of Okinawa, President Truman recognized that an invasion of Japan would entail significant American casualties. To prevent this, he made the critical decision to drop atomic bombs on Hiroshima and Nagasaki, aiming to force Japan’s surrender. The situation underscored the heavy price of warfare and influenced strategic military decisions significantly.