The algebraic order of operations refers to the specific sequence in which mathematical operations should be performed in an algebraic expression. The order is as follows: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). Following these rules ensures that calculations are carried out accurately and consistently.
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Oh, dude, algebraic order of operations is like the rules you follow when you're doing math to avoid chaos and confusion. It's like PEMDAS - Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). So, basically, it's just a fancy way of saying, "Do this before that, and that before this."
BODMAS/BIDMAS is the order of operation for all mathematical calculations including ones that involve algebra. You start with brackets and work down: B - Brackets I/O - Indices/Index/Order e.g. x3 D - Division M - Multiplication A - Addition S - Subtraction
If you put in parentheses, you can change the order of operations in many cases, as parentheses come before everything in the order of operations.
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.
We have to use the order of operations so everyone solves a problem the same.
pemdas
The definition of order of operations is to use the P.E.M.D.A.S.strategy. P.E.M.D.A.S. means Parentheses, Exponents, Multiplication, Division, Adding, Subtracting. You have to use them in order. If there are no parentheses, see if there are any exponents if not move on to the next letter. HERE IS AN EXAMPLE. You use these operations and use them in order. That is why it is called order of operations(30-3) / 3=9I subtracted what was in the parentheses which was 27 then I divided it by 3. Three times 9 equals 27, so the answer was 9. Also, if there is multiplication or division or even both, do multiplication first. If there is just division do that first then just go by the order. HERE IS AN EXAMPLE3+17*5=88i did the multiplication first which was 17*5 and I got 85 + 3 and my answer was 88.----------The order of operations is an order in which you do operations (i.e. Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction). PEMDAS is a good way to remember the order, but for multiplication & division as well as addition & subtraction, it doesn't matter if division comes before multiplication or subtraction comes before addition, as long as you are doing the problem from left to right for multiplication & division and left to rightfor addition and subtraction.For example:2 x 6 + 3 x 2 / 3 - 2 + 14First you'd do 2 x 6, which is 12, and then 3 x 2, which is 6. 6 divided by 3 is 2. Then you have to go back and add 2 to 12, as we skipped over the addition sign between the 6 and 3 to begin with. 2 + 12 is 14. Subtract 2 and you get 12, and add 14 and you get 26. This got a little messy, as you have to hop around to get all the operations done in order, but the order of operations requires you to do the operations this way. 26 would be your correct answer.