Final answer:
Addition and subtraction are commutative operations that allow transactions to work correctly regardless of operation order, unlike multiplication, division, exponentiation, and modulus which have specific rules for operation and sequencing that can impact the result.
Step-by-step explanation:
The operations of addition and subtraction are used to alter values without changing the order in which the equations can be solved - that is, they are commutative operations. For example, A + B equals B + A, regardless of whether we're working with integers, decimals, or scientific notation.
This property allows for certain non-serializable transactions to work correctly even when the order of operations is altered. On the other hand, operations like multiplication, division, exponentiation, and modulus do not necessarily preserve the commutative property, especially when dealing with containing units or different signs. Multiplication and division follow specific rules for signs - when two positive or two negative numbers are multiplied or divided, the result is positive; when they have opposite signs, the result is negative. Exponentiation and modulus operations also involve their unique sets of rules and cannot be rearranged like addition and subtraction without potentially altering the outcome.