Order of operations is very helpful in solving many problems. First, you check for parenthesis, then exponents, then multiplication/division, then subtraction/addition. For example with the problem 2+3(9-2)+(3^2), you would first look for parenthesis from left to right. The first parenthesis is (9-2) and therefore you solve the contents of those parenthesis, resulting in (7). So now your problem reads 2+3(7)+(3^2). Your second set of parenthesis (from left to right) is (3^2), which results in 9 when solved. Now, your equation is 2+3(7)+(9). There are no longer any parenthesis that are solvable (the contents of all the parenthesis are all simplified), therefore you check for multiplication/division. When a number is next to another number (or variable for that matter) without any operation signs like addition, subtraction, multiplication, or division, you will multiply those numbers. (aka 3(7)=3 times 7). So, your only (and inherently first) multiplication operation in the equation is 3(7), which results in 3 times 7, which is equal to 21. Now, your equation reads 2+21+9. You now look for subtraction/addition from left to right. The first addition problem in the equation is 2+21which results in 23, meaning your equation now looks like this: 23+9. Your next addition in the equation is 23+9, which simplifies to 32.
Therefore, 2+3(9-2)+(3^2)=32.
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No professions use order of operations. It is just a method of solving an equation.
Because if you perform the operations in a different order your answer will be wrong.
You use order of operations in equations that have more than one type of operation going on (for example, an equation with parenthesis, addition, and multiplication). You would use order of operations in equations like that so you know which operation to do first.
It is convenient for different people to agree on the standard order of operations. This saves complicated explanations.
you have to use "order of operations"