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It is unknown when the idea was first created. In ancient Greek and Roman civilizations there is documentation of coins being used. Barter remained the predominate form of transfer of services in most areas until the society became more civilized. I doubt we will ever be able to know the exact answer to this question as there is indications that even pre-homosapien species used items that symbolized an "IOU" to pay goods, which is in fact money.

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Q: When was the quantity theory of money first popularized?
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