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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 is it important to perform the operations in a equation in a certain order?
Its only important if you want the right answer. If the wrong answer will suffice, than any order will do.
Why is it important to use order of operations to evaluate algebraic expressions?
I think it is important because you need to know it when you get older.
Why is important that everyone follows the same order of operations?
Simple answer - people would get different answers. When it comes to Arithmetic, there is just one correct answer and that comes by following the correct order of operations :-)
In algebra why is it important to know the order of operations for addition multiplication etc.?
That is important because: 1) The order in which operations are carried out can affect the result. 2) You can use parentheses to specify an order, but parentheses are often omitted for simplicity. In this case, you must know how to interpret an expression correctly.
