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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 :-)

Q: Why is important that everyone follows the same order of operations?

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the order of operations is as follows Parentheses exponents Multiplication and division addition and subraction

So if given the equation x = 4 * 3 / 2 + 4 - 8 * 62 everyone will know how to interpret it and get the same answer

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.

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It means that the calculator can follow the order of operations and do the order of operations for you but, you need to know how to do them on your own too.

Order of Operations

the order of operations is as follows Parentheses exponents Multiplication and division addition and subraction

We have to use the order of operations so everyone solves a problem the same.

So if given the equation x = 4 * 3 / 2 + 4 - 8 * 62 everyone will know how to interpret it and get the same answer

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.

It follows the order of operations.

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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.

Order of Operations