this post was submitted on 03 Apr 2024
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Same as PEMDAS, except:
Parentheses -> Bracket
Exponent -> Order
Multiplication <-> Division
BODMAS
I learned it as "BEDMAS"
Brackets
Exponents
(You can guess the rest)
But when I learned BEDMAS, my teacher directed us to do implied multiplication before other multiplication/division. Which, as far as I'm aware, is mathematically correct according to the proper order of operations (instead of whatever acronym summary you learned).
Before I get "umm. Acktually"d .... I know that's not the full picture of the order of operations as it should be in mathematics. But for the limited scope I learned of algebra from highschool, AFAIK, this is correct to the point that I have understanding of. I'm not a mathematician, and I work with computers all day long and they do the math for me when I need to do any of it. So higher understanding in my case is not helpful.
I'm a Maths teacher/tutor. The actual rules are Terms and The Distributive Law. There is no such thing as "implicit multiplication" (which is usually people lumping the 2 separate rules together as one and ending up with wrong answers).
order? how does that make sense? brackets alright ig
Order is often used to describe exponents when talking about functions and other mathematical properties. In a lot of cases, it's also equivalent to a degree. For example, a function y = x² - 9 is a second-order/degree polynomial.
Alternatively, one could find a second-order rate of a reaction, which means the rate of reaction is proportional to the square of a solution's concentration.
Order of magnitude? Thinking out loud.
You have the right idea, and you are right in some regards. Generally the order of magnitude is an order of 10. That is, 1350 could be represented as 1.350×10³, so the order of magnitude is the third order of 10, which is 10³ (i.e. some value x×1000).
It's actually short for "to the order of", as in 2 squared is 2 to the order of 2. i.e. same thing as Exponent or Index.
It's actually short for "to the order of", as in 2 squared is 2 to the order of 2. i.e. same thing as Exponent or Index.