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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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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.
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.
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.
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.
