There's a reason maths is done
8
---------
2(2+2)
I dont think ÷ is seen past 5th grade
I think you’re right. The ÷ confuses people.
The notation, 8 ÷ 2 (2 + 2) is just one term after evaluating the contents of the parentheses. Someone mentioned distributive property. Not that you’d bother distributing with literals like this, but distributing the 2 into the (2+2) would be incorrect here. You can’t separate 2(2+2) into a separate term. Perhaps mentally, the ÷ looks like a + so you think the 2(2+2) should be evaluated as a separate term.
It sort of underscores the ambiguity in adapting a qwerty keyboard to write math notation. We’re writing the expression inline. In our minds, if we use the / instead of ÷, it seems like 8 / 2(2+2) means you’re saying there are indeed two terms, 8, over 2(2+2). But type 8/2(2+2) into google and you get the correct answer, 16. The computer interprets inline, in order of operations. If you mean the other when typing inline, you have to explicitly state it as 8/(2(2+2)).
Incidentally, you could use distribution to evaluate the expression:
8 ÷ 2 (2+2) could be rewritten as
(8÷2)(2+2) so distributing,
4(2+2) you get
8+8 which is
16