[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math


View post   

File: 64 KB, 350x271, IMG_0023.jpg [View same] [iqdb] [saucenao] [google]
9340040 No.9340040 [Reply] [Original]

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

>> No.9340045

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

>> No.9340168

>>9340040
There are no such things as division and subtraction.

>> No.9340171

>>9340168
this

>> No.9340180

>>9340040
arbitrary

>> No.9340222
File: 78 KB, 412x351, 1511848095213.png [View same] [iqdb] [saucenao] [google]
9340222

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

>> No.9340282

>>9340222
Why would you learn the inverse of an operation before the operation itself?

>> No.9340304

>>9340168

What do you mean?

>> No.9340323

>>9340045
sauce?

>> No.9340341

>>9340168
every algebraist in the world would like a word with you

>> No.9340353

>>9340304
>>9340341
Subtraction is just addition of negative numbers, deal with it.

>> No.9340359

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..

>> No.9340364

>>9340359
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.

>> No.9340373

>>9340282
Exactly why he's saying we should learn to divide before we multiply

>> No.9340386

>>9340353
that doesn't mean multiplication and division don't exist as separate operations not necessarily defined based on addition

tl;dr kill yourself

>> No.9340555

>not using the superior BEDMAS

>> No.9340590
File: 27 KB, 276x260, rps.png [View same] [iqdb] [saucenao] [google]
9340590

>>9340040
>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.

>> No.9340601

>>9340386
>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

>> No.9340604

>>9340040
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)

>> No.9340612

>>9340601
none, practically, but the difference between addition and multiplication still stand

>> No.9340648

>>9340604
>Do people really need the "PEMDAS" thing?
It was useful in elementary/middle school.

>> No.9340658

>>9340040
Probably no reason.
Although the fact that + distributes over *, while * doesn't distribute over + might have some relevancy.

>> No.9340661

>>9340658
Yeee I was right
https://math.stackexchange.com/a/1385950

>> No.9342096

>>9340601
There is something called division of integers

>> No.9342111
File: 1.77 MB, 300x166, tsurka.gif [View same] [iqdb] [saucenao] [google]
9342111

>>9340590
>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

>> No.9342174
File: 21 KB, 249x234, 15122760438341.png [View same] [iqdb] [saucenao] [google]
9342174

>>9340601
>Representing irrationals as a decimal value

>> No.9342582
File: 521 KB, 853x480, brainlet.png [View same] [iqdb] [saucenao] [google]
9342582

>>9340601
>same difference
>baiting

>> No.9342983

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

>> No.9343057

>>9342983
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)

>> No.9343139

>>9340040
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.

>> No.9343364

>>9340601
>>9340353
>>9340168
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.