Yes.
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The real number system is composed of the counting numbers (1, 2, 3...).
The unit for real numbers is the number 1.
If gold is real it will be stamped with a fineness number of 1-999 or .1-.999. It can also be stamped with a karat number of 10K, 14K, 18K, 22K or 24K.
For every real number, x, which is not zero, there exists a real number x' such that x * x' = x' * x = 1, the multiplicative identity.