Why do we go in that order for the order of operations?

Why do we go in that order for the order of operations?

Other urls found in this thread:

math.stackexchange.com/a/1385950
twitter.com/NSFWRedditGif

It's the order that resulted in the fewest number of parentheses overall at the time when the conventions were formed

There are no such things as division and subtraction.

this

arbitrary

Why dont just teach to do the easiest operations first? Often it's easier to divide first to avoid handling larger numbers

Why would you learn the inverse of an operation before the operation itself?

What do you mean?

sauce?

every algebraist in the world would like a word with you

Subtraction is just addition of negative numbers, deal with it.

The order was arbitrary.
The rules are just so you know that A+B*C means A + (B*C) and not (A+B) * C without having to write all the parentheses out explicitly..

But operations on the same level may be performed in any order.
If you have A * B / C you can evaluate B/C first and _then_ multiply by A if it's easier.
The left-to-right rule just helps to make sure you don't miss a term.

Exactly why he's saying we should learn to divide before we multiply

that doesn't mean multiplication and division don't exist as separate operations not necessarily defined based on addition

tl;dr kill yourself

>not using the superior BEDMAS

>Always work left to right

No exponential are right to left 2^2^x = 2^(2^x)

>Why do we go in that order for the order of operations?

Because racists hate the Poles.

>that doesn't mean multiplication and division don't exist as separate operations
It's the same difference between multiplication and division. What's the difference between 10*0.5 = 10/2

Do people really need the "PEMDAS" thing?
I have always remembered it intuitively.
The order is roughly corresponding to the complexity of the operations (except parentheses)

none, practically, but the difference between addition and multiplication still stand

>Do people really need the "PEMDAS" thing?
It was useful in elementary/middle school.

Probably no reason.
Although the fact that + distributes over *, while * doesn't distribute over + might have some relevancy.

Yeee I was right
math.stackexchange.com/a/1385950

There is something called division of integers

>nignogs stole my hp48g from the computer lab
>come back the next day, whoever it was put it back where they found it
>tfw RPN masterrace

>Representing irrationals as a decimal value

>same difference
>baiting

The fuck is this shit, divide comes before multiplication you clown

Division and multiplication really don't matter; division is like multiplying a number by its fraction form (e.g. 15 / 5 is just the same as 15 * 1/5)

Parentheses are defined as "do this first". It's not technically an operation, but you still do it first.

I'll skip to addition. You do addition last because addition is an independent operation. If you're adding X to Y, it doesn't matter what Y is, the operation will still change your outcome by the same value. This is why you do it last.

Multiplication is the dependent operation. You do it first because the degree to which the operation affects your outcome is based on both operands.

Exponent isn't really an operation, it just means to multiply a certain number of times. You unpack it first as part of order of operations.

You probably feel really smart, huh budy?
Protip: Integer multiplication is just sequential addition. Why don't we remove multiplication too?

0.5 is representative of 5/10.