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Because if you didn't, there could be more than answer and there would be no way to decide which is correct.

For example, "10+6/2": If you do this from left to right, you get 16/2 = 8. If you follow the rules, you do the division before the addition: 10+3 = 13.

13 is correct.

If you wanted 8, you would write (10+6)/2, then you would have to simplify inside the parentheses before dividing.

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