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Mathematicians agreed on an order of operations for the same reasons that Biologists came up with a system for naming species: To prevent confusion and miscommunication.

Consider this example:

ex1. 5 + 4 x 8 = 9 x 8 = 72

ex2. 5 + 4 x 8 = 5 + 32 = 37

Ex2 is correct. There's a big difference between 72 and 37. Having the order of operations laid out prevents confusion.

If someone wants 5 + 4 x 8 to equal 72, then they can write it:

(5 + 4) x 8 = 72

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14y ago

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