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The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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Robert Hackler

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what Order of operations is defined as

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Q: What Order of operations is defined as?
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Why does BIMDAS work?

That is how the order of operations is defined.


Does order of operations have to be the way that it is or is it just an arbitrarily defined standard?

It wouldn't be what it is unless if it didn't have to be that way


Consider a set xabcd The number of binary operations that can be defined on 'x' is?

The number of binary operations that can be defined on a set with 4 elements is 4^(4*4) = 4^16 = 4.294.967.296


What is the reason for the order of operations?

Those are conventions. Many people have gotten accustomed, over the years, to doing operations in a certain order. You can invent your own set of rules, but those would have to be clearly stated to avoid confusion... and it would serve no useful purpose. Having SOME order of operations defined is useful, to avoid having to write parentheses any time you have more than one operation.


How can order of operations be changed?

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.


What does mean if a calculator follows 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.


Defined fraction and then the four fundamental operations?

[9+4]3


In an order of operations problem if there is a parentheses do the order of operations rules apply in the parentheses?

yes


Why is it necessary to study order of operations and laws of operations before you solve equations?

Because if you did operations in an impermissible order, or violated laws of operations, then your solution to the equation is wrong.


What do you call operations that undo each other like multiplication and division?

If defined, they are inverse operations. However, multiplication and division is a somewhat flawed example because division by 0 is not defined. So, if you have a number x, then x*0 = 0 but 0/0 is not x: it is not defined.


What does join mean in maths?

A join and meet are binary operations on the elements of a POSET, or partially ordered set. A join on a set is defined as the supremum with respect to a partial order on the set, provided it exists. A meet on a set is defined either as the unique infimum with respect to the partial order imposed on the set, if the infimum exists.


.15 0.3 0.25?

These are three numbers without any operations defined.