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Order of operations matters because you could potentially get an incorrect answer by not using it.

e.g. (/ means divide by or represents a fraction [same thing])

13+2/3 without brackets is 41/3

while (13+2)/3 = 15

Brackets

Exponents (powers)

Multiplication

Division

Addition

Subtraction

If you perform your operations by this rule you will always gain the correct answer

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Q: Why does the order of operations matter?
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Related questions

Does order matter in multiplication?

No. Multiplication is commutative so the order of the multiplicands does not matter. Multiplication is associative so the order in which the operations are carried out does not matter.


Does the order in which you perform operations in a numerical expression matter?

Yes, unless all of the operations are additions, or all of them are multiplication. Otherwise, changing the order will change the result. The order of operations is determined by parentheses, or if none are present, by the PEDMAS sequence.The order in which mathematical operations must be done has the acronym PEDMAS or PEMDAS. PEDMAS or PEMDAS, no matter how you spell it, gives the correct order for mathematical operations: 1. P - Parentheses, 2. E - Exponents, MD - Multiplication and Division, AS - Addition and Subtraction.


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.


What is a set of rules used to evaluate expression with more than one operation?

order of operations:);evaluate powers first, parenthesis second, multiplication and division third (if there is a combination of the two it doesn't matter the order you evaluate), and addition and subtraction last (like multiplication-division it doesn't matter the order you evaluate these two, a helpful tool for this step is to change all minus operations to plus negative).


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 does associative property of addition say?

(a + b) + c = a + (b + c) so that either can be written as a + b + c That is, the order in which these operations are carried out does not matter.


What is commutative and associative in math?

A binary operator is a mathematical operator that performs some operation (eg addition, multiplication) on two operands to produce a result. Commutativity is the property of some binary operations whereby, the order of the operands does not matter. For example, a + b = b + a Associativity is the property of some binary operators whereby, if there is a sequence of such operations, the order in which the operations are carried out does not matter. However, the order of the operands may affect the result. For example, (a + b) + c = a + (b + c) and so we may write them simply as a + b + c.


Are all calculators able to compute order of operations?

Can all calcuator solve order of operations


Why do you have to use the order of operations?

We have to use the order of operations so everyone solves a problem the same.


Why do you have to use order of operations for every problem?

Because if you perform the operations in a different order your answer will be wrong.