The benefits of the government's decision to not back currency typically include:
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The ability to provide as much or as little money as needed to best suit the economic needs of the country.
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The ability to provide as much or as little money as needed to maintain the value of money.
The other options, particularly those related to gold, are not benefits of a currency not backed by gold, as a currency not tied to gold is more flexible and does not need to maintain a relationship with gold reserves.