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The standard order of operations follows the acronym PEMDAS. This is Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. So operations are done on expressions within parentheses first.
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The various operations within the expression are carried out using the order of operations: BIDMAS (UK) or PEMDAS (US).
because they're fundamental. They are necessary in order to do any and everything within mathematics with perhaps the exception of counting (and even then you're technically adding one) or measuring things. They are the foundation.