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The order of operations defines, in the absence of parentheses, the order in which binary operations in arithmetic (or algebra) may be carried out. If it were not used, most expressions with more than one kind of operation would have more than one answers. Alternatively, each expression would have to have a parentheses to indicate the Order of Operations and that would make expressions more difficult to read.

eg 2+3*5 = 2+15 = 17 (following Order of Ops), but

2+3*5 = 5*5 = 25 (NOT following Order of Ops).

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Q: What role does Order of Operations play in simplifying algebraic expressions What would happen if we didn't use order of operations?
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