It adds them in the background, so that you don’t have to - if it didn’t it would return wrong answers - you not having to type them in doesn’t mean they aren’t getting added

I don't think you understand mathematics above the 7th-grade level you brag about teaching. No bona fides will excuse how you've acted; you have to be better. On the internet nobody knows you're a dog, and you act like a child cosplaying a teacher that students hate.

RPN does not have parentheses, any more than standard notation can have a stack. The concept does not exist. Yet both forms of equation are equally valid, but different - in the same way as peasant multiplication versus new-math multiplication. I'm not saying this for your sake because you're a broken robot. But since you're spamming everyone in this two-week-old thread, some of them are going to scroll through wondering 'is this schmuck for real?,' and they deserve to know exactly how small-minded and stubborn you are.

You're basically out here demanding that multiplication can only be done in the peasant method, so if someone's explaining it without a list of doubled numbers, they 'can't admit they're wrong.' So you're going to henpeck them one line at a time, ignoring the many ways they try to politely explain you're being a pedantic troll, and pounding books that reflect knowledge as if they define knowledge, until they all give up trying to spoon-feed you your own visible failure to teach anyone anything. Nobody's walking away from these interactions like 'oh thanks, good to know, that's perfectly clear now.' It's wall-to-wall 'I don't think you're as smart as you think you are' and 'you're really missing the point' and 'if it always gets the same answer then there's no meaningful difference.'

Yet tour dogmatism is so blatant that you're assigning Buddha nature to parentheses. Your philosophy cannot comprehend a math notation where you're even merely overreaching, let alone mistaken - so parentheses flit into being, somewhere in a stack operation between two numbers at a time. 1 2 + 3 * is not an equation with parentheses. Order of operations is baked into the order of operands. The first time I explained this to you, you had never heard of it. Yet you immediately asserted you'd found something missed by all all other people, sites, and indeed holy texts maths books.

You are a crank. Trying to 'no u' about your absence of self-awareness does not work, because you didn't predict me showing up to harass people with grade-school math while not listening. What you're doing is troll behavior. If this is how you teach children, it's enforced learning by rote, and their understanding of even basic mathematics is permanently hobbled by your smile-and-repeat-yourself rhetorical style.