The strategy of island-hopping was to capture important islands, one by one, until Japan was in easy range of American bombers.
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WWII in Europe was a Land War. WWII in the Pacific was an Ocean War. Discounting the CBI Theater (China, Burma, India). The Axis (Japan) took islands in the pacific and fortified them into military garrisons/AIRFIELDS & NAVAL BASES. These were needed to "Protect" the Empire. The Allies (US, Britain, Australia, New Zealand) fought to take those island garrisons/AIRFIELDS & NAVAL BASES back. These were needed to "Attack" the Empire. That was the strategy. The tactics were NAVAL BATTLES. Whom ever won the naval battles; won the islands.
They were able to get closer to Japan and isolate Japanese troops on bypassed islands.
There were a number of islands captured by the Allies in 'Island Hopping' which was also known as 'leapfrogging' e.g. Guadalcanal , Peleliu , Tarawa , Iwo Jima and Okinawa .
containment strategy
The capture of the airfields that the Japanese had built upon the island were important to the Allies because it would have prevented interdiction of the Japanese air-forces on Allied supply lines/shipping and the airfields , in Allied hands , were of strategic importance to the Allied strategy of 'Island Hopping' although USMC General H.M."Howlin Mad" Smith felt it was an island of limited importance and could be bypassed leaving the Japanese there stranded on the island and essentially out of the war .