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Those are conventions. Many people have gotten accustomed, over the years, to doing operations in a certain order. You can invent your own set of rules, but those would have to be clearly stated to avoid confusion... and it would serve no useful purpose.
Having SOME order of operations defined is useful, to avoid having to write parentheses any time you have more than one operation.
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Why is the order of operations important?
It's not important at all, unless for some reason you want to end up with the correct answer. If you do the operations in a different order, the result will be wrong.
Why can't you use a math calculator to do order of operations?
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.
Why is it necessary to study order of operations and laws of operations before you solve equations?
Because if you did operations in an impermissible order, or violated laws of operations, then your solution to the equation is wrong.
Why do you have to use order of operations for every problem?
Because if you perform the operations in a different order your answer will be wrong.
How does the order of operations relate to solving multi-step equations?
The order of operations relate to solving multi-step equations because you are following the order of operations just in a backwards way.
