Why is it important to follow the order of operations? What are some possible outcomes when the order of operations is ignored? If you invented a new notation where the order of operations was made clear, what would you do to make it clear?

In mathematics , the order of operation also known as precedence rule is a rule used to clarify which procedures should be performed first in a given mathematical expression. When there is more than one operation involved in a mathematical problem, it must be solved by using the correct order of operations. The rules are 1. Calculations must be done from left to right. 2. Calculations in brackets (parenthesis) are done first. When you have more than one set of brackets, do the inner brackets first ie starting our work with the innermost pair, moving outward. 3. Exponents (or radicals) must be done next.

4. Multiplication and division are done next .
5. Addition and subtraction must be done next.
The acronym which can be used to remember this order is
Big Elephants Destroy Mice And Snails (Brackets, Exponents, Divide, Multiply, Add, Subtract) If the order of operation is not followed, a lot of problem is created. we get different answers for the same problem. for example 15 + 5 X 10 -- Without following the correct order, we know that 15+5=20 multiplied by 10 gives me the answer of 200. 15 + 5 X 10 -- Following the order of operations, we know that 5X10 = 50 plus 15 = 65. This is the correct answer, where as the above is wrong. If I was to invent a new notation where the order of operation was made clear, I would have used colours. I would have assigned each operator a colour.

...Student,
The Order of Operations is not one of the hardest, nor is it one of the easiest things that you will have to learn in Algebra and other mathematical classes. To begin in learning the Order of Operations, you must follow the steps, hence the "order" of the operation. To start off, the first step would be to do anything that is inside of grouping symbols ([ ], ( ), { }). Next you would have to do...

...The Order of operations
Part I-Teach someone else
Dear Friend,
I've gotten wind of your predicament concerning things such as: The Order of Operations, what they are, and all of their facets, among a few other things. I believe I can help you out with this, and took the liberty of explaining a few things concerning the aspects of the Order of Operations in the following parts of this letter.
A)...

...Order of operations is a rule to clarify confusion that may occur in an equation that has multiple different operations. This rule of Order of Operations states we must solve a complex equation by complete the operations in this order: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. We can remember this by this mnemonic: Pink, Eyes, May, Doubt, Anyone’s, Style....

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...

...Order of operations is the order in which to evaluate different operations.
The order of operations is critical to solving different algebraic problems. Without it people will get different answers when there is no right one because there is no correct order to interpret an expression.
In order of operations you evaluate from left to right
in the following...

...environment, where competition reaches outstanding levels and variables such as consumer demand are increasingly more difficult to analyze and predict, it all comes to the abilities of managers to keep their companies successful. CEO’s, marketing and operations managers, they all play a vital role in the profitability of their companies, no matter if they are small regional companies or large multinational corporations.
Since the start of the economic crisis in 2008, all...

...
A Reflection of Math
Sherrene Arceo
November 14, 2014
MTH156
Autumn G. Gabriel Ed.S.
Abstract
As I reflect back on this course all I see are added benefits. As teachers we are always learning through new experience and materials. MTH156 was a very helpful course which enabled us to learn mathematical procedures and effectively utilize them in the classroom. The art of becoming a teacher is rewarding all on its own. The joys and thrills of holding your...

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