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Hammurabi's Code of ancient Mesopotamian society was important because it listed the laws and the corresponding punishments.   Hammurabi's Code of ancient Mesopotamian soci â¦ ety was important because it listed the laws and the corresponding punishments.   the first time laws were put into writeing.
Hammurabi's Code of the ancient Mesopotamian society was important because it set the first written laws in human history. The code contained 282 laws written in 12 tablets â¦ in the Akkadian language which was common in Babylonia at the time [1795 - 1750 BCE]. 3 people found this useful.