Yes, the math textbook says exactly what I said, that it’s a multiplication
Nope, they say it’s Brackets…
5(36)=(5x36) <== Brackets
bc=(3x4) <== Brackets
There’s no mention of it being a separate operation taking precedence
It’s part of the Brackets step. I have no idea what “separate operation” you’re talking about
The parentheses in your example are added for clarity
Nope. They are there because The Distributive Law requires them. “those who study algebra are required to make their calculations conform to these laws”.
Whether you give priority to juxtapositions is a
A literal Law of Maths. See textbook.
the consensus being to just use parenthesis around when writing in a single line to avoid confusion.
No it isn’t. You won’t find any Maths textbook that says that.
However, there is no distribution step taking precedence
There is the Brackets step, including Distribution, taking precedence, as per Maths textbooks 🙄
as you mentioned
As the textbooks mention
the whole debate centers around whether the writer was too lazy to add parenthesis
The only debate is by people like you ignoring what is taught in Maths textbooks.
Nowhere in your “proof” screenshots does it say anything about distribution being part of the brackets step. Distribution is a method that can help solve equations, but it isn’t required. If you have 2(3+5) you’re free to solve it as 2*3+2*5 or as 2*8, whichever is easiest. That is because juxtaposition means multiplication and nothing else.
Math textbooks almost universally will either use clear brackets or simply write divisions in 2 lines, which avoids the confusion altogether.
Nowhere in your “proof” screenshots does it say anything about distribution being part of the brackets step
Which step is first? Brackets. What do they do first in 5(36)/9? The Brackets.
What does the other textbook do with bc? Puts it in Brackets. Which step is first in order of operations? Brackets 🙄 What do they end that page with? “those who study algebra are required to make their calculations conform to these laws”. You seriously need to work on your comprehension that I need to explicitly spell out to you what the textbooks say
Distribution is a method that can help solve equations
The Property is. The Law is a rule which literally must be obeyed, when solving expressions, as per Maths textbooks 🙄
it isn’t required
Yes it is! That’s why it’s a Law 😂
If you have 2(3+5) you’re free to solve it as 23+25 or as 2*8
Nope, neither
1/2(3+5)=1/(6+10)
1/2x3+2x5=3/2+10 WRONG ANSWER
1/2x8=8/2=4 WRONG ANSWER
Welcome to why it must be in brackets, as per Maths textbooks 🙄
That is because juxtaposition means multiplication and nothing else
says person who can’t cite any Maths textbook that says that. Nope! It means it’s a Term/Product, the result of a Multiplication (or Factorisation), and nothing else…
Note that it never used the word Multiplication at all in that definition 🙄
Math textbooks almost universally will either use clear brackets or simply write divisions in 2 lines
or an obelus or slash on one line
which avoids the confusion altogether
Only people who don’t remember the rules of Maths are confused about it. Students have no trouble with it.
Distributive law means you are allowed to distribute, not that you must distribute. I’m so sorry for the amount of effort you’re futilely putting into this lmao. Nowhere in all your sources and screenshots is it stated you must distribute, and thus the entire argument breaks down.
Yep, that’s about The Distributive Property too 🙄 Every time Multiplication gets mentioned, you know they’re talking about the Property, since the Law has no multiplication in it, but The Distributive Property of Multiplication over Addition does
Distributive law means you are allowed to distribute
No, the Property does. The Law tells you that you literally must Distribute.
not that you must distribute
Because The Law says that, hence why it’s a Law 🙄
I’m so sorry for the amount of effort you’re futilely putting into this lmao
says someone who can’t even tell the difference between the Property and the Law 😂
Nowhere in all your sources and screenshots is it stated you must distribute
You must not distribute brother, lay it to rest lmao. It’s optional. Google distributive law and find me one source saying it’s imperative to distribute - there’s none. You can even confirm this is true yourself with simple examples like the ones I’ve mentioned above.
Literally a Law of Maths, but go ahead and stay in Denial about it 😂
It’s optional
You think the word “must” means it’s optional?? 😂
Google distributive law and find me one source saying it’s imperative to distribute
Go through Maths textbooks and find me one which says it isn’t, or alternatively go through dictionaries and find me one that says “must” means “optional” 😂
there’s none
He says, when I’ve already posted multiple textbooks which say it is 😂
You can even confirm this is true yourself with simple examples like the ones I’ve mentioned above
I’ve confirmed it with Maths textbooks - you know, those things you refuse to look in because you know they prove you are wrong 😂 BTW your “example above” was about The Distributive Property, as I already pointed out to you at the time
Bro directly after what you underlined it says “if you want to remove the brackets” lol. Selective reading much? “If” means optional. You are free to solve what’s inside the brackets first, before multiplying it with what’s outside.
Also, the link I posted is literally titled “distributive law”, not property. You realize a law can have conditions, right?
Quick quiz for you: what’s the result of 2(3+5)² ?
Bro directly after what you underlined it says “if you want to remove the brackets”
Yep, that’s right, and removing brackets is the first step in order of operations 😂
Selective reading much?
By you apparently.
“If” means optional
So… you’re telling me that the “B” step in BEDMAS, and the “P” step in PEMDAS, is optional? I don’t have to remove Brackets?? 😂 Better go back to school dude
You are free to solve what’s inside the brackets first, before multiplying it with what’s outside
Yep, but inside the brackets, as per the text you can see in the screenshot 😂
5(8-5)=(5x8-5x5)=(40-25)=15
5(8-5)=5(3)=(5x3)=15 <== Multiplication inside the Brackets, as per The Distributive Law
same answer both ways 😂
the link I posted is literally titled “distributive law”, not property
But has a multiply sign in it, thus proving it is the Property that they are talking about - The Distributive Property of Multiplication over Addition to call it by it’s full name
You realize a law can have conditions, right?
You realise it literally must be obeyed, right? The condition that The Distributive Law has, is “A number or letter next to a Bracket”, direct quote from the textbook, hence a(b+c)=(ab+ac), and not ax(b+c) since the a is not next to the bracket in that case
Nope, they say it’s Brackets…
5(36)=(5x36) <== Brackets
bc=(3x4) <== Brackets
It’s part of the Brackets step. I have no idea what “separate operation” you’re talking about
Nope. They are there because The Distributive Law requires them. “those who study algebra are required to make their calculations conform to these laws”.
A literal Law of Maths. See textbook.
No it isn’t. You won’t find any Maths textbook that says that.
There is the Brackets step, including Distribution, taking precedence, as per Maths textbooks 🙄
As the textbooks mention
The only debate is by people like you ignoring what is taught in Maths textbooks.
Nowhere in your “proof” screenshots does it say anything about distribution being part of the brackets step. Distribution is a method that can help solve equations, but it isn’t required. If you have 2(3+5) you’re free to solve it as 2*3+2*5 or as 2*8, whichever is easiest. That is because juxtaposition means multiplication and nothing else.
Math textbooks almost universally will either use clear brackets or simply write divisions in 2 lines, which avoids the confusion altogether.
Which step is first? Brackets. What do they do first in 5(36)/9? The Brackets.
What does the other textbook do with bc? Puts it in Brackets. Which step is first in order of operations? Brackets 🙄 What do they end that page with? “those who study algebra are required to make their calculations conform to these laws”. You seriously need to work on your comprehension that I need to explicitly spell out to you what the textbooks say
The Property is. The Law is a rule which literally must be obeyed, when solving expressions, as per Maths textbooks 🙄
Yes it is! That’s why it’s a Law 😂
Nope, neither
1/2(3+5)=1/(6+10)
1/2x3+2x5=3/2+10 WRONG ANSWER
1/2x8=8/2=4 WRONG ANSWER
Welcome to why it must be in brackets, as per Maths textbooks 🙄
says person who can’t cite any Maths textbook that says that. Nope! It means it’s a Term/Product, the result of a Multiplication (or Factorisation), and nothing else…
Note that it never used the word Multiplication at all in that definition 🙄
or an obelus or slash on one line
Only people who don’t remember the rules of Maths are confused about it. Students have no trouble with it.
Here is math for kids https://www.mathsisfun.com/definitions/distributive-law.html
Distributive law means you are allowed to distribute, not that you must distribute. I’m so sorry for the amount of effort you’re futilely putting into this lmao. Nowhere in all your sources and screenshots is it stated you must distribute, and thus the entire argument breaks down.
Yep, that’s about The Distributive Property too 🙄 Every time Multiplication gets mentioned, you know they’re talking about the Property, since the Law has no multiplication in it, but The Distributive Property of Multiplication over Addition does
No, the Property does. The Law tells you that you literally must Distribute.
Because The Law says that, hence why it’s a Law 🙄
says someone who can’t even tell the difference between the Property and the Law 😂
Yes it does liar
Not for people who know how to read 😂
You must not distribute brother, lay it to rest lmao. It’s optional. Google distributive law and find me one source saying it’s imperative to distribute - there’s none. You can even confirm this is true yourself with simple examples like the ones I’ve mentioned above.
Literally a Law of Maths, but go ahead and stay in Denial about it 😂
You think the word “must” means it’s optional?? 😂
Go through Maths textbooks and find me one which says it isn’t, or alternatively go through dictionaries and find me one that says “must” means “optional” 😂
He says, when I’ve already posted multiple textbooks which say it is 😂
I’ve confirmed it with Maths textbooks - you know, those things you refuse to look in because you know they prove you are wrong 😂 BTW your “example above” was about The Distributive Property, as I already pointed out to you at the time
Bro directly after what you underlined it says “if you want to remove the brackets” lol. Selective reading much? “If” means optional. You are free to solve what’s inside the brackets first, before multiplying it with what’s outside.
Also, the link I posted is literally titled “distributive law”, not property. You realize a law can have conditions, right?
Quick quiz for you: what’s the result of 2(3+5)² ?
Yep, that’s right, and removing brackets is the first step in order of operations 😂
By you apparently.
So… you’re telling me that the “B” step in BEDMAS, and the “P” step in PEMDAS, is optional? I don’t have to remove Brackets?? 😂 Better go back to school dude
Yep, but inside the brackets, as per the text you can see in the screenshot 😂
5(8-5)=(5x8-5x5)=(40-25)=15
5(8-5)=5(3)=(5x3)=15 <== Multiplication inside the Brackets, as per The Distributive Law
same answer both ways 😂
But has a multiply sign in it, thus proving it is the Property that they are talking about - The Distributive Property of Multiplication over Addition to call it by it’s full name
You realise it literally must be obeyed, right? The condition that The Distributive Law has, is “A number or letter next to a Bracket”, direct quote from the textbook, hence a(b+c)=(ab+ac), and not ax(b+c) since the a is not next to the bracket in that case