Question

Why does (12+6)÷2 and 12+6÷2 not the same

Answer 1

Step-by-step explanation:

Many years ago mathematicians decided on an 'order of operations that everyone should use when performing mathematical computations from written instructions. This means that when presented with the same problem everyone using this agreed convention of the order of operations would obtain the same answer. You could think of the order of operations as a sort of 'maths grammar' which enables mathematicians to communicate with each other and with machines all over the world.

It is important to realize that the order of operations has nothing to do with underlying mathematical principles: it is just convention. Other rules could have been invented. However, the convention needs to be understood before it can be successfully applied to every problem.

The four rules below are enough for most purposes:

• RULE 1: Calculate anything in brackets first, then apply the other rules. (For further discussion about expressions with more than one set of brackets, see the next section.)

• RULE 2: If a calculation involves only addition and subtraction, work from left to right.

• RULE 3: If a calculation involves only multiplication and division, work from left to right.

• RULE 4: Do multiplication and division before addition and subtraction.

Answer 2

Explanation: It is not the same because the parentheses makes you add 12+6 = 18 then divide it by 2 and that is 9. without the parentheses you have to divide 6 and 2 and that is 3 plus 12 it is 15. That is why it is not the same answer with the parentheses you have to do it differently but without them you can have an different answer.