Oddbean

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 @b345c2da @c444654e @b541bfe5 Damn now I'm super confused. I thought the whole thing with BEDMAS was that it didn't matter if the division or multiplication came first, but this makes it look like it does. I must be forgetting something.

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 @eb84c485 @b345c2da @c444654e 
Yes, and no! It is:
P (arentheses) (formerly B for Brackets)
E (xponents)
DM (division and multiplication)
AS (addition and subtraction)

Even though I was taught to read the equation wrong, I was taught PEDMAS/BEDMAS correct as is. However, we were inexplicitly taught that a ÷ could replace a / to indicate that everything to the right of it is a denominator. I don't think that was explicit, but rather habit gained from reading problems laid out like that.

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 @b541bfe5 @eb84c485 @b345c2da @c444654e 
I can’t buy that in-explicitly. 

If everything to the right of the divide (or slash) is to be done first then it needs brackets/parentheses. Yes it is clearer if presented as a numerator over a denominator but as noted previously a text presentation doesn’t allow for this. There may be an implicit understanding amongst some but for universal clarity parantheses are needed.

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 @b541bfe5 @eb84c485 @b345c2da @c444654e 

And the implicit multiplication of a value adjacent to an expression in parentheses doesn’t change the fundamental concept.

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 @f3268ec5 @eb84c485 @b345c2da @c444654e 

That was basically my thinking, too! That's why it always made sense to me to do it that way.

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 @b541bfe5 @eb84c485 @b345c2da @c444654e I wasn't even taught the older convention but still followed it.

Speaking as an engineer who frequently has to write out equations in proper form, and a programmer who has to implement them in a single line, there's no excuse for that equation to ever be written out in that form. You always add extra parentheses when writing in a single line to avoid exactly these confusions 😅