Yes, the math textbook says exactly what I said, that it’s a multiplication. There’s no mention of it being a separate operation taking precedence. The parentheses in your example are added for clarity.
Whether you give priority to juxtapositions is an open debate with the consensus being to just use parenthesis around when writing in a single line to avoid confusion. However, there is no distribution step taking precedence, as you mentioned, and the whole debate centers around whether the writer was too lazy to add parenthesis.
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.
But factorised terms are multiplications, so they’re still following the same rules: a(b+c) = a*(b+c)
Example: 2(3+5)=16, and also 2*3+2*5=16
No, they’re Distribution done in the Brackets step, a(b+c)=(ab+ac), now solve (ab+ac)
Nope! a(b+c)=(ab+ac). 1/a(b+c)=1/(ab+ac), but 1/ax(b+c)=(b+c)/a.
(2x3+2x5) actually, or you’ll get the wrong answer when it follows a Division sign. See previous point
Nope, that’s wrong. See https://www.wolframalpha.com/input?i=10%2F2(2%2B3) for reference.
You think Maths textbooks are wrong?? 😂
See Maths textbooks for reference 😂
Yes, the math textbook says exactly what I said, that it’s a multiplication. There’s no mention of it being a separate operation taking precedence. The parentheses in your example are added for clarity.
Whether you give priority to juxtapositions is an open debate with the consensus being to just use parenthesis around when writing in a single line to avoid confusion. However, there is no distribution step taking precedence, as you mentioned, and the whole debate centers around whether the writer was too lazy to add parenthesis.
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.