Through a process called Island Hopping. Attack and hold islands that had a strategic value to the Allies and bypass and quarantine those that didn't.
The islands in the Pacific were important for both the Japanese and the Americans to maintain control of. Whoever was effectively able to control the islands in the Pacific could essentially control the shipping routes of the Pacific Great Circle.
They wanted to control the Pacific for the resources and power.
to retake control of the Aleutian Islands from the Japanese
The pacific war was a contest to see who could control it. In WWII, they lost that contest.
The port at Pearl Harbor gave the U.S. a power point in the Pacific. One of the primary goals of the Japanese was to control the Pacific. With that in mind U.S. control anywhere west had to be removed.
japan and the caribeeaans
Korea had been taken over by the Japanese prior to the war. Thus, one goal of the Allied Pacific war was to liberate Korea from Japanese control. Korea was not an enemy of the Americans; it was more of the damsel in distress.
The goal of the United States was to defeat the Japanese. This meant the removal of the Japanese from many islands in the Pacific Ocean, the destruction of the Japanese Navy, and the surrender of Japan.
They wanted to control the entire Pacific region.
overextended themselves instead of digging in and consolidating their gains.
Until 1942, Japan was in near complete control of the war in the Pacific. Its empire was rapidly expanded. That control was diminished with the Japanese loss in the Battle of the Coral Sea in May, 1942, which prevented an invasion of Australia. The tide was turned completely at the Battle of Midway in June where the Japanese fleet was close to decimated.After quick advances, the extension of Japanese control was halted by American victories in the Coral Sea and Midway
The Battle of Midway was a turning point of the Pacific War because it was the first significant triumph of the United States over Japan and was the first of many US counteroffensives that freed Japanese-occupied territory from Japanese control.