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

[toml_12953]

(12-21-2020 08:39 PM)EugeneNine Wrote:  I was always taught that you do the () first (without mention of implied * or not)

So 6÷2(1+2) should simplify to
6÷2(3)
6÷6
1

or distribute:
6÷(2+4)
6÷6
1

notice if you tried without doing the () first the distributive property wouldn't work properly
6÷2*3
3*3
9
or
6÷2+4
3+4
7

So you have to do the () first for the distributive property to work.

But that's only if you multiply (or distribute) the 2 by what's in the parentheses before you do the division.