:6÷2(1+2) '''!=''' 9
== Proof of correct solution ==
''Encyclopedia Britannica'':
<blockquote>
::'''''Distributive law''''', ''in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.''
::–[https://www.britannica.com/science/distributive-law Encyclopedia Britticana]
</blockquote>
Therefore, in 6÷2(1+2)=?, we start with the <span style="color:green;"> Distributive Law</span> in the <span style="color:green;">Parenthesis</span> step of the Order of Operations.
::'''6÷2(1+2)=?'''
::'''6÷<span style="color:green;">(2*1 + 2*2)</span>=?'''
::'''6÷(2 + 4)=?'''
::'''6÷(6)=?'''
::'''6÷6=1'''
==Processing rules==