💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @ SmartmanApps @programming.dev

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22

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591

Joined

2 yr. ago

You can’t have “a math”

No, you have a branch of Mathematics.

The big stuff should happen first, then the more granular operations

The "big stuff" is stuff that is defined in terms of something else. i.e. exponents are shorthand for repeated multiplication... and multiplication is shorthand for repeated addition, hence they have to be done in that order or you get wrong answers.

My mom’s a mathematician, she got annoyed when I said that the order of operations is just arbitrary rules made up by people a couple thousand years ago

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).

thinking the funny symbols on the paper follow absolute laws

They do. Maths is universal, just like the laws of Physics (which are often written using Maths BTW).

If you agree that parenthesis go first then the equation becomes 8/2x4

No, it becomes 8/(2x4). You can't remove brackets unless there's only 1 term left inside. Removing them prematurely flips the 4 from being in the denominator to being in the numerator, hence the wrong answer.

Afaik the order of operations doesn’t have distributive property in it

The Distributive Law applies to all bracketed terms that have a coefficient. It's literally the first step in solving brackets.

The problem is that there’s no “external” parentheses to really tell us which is right: (8 / 2) * 4 or 8 / (2 * 4)

The Distributive Law tells us it's the latter.

This is the best video out there

Debunked here - she never once refers to an actual Maths textbook!

Problem with PEMDAS: Why Calculators Disagree https://youtu.be/4x-BcYCiKCk

Debunked here - she never once refers to an actual Maths textbook!

People in this thread need to watch this: https://youtu.be/lLCDca6dYpA

Debunked here. She managed to never once refer to an actual Maths textbook! Spoiler alert: everyone who has claimed it's "ambiguous" has done the same thing - no references to any Maths textbooks.

why wouldn’t it be math, especially when that would follow what you did with television

Because television is singular (a TV set) and Maths is plural, same as Bros. is the abbreviation of brothers. i.e. when abbreviating a plural you keep the "s".

Mathematica

Maths doesn’t refer to several kinds of math

It refers to all branches of Mathematics.

I don’t understand why people say Maths

Because it's plural.

every single type of Math

In other words, every branch of Mathematics.

Not sure what exactly this convention is called

It's The Distributive Law

It is a convention thing, there is no right or wrong

No, it's an actual rule, and 1 is the only correct answer here - if you got 16 then you didn't obey the rule.

I treat • and × differently, • I treat like the left side and × I treat like the right side calculation

They literally mean the same thing - just one is used in some countries and the other is used in other countries.

If you believe multiplication goes before division then 1. 8 / (2 * 4)

That's not "multiplication" though - that's The Distributive Law. Multiplication refers literally to multiplication signs.

what’s the correct one?

Yes, one is correct :-)

https://math.berkeley.edu/~gbergman/misc/numbers/ord_ops.html

The rules of Maths that he manages to completely ignore.

This particular formula is presented in a confusing way

No, it isn't. You just have to obey all the relevant rules of Maths