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...

...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 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 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...

...1-2 The Order of Operation
The order of operations used in mathematics:
1. Parentheses
2. Exponents
3. Multiplication and Division (As they appear
left to right)
4. Addition and Subtraction (As they appear
left to right)
Simplify
Simplify
each expression.
Exercises
Write
a numerical expression for each
phrase. Then simplify.
Twenty-one minus the sum of fifteen and
five.
Seventeen minus the quotient...

...Assignment 1: Number and Operations
. . . Math 1901 .
1.
−3 + 2 =
a. The temperature in the morning when you leave to come to school is -3 degrees. When the sun comes out, the temperature warms up by 2 degrees. What is the temperature after the sun comes out?
1 0 -1 -2 So by moving up 2 degrees, we see that we end up at -1 degrees. -3 To solve this problem, start by finding -3 degrees on our thermometer/ number line. We know from before, that when we are...

...strive to be the best at whatever I do. I feel that if I do not strive to be the best I will just end up average like everyone else. I was born in a small southern town in NC and I wanted to be my best therefore I choose to move to the north because in order to be the best it would not happen where I was born. I strive to give it my all even if it is not considered the best by others if I do my best at it and give it my all then it is the best for me.
If I could ask...

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