Presuming PEMDAS is our order of operations and the 5 next to the parentheses indicates multiplication…
2+5(8-5) -> 2+5(3) -> 2+15=17
Other than adding a multiplication indicator next to the left parentheses for clarification (I believe it’s * for programming and text chat purposes, a miniature “x” or dot for pen and paper/traditional calculators), this seems fine, yeah.
…I worry about how many people may not understand how to solve equations like these.
I don’t think you’re right. The wiki page literally uses a similar equation as an example of “elementary arithmetic.” It also uses a similar one, but with variables, as an example in “elementary algebra.” That implies that yes, this is arithmetic, and the introduction of variables is what makes it algebra.
It doesn’t matter what course finally teaches it to you. That could be just out of convenience, not by definition part of that domain. It’s been ages since I took it, though I could swear I learned this in pre-algebra (meaning before algebra), or earlier. I could be wrong on this though. Again, it’s been a very long time.
You’re very rude. Also, Ill informed, and you think you’re smarter than you are. For example, this:
as an example in “elementary algebra.”
Algebra isn’t taught until high school
Elementary doesn’t mean elementary school. Do you think elementary particles are the ones they teach you in elementary school? Lol. Elementary means fundamental or basic.
The clouds could part, revealing an unmistakable divine presence, where a herald of angels trumpet, and the creator of the universe tells this guy he’s being a hypocritical crank, and he’d bicker until god himself said “Stuff this” and moved on.
Dude, there are math geniuses, who were powerhouses in the field, who were wrong about some things. Do you think you’re above them?
Which therefore contradicts your argument about it being part of Arithmetic, which is taught in elementary school, Algebra isn’t
I don’t think you understood that. Elementary particles are taught in undergrad physics, not elementary school. They’re elementary because they’re fundamental, not because of when they’re taught. Elementary school teaches you the fundamentals to your future education. That’s why it’s called that, not because they teach you everything that uses the word “elementary.” Also, many things are fundamental (elementary) to their fields that won’t be taught to elementary school students. The sharing a word does not make them related.
What do you expect to happen when you call a Maths teacher wrong about Maths?
I didn’t say you were wrong about math. I said you were wrong about English that is used in relation to math. Clearly this isn’t a strong suit of yours, and that’s fine. However, stop acting like you know everything, because you clearly don’t. You’re using some very strange logic to argue you’re right, and it doesn’t make any sense.
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.
The way I was taught growing up, brackets are [these]. Parenthesis are (these).
Yes, technically the latter are also brackets. But they can also be called parenthesis, whereas the former is exclusively a bracket. So we were taught to call them separate words to differentiate while doing equations.
I’m a theoretical physics grad student and a night school maths teacher, I have never heard this distinction. People in academia around me call them round and square brackets.
It’s a US vs UK (and probably others) distinction. The ( ) are almost never called brackets in the US, unless it’s a regional thing I’m not aware of. Also the [ ] didn’t get used in any math classes I was in the US up through calculus except for matrices.
Presuming PEMDAS is our order of operations and the 5 next to the parentheses indicates multiplication…
2+5(8-5) -> 2+5(3) -> 2+15=17
Other than adding a multiplication indicator next to the left parentheses for clarification (I believe it’s * for programming and text chat purposes, a miniature “x” or dot for pen and paper/traditional calculators), this seems fine, yeah.
…I worry about how many people may not understand how to solve equations like these.
No, it indicates Distribution, a(b+c)=(ab+ac), 5(8-5)=(5x8+5x5).
That’s not even an equation, just basic arithmetic
Basic Algebra actually. Students aren’t taught the Distributive Law until they start on Algebra
Technically not algebra, right? Algebra is where you move things around and solve for variables, and that kind of thing. This is just arithmetic.
No, it actually is Algebra. The Distributive Law isn’t taught to students until they start on Algebra.
There’s no a(b+c) in Arithmetic.
I don’t think you’re right. The wiki page literally uses a similar equation as an example of “elementary arithmetic.” It also uses a similar one, but with variables, as an example in “elementary algebra.” That implies that yes, this is arithmetic, and the introduction of variables is what makes it algebra.
It doesn’t matter what course finally teaches it to you. That could be just out of convenience, not by definition part of that domain. It’s been ages since I took it, though I could swear I learned this in pre-algebra (meaning before algebra), or earlier. I could be wrong on this though. Again, it’s been a very long time.
You don’t think Maths textbooks are right??
is full of disinformation. Note that they literally never cite any Maths textbooks
And whichever Joe Blow My Next Door Neighbour wrote that is wrong
Algebra isn’t taught until high school
No, anything with a(b+c) is Algebra, taught in Year 7
and the rules of Algebra, which includes a(b+c)=(ab+ac). There is no such rule in Arithmetic.
It does if you’re going to argue over whether it’s Arithmetic or Algebra.
The Distributive Law is 100% part of Algebra. It’s one of the very first things taught (right after pronumerals and substitution).
I teach it. We teach it to Year 7, at the start of Algebra
You’re very rude. Also, Ill informed, and you think you’re smarter than you are. For example, this:
Elementary doesn’t mean elementary school. Do you think elementary particles are the ones they teach you in elementary school? Lol. Elementary means fundamental or basic.
The clouds could part, revealing an unmistakable divine presence, where a herald of angels trumpet, and the creator of the universe tells this guy he’s being a hypocritical crank, and he’d bicker until god himself said “Stuff this” and moved on.
The creator of the universe made the laws of nature, which gave rise to the rules of Maths, which can be found in Maths textbooks 😂
What do you expect to happen when you call a Maths teacher wrong about Maths?
Maths teachers are ill informed about Maths?? 😂
Which therefore contradicts your argument about it being part of Arithmetic, which is taught in elementary school, Algebra isn’t
Dude, there are math geniuses, who were powerhouses in the field, who were wrong about some things. Do you think you’re above them?
I don’t think you understood that. Elementary particles are taught in undergrad physics, not elementary school. They’re elementary because they’re fundamental, not because of when they’re taught. Elementary school teaches you the fundamentals to your future education. That’s why it’s called that, not because they teach you everything that uses the word “elementary.” Also, many things are fundamental (elementary) to their fields that won’t be taught to elementary school students. The sharing a word does not make them related.
I didn’t say you were wrong about math. I said you were wrong about English that is used in relation to math. Clearly this isn’t a strong suit of yours, and that’s fine. However, stop acting like you know everything, because you clearly don’t. You’re using some very strange logic to argue you’re right, and it doesn’t make any sense.
You’re right, that’s what I meant. Fixed it, thanks!
Fair enough, I’ve heard “math problem” and “math equation” used interchangeably.
Also you would be surprised how many people do not know basic algebra, at least in the US rofl
You. You are one of them bc you do not know what an equation is.
There is no algebra here. This is arithmetic.
You are one of the people who doesn’t know what a(b+c) is
Yes there is, 5(8-5).
There’s no a(b+c) in Arithmetic
When I made my example, I used an algebraic expression, but yeah, the original question was arithmetic, sorry. Not very good at explaining things XD
No, it’s actually Algebra. There is no a(b+c) in Arithmetic
Algebra has horrible syntax. Way too much implications.
Implications or assignment? They didn’t specify notation.
Umm, neither?? 😂
a(b+c)=(ab+ac) is taught in Algebra, The Distributive Law, it can’t mean anything else - it’s the reverse operation to Factorising ab+ac=a(b+c).
While I never failed a math class, I also never went past high school. When would your presumptions NOT be true?
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.
Multiplication sign is not required in situations like this. Same with unknowns - you don’t have to write
2*x, you just write2x.I prefer BM-DAS, no one’s out here doing exponents, and no one calls brackets “parentheses”…
The way I was taught growing up, brackets are [these]. Parenthesis are (these).
Yes, technically the latter are also brackets. But they can also be called parenthesis, whereas the former is exclusively a bracket. So we were taught to call them separate words to differentiate while doing equations.
They’re all brackets. Parentheses is actually the part inside the ().
I’m a theoretical physics grad student and a night school maths teacher, I have never heard this distinction. People in academia around me call them round and square brackets.
It’s a US vs UK (and probably others) distinction. The ( ) are almost never called brackets in the US, unless it’s a regional thing I’m not aware of. Also the [ ] didn’t get used in any math classes I was in the US up through calculus except for matrices.
Interesting! Nobody at my institute is a native English speaker. They’re from several European and some Asian and south American countries.
Yeah, but as an adult it depends entirely on whether you’re in an industry or hobby that requires that level of bracket nuance/exponents.
Most of us are just trying to remember the basics.
I learnt it as BODMAS (brackets, orders, division and multiplication, addition and subtraction).
Edit: I see we’re repeating points from the earlier posts down there 👇 (with default sort).