follows the same rules you would have learnt in primary school
It's never that - that's how people are getting the wrong answer. In high school you get taught about The Distributive Law.
Thanks for the correction, you are right
The point is the correction, not who made it. Almost every e-calculator is wrong, so people need to stop trusting them. They're no more accurate than GPT. Use a proper calculator.
Only way to get 1 is to violate left to right on multiplication and division
Actually the only way to get 16 is to ignore one of more rules of Maths - sometimes it's Terms, sometimes it's The Distributive Law, but always something. If you follow all the rules of Maths you get 1.
2( is simply 2×(
No it isn't. 2(a+b)=(2a+2b) The Distributive Law
Just proves, never too late to learn :-)
I believe you meant x(y+z)=xy+xz.
Actually it should be x(y+z)=(xy+xz), as that's exactly where a lot of people go wrong. They go from 6/2(1+2) to 6/2x3, instead of to 6/(2x3), and thus end up with the wrong answer (cos that flipped the 3 from being in the denominator to being in the numerator. i.e. instead of dividing by 3 they are now multiplying by 3, all because they removed brackets prematurely).
That'd be good, but what I've found so far here is a whole bunch of people who don't like being told the actual facts of the matter! 😂
only refers to implicit multiplication involving special expressions(?) like pi, e, sqrt or log, and nothing about “regular” implicit multiplication like 2(1+3)
That was a very astute observation you made there! The fact is, for the very reason you stated, there is in fact no such thing as "implicit multiplication" - it is a term which has been made up by people who have forgotten Terms (the first thing you mentioned) and The Distributive Law (the second thing you mentioned). As you've noted., these are 2 different rules, and lumping them together as one brings exactly the disastrous results you might expect from lumping different 2 rules together as one...
See here for explanation of all the various rules, including textbook references and proofs.
I've narrowed this down to using NavigationPage.SetTitleView and have created issue 21037, which has an 806issue branch in the repro repo.
written like this (÷) means it’s a fraction?
No, that means it's a division. i.e. a÷b. To indicate it's a fraction it would need to be written as (a÷b). i.e. make it a single term. Terms are separated by operators and joined by grouping symbols (such as brackets or fraction bars).
put the whole 2(1+2) down there, there’s no reason for that.
There is - it's a single bracketed term, subject to The Distributive Law. i.e. the B in BEDMAS.
It's not at all like building a separate app. All the back-end code is identical - all you have to do is make the mobile version not take up as much screen-space, and that's not much work. e.g. on desktop I use icon and text, but on mobile icon only.
I'm not surprised. Here's the proof of the order of operations rules. Also, the equals sign wasn't invented until the 16th century, so only 500 years old at most (the earliest references to order of operations are over 400 years ago).