Order of operations - what is 6÷2(1+2) ?

[CMarangon]

Hello!

The answer is 1, but why?

We must keep in mind that the sequence of operations
is "x" and "÷" and after "-" and "+".

First solve "( )" after, "[ ]" and after "{ }"

For the given expression:

Lets assume this expressiona as
X =6÷2x(1+2)

Soving "( )"

X = 6÷2x(1+2)
X =6÷2x(3)
X = 6÷6
X =1


In RPN:
6
2
1
2
+
x
÷

Solution,
X = 1