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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

Q: Why does the order of operations matter?

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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.

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

(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.

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.

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

Related questions

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.

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.

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.

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).

yes

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

(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.

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.

Can all calcuator solve order of operations

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

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