Division, Multiplication, Addition, and Subtraction
This is fucking so many people over… It should be limited - like Orders - to only Multiplication and Addition.
Because division is the same operation as multiplication, and subtraction is the same operation as addition, and they have the same “weight” in the order of operations (meaning, you do them left-to-right).
Because you don’t want people to know when to do Division and Subtraction? 😂
Because division is multiplication, and subtraction is addition.
No it isn’t, but they are both binary operators.
2/2 is the same as 2*½
2-2 is the same as 2+(-2)
And where are they going to do Division and Subtraction in the left to right if you’ve left them out? 🙄
Well, as I already said multiple times: Division = Multiplication and Subtraction = Addition, therefore they would be doing them together, left to right. As in: 9-3+2 would not confuse anyone who learned “Addition → Subtraction”, as it does right now.
You got that the wrong way around. Brackets have only been used in Maths for a few centuries now
How is that “having it the wrong way around”?
What does that have to do with the topic at hand? We’re talking about maths today, not centuries ago.
And you were wrong every time you said it.
No, they’re not.
Not if you left them out of the mnemonic and they didn’t know when to do them
Mnemonic without understanding what you’re doing doesn’t help. Which is why people get confused and argue online that you must do addition before subtraction, or the other way around, depending on what the mnemonic they learned was.
Understanding that subtraction is just the addition of a negative number solves this problem.
The part where you said to leave it out of the mnemonic “It should be limited - like Orders - to only Multiplication and Addition”
If you understand what is multiplication and what is addition, then you know what this doesn’t suggest ignoring division or subtraction at all.
Nope. 2/2 is not the same as 2*½. Do you need glasses or something??
OK, teach me. What’s the result of 2/2 and what’s the result of 2*½?
Because 2-2 came first, before we started using Brackets in Maths, by several hundred years
Explain how is that relevant to the discussion. Or to the example I gave, where brackets are only used for readability sake, they’re not changing the results in any way. You might as well note that as -2+2 - see? No scary brackets anymore, same result.
You glibly ignoring the history and rules of Maths 🙄
Well… yes, because we’re not talking about the history, we’re talking about the current rules.
That’s EXACTLY what the mnemonics are for! 😂 Don’t need to understand it, just follow the steps
This whole thread stemmed from the fact that some people were taught PEMDAS while others where taught PEDMAS.
Are you suggesting that the order of operations depends on your maths teacher?
No-one gets confused or angry about that
Wow, let me be the first to welcome you to the Internet! I know it might be jarring at first, but give it time and you’ll get used to the weirdness! Glad to see you joining!
There are textbooks that specifically teach to do it that way
Great! Now find one that actually talks about that, instead of one that talks about the addition of similar monomials, which is a different thing altogether.
Actually, you know what? Never mind - instead just read the part you posted, but slower. Here, let me highlight the important bit:
“Addition of similar monomials is performed by taking the arithmetical difference between the total of the positive and the total of the negative coefficients, giving it the sign of the numerically greater total, and annexing it to the common literal part”
Which actually reinforces my point.
I have never seen any textbook say to do Subtraction before Addition, everyone is taught Addition first
See? This is exactly what I was talking about. Addition is NOT first, unless it’s the first on the right. If subtraction is first, you do subtraction first.
Understanding that you can do them in any order proves there is no problem 😂
Again, let me extend a warm welcome on behalf of everyone on the Internet. I believe you’ll have a great time here.
This guy thinks 3(2+1) gets the wrong answer if you do 3(3) instead of 3*2+3*1. They will never learn anything and they will never shut up about it. This trolling bullshit is the only thing I’ve ever seen them comment.
Proceed apace if slapping that down entertains you - but proceed knowing it’s all you’re going to get.
You can say that as much as you want and you’ll still be just as wrong. Noted that, yet again, you are unable to cite any Maths textbooks that agree with you
If you understand what is multiplication and what is addition
Again, the mnemonics are for people who don’t understand, which would be people like you! 😂
What’s the result of 2/2 and what’s the result of 2*½
What’s the result of 2+2? What’s the result of 1+3? Are 2+2 and 1+3 the same? No! 😂 2 apples + 2 oranges = 4 pieces of fruit. 3 apples and 1 orange = 4 pieces of fruit. Is 2 apples and 2 oranges the same as 3 apples and 1 orange? 😂 Anything else you want to embarrass yourself about not understanding?
Explain how is that relevant to the discussion
You’re the one who brought it into the conversation - you tell me! 😂
where brackets are only used for readability sake
You’ll find most people find that less readable. Welcome to why textbooks never use them
they’re not changing the results in any way
Just making it less readable.
Well… yes, because we’re not talking about the history
You are when you start dragging brackets into something that never used brackets for hundreds of years
we’re talking about the current rules
which haven’t changed at all in all that time 😂 2-3 has never and still does not require brackets, same as when Arithmetic was first written.
This whole thread stemmed from the fact that some people were taught PEMDAS while others where taught PEDMAS.
and everyone was taught that the order of DM/MD does not matter. If it did then one of them would not exist
Are you suggesting that the order of operations depends on your maths teacher?
No! You might want to work on your comprehension as well 😂
Wow, let me be the first to welcome you to the Internet!
Been here longer than you probably, and know full well what you said is a lie 😂
Now find one that actually talks about that
Already posted a screenshot of one. You really need to work on your comprehension
the addition of similar monomials, which is a different thing altogether
Set all the pronumerals to 1, and guess what you have - the exact same thing 😂 I see you don’t understand how pronumerals work either
BTW you still have not cited any textbook whatsoever that agrees with anything that you have said, in case you needed that reminder 😂
instead just read the part you posted, but slower.
says person who doesn’t understand that pronumerals can equal 1. 🙄
the arithmetical difference between the total of the positive and the total of the negative coefficients,
Yep, 1a-2a+3a-4a=a((1+3)-(2+4)). Now set a=1 and guess what you have? 😂
giving it the sign of the numerically greater total, and annexing it to the common literal part
You telling me you don’t understand what that means? +4-2=+2. +2-4=-2. Not complicated
Which actually
proves you’re wrong 😂
Addition is NOT first
You know the textbook just literally told you it is, right?? 😂
unless it’s the first on the right
It’s first regardless of where it is. Did the textbook says it depends on where it is? No 😂
Again, let me extend a warm welcome on behalf of everyone on the Internet
Where nearly half of adults have forgotten the rules of Maths, and everyone else knows there is no problem 😂
Orders.
Brackets, Orders (powers and roots), Division, Multiplication, Addition, and Subtraction
This is fucking so many people over… It should be limited - like Orders - to only Multiplication and Addition.
Because division is the same operation as multiplication, and subtraction is the same operation as addition, and they have the same “weight” in the order of operations (meaning, you do them left-to-right).
Because you don’t want people to know when to do Division and Subtraction? 😂
No it isn’t, but they are both binary operators.
And where are they going to do Division and Subtraction in the left to right if you’ve left them out? 🙄
Because division is multiplication, and subtraction is addition.
2/2is the same as2*½2-2is the same as2+(-2)Well, as I already said multiple times: Division = Multiplication and Subtraction = Addition, therefore they would be doing them together, left to right. As in:
9-3+2would not confuse anyone who learned “Addition → Subtraction”, as it does right now.No it isn’t.
And you still have to do both
They’re equal in value, they’re not the same
You got that the wrong way around. Brackets have only been used in Maths for a few centuries now
And you were wrong every time you said it.
Not if you left them out of the mnemonic and they didn’t know when to do them
Yes, it is.
Quote the part where I said you didn’t.
They are the same.
No, they’re not.
Mnemonic without understanding what you’re doing doesn’t help. Which is why people get confused and argue online that you must do addition before subtraction, or the other way around, depending on what the mnemonic they learned was.
Understanding that subtraction is just the addition of a negative number solves this problem.
No it isn’t 😂
The part where you said to leave it out of the mnemonic “It should be limited - like Orders - to only Multiplication and Addition”
Nope. 2/2 is not the same as 2*½. Do you need glasses or something??
Because 2-2 came first, before we started using Brackets in Maths, by several hundred years
You glibly ignoring the history and rules of Maths 🙄
Still wrong 😂
That’s EXACTLY what the mnemonics are for! 😂 Don’t need to understand it, just follow the steps
No-one gets confused or angry about that. 😂 There are textbooks that specifically teach to do it that way
I have never seen any textbook say to do Subtraction before Addition, everyone is taught Addition first
Understanding that you can do them in any order proves there is no problem 😂
Yes it is.
If you understand what is multiplication and what is addition, then you know what this doesn’t suggest ignoring division or subtraction at all.
OK, teach me. What’s the result of
2/2and what’s the result of2*½?Explain how is that relevant to the discussion. Or to the example I gave, where brackets are only used for readability sake, they’re not changing the results in any way. You might as well note that as
-2+2- see? No scary brackets anymore, same result.Well… yes, because we’re not talking about the history, we’re talking about the current rules.
This whole thread stemmed from the fact that some people were taught PEMDAS while others where taught PEDMAS.
Are you suggesting that the order of operations depends on your maths teacher?
Wow, let me be the first to welcome you to the Internet! I know it might be jarring at first, but give it time and you’ll get used to the weirdness! Glad to see you joining!
Great! Now find one that actually talks about that, instead of one that talks about the addition of similar monomials, which is a different thing altogether.
Actually, you know what? Never mind - instead just read the part you posted, but slower. Here, let me highlight the important bit:
“Addition of similar monomials is performed by taking the arithmetical difference between the total of the positive and the total of the negative coefficients, giving it the sign of the numerically greater total, and annexing it to the common literal part”
Which actually reinforces my point.
See? This is exactly what I was talking about. Addition is NOT first, unless it’s the first on the right. If subtraction is first, you do subtraction first.
Again, let me extend a warm welcome on behalf of everyone on the Internet. I believe you’ll have a great time here.
This guy thinks 3(2+1) gets the wrong answer if you do 3(3) instead of 3*2+3*1. They will never learn anything and they will never shut up about it. This trolling bullshit is the only thing I’ve ever seen them comment.
Proceed apace if slapping that down entertains you - but proceed knowing it’s all you’re going to get.
You can say that as much as you want and you’ll still be just as wrong. Noted that, yet again, you are unable to cite any Maths textbooks that agree with you
Again, the mnemonics are for people who don’t understand, which would be people like you! 😂
What’s the result of 2+2? What’s the result of 1+3? Are 2+2 and 1+3 the same? No! 😂 2 apples + 2 oranges = 4 pieces of fruit. 3 apples and 1 orange = 4 pieces of fruit. Is 2 apples and 2 oranges the same as 3 apples and 1 orange? 😂 Anything else you want to embarrass yourself about not understanding?
You’re the one who brought it into the conversation - you tell me! 😂
You’ll find most people find that less readable. Welcome to why textbooks never use them
Just making it less readable.
You are when you start dragging brackets into something that never used brackets for hundreds of years
which haven’t changed at all in all that time 😂 2-3 has never and still does not require brackets, same as when Arithmetic was first written.
and everyone was taught that the order of DM/MD does not matter. If it did then one of them would not exist
No! You might want to work on your comprehension as well 😂
Been here longer than you probably, and know full well what you said is a lie 😂
Already posted a screenshot of one. You really need to work on your comprehension
Set all the pronumerals to 1, and guess what you have - the exact same thing 😂 I see you don’t understand how pronumerals work either
BTW you still have not cited any textbook whatsoever that agrees with anything that you have said, in case you needed that reminder 😂
says person who doesn’t understand that pronumerals can equal 1. 🙄
Yep, 1a-2a+3a-4a=a((1+3)-(2+4)). Now set a=1 and guess what you have? 😂
You telling me you don’t understand what that means? +4-2=+2. +2-4=-2. Not complicated
proves you’re wrong 😂
You know the textbook just literally told you it is, right?? 😂
It’s first regardless of where it is. Did the textbook says it depends on where it is? No 😂
Where nearly half of adults have forgotten the rules of Maths, and everyone else knows there is no problem 😂
Another commenter mentioned something similar, how they’re interchangeable, but I’m not sure why you say it’s fucking people over.
Because the people who learn “DM” or “MD” then spend hours online arguing that you must do one before the other.
People do be arguing, lol
Did you mean MD and DM?
Yeyeye, sorry, long day.