Some forms of programming syntax, although there are the fringe cases where an equation (or function in programming) is represented by a symbol in conjunction with a parentheses input.
For example:
y(x) = 2*x+3
5+y(1) = 10, as 1 is substituted in for x in the prior equation.
Not in most programming languages, though. You cannot start names with a number. Unless you’re using some strange character that merely looks like a number, anyways. Programming with unicode can get weird but generally works without issue these days.
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.
Some forms of programming syntax, although there are the fringe cases where an equation (or function in programming) is represented by a symbol in conjunction with a parentheses input.
For example:
y(x) = 2*x+3
5+y(1) = 10, as 1 is substituted in for x in the prior equation.
And in some languages a number can be used as a name of a variable or a function, so it can be anything really
Not in Maths it can’t
No, it can only be a Factorised Term, ab+ac=a(b+c). You also can’t call a function by any letter that you’ve used as a pronumeral
Not in most programming languages, though. You cannot start names with a number. Unless you’re using some strange character that merely looks like a number, anyways. Programming with unicode can get weird but generally works without issue these days.
Wouldn’t we just assume function expressions are always “in parenthesis”? Then it’s just a substitution and no rules were changed.
No, because factorised Terms also are, ab+ac=a(b+c).
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.