Parentheses
Exponents and Roots
Division and Multiplication
Addition and Subtraction
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It is convenient for different people to agree on the standard order of operations. This saves complicated explanations.
The standard order of operations:terms inside bracketsexponents and rootsmultiplication and divisionaddition and subtraction
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.
One very powerful reason is: Order of operations is not something that you "do". 'Order of operations' is a rule, method of procedure, standard operating procedure, and protocol, that guides you in the effective and correct way to actually "do" the things that you "do" in arithmetic. The calculator is one place where you can 'do' them.
A standard order of operations lets you know which part of the equation gets calculated first. Without a standard order, someone might calculate 2 + 3 * 4 differently from 4 * 3 + 2, getting 20 in the first case and 14 in the second (by the way, 14 is the correct answer for both by the commonly accepted order of operations).