There are many possible operations. The basic ones are addition, subtraction, multiplication and division. To that you can add reciprocals, exponentiation, logarithms, trigonometric, hyperbolic.
In fact, you can define your own operations. For example a ~ b = 3a - 2b2 is an operation.
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the order of operations
real numbers
False. Irrational numbers are real numbers.
None.
rational numbers and irrational numbers