An operation on a series of numbers is when you use amongst others addition, subtraction, multiplication and division. Mathematics decided the order of operations is to work out the sums in the brackets first, then exponents, then multiplications and division and finally addition and subtraction.
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additive inverse and associative property and if one is involved, then also identity
processing
algebraic expression consists of numbers and operations
All expressions combine numbers and operations!
This ensures consistency in calculations, regardless of who is performing the calculation, as long as the same order of operations is followed.