6÷2(1+2) = ?
Please answer this question 🙏
1
edit : To be more clear so as to not create more confusion. The answer is that the expression by itself is simply an incorrect expression since it is ambiguous in interpretation. So for a computer programmer it is ok to say 9 bcoz in programmatic math, division and multiplication are evaluated serially
dexter000111 [#12]1
edit : To be more clear so as to not create more confusion. The answer is that the expression by itself is simply an incorrect expression since it is ambiguous in interpretation. So for a computer programmer it is ok to say 9 bcoz in programmatic math, division and multiplication are evaluated serially
I think you mean 9…. PEMDAS should go like
P
E
MD
AS
CanadianLegend [#14]I think you mean 9…. PEMDAS should go like
P
E
MD
AS
No I mean 1
Let me know if you want me to explain it
dexter000111 [#16]No I mean 1
Let me know if you want me to explain it
I understand how you got 1 but I’m saying it’s wrong, rules of PEMDAS state division and multiplication are in the same tier so they start from left to right
Unless your Bri’Ish, and use BODMAS
inafog [#4]these questions are made to confuse people out there on internet technically you can have 2 answers both are correct but for me any my common sense answer is 1
Blud it's a mathematical expression how can it have multiple answers. There is only one correct value of the expression (like every other expression) and it's 1
dexter000111 [#12]1
edit : To be more clear so as to not create more confusion. The answer is that the expression by itself is simply an incorrect expression since it is ambiguous in interpretation. So for a computer programmer it is ok to say 9 bcoz in programmatic math, division and multiplication are evaluated serially
Actually both 1 and 9 maybe correct these questions are just to start a war
CanadianLegend [#17]I understand how you got 1 but I’m saying it’s wrong, rules of PEMDAS state division and multiplication are in the same tier so they start from left to right
Unless your Bri’Ish, and use BODMAS
Yes I know what PEDMAS is. The answer is still 1 (read the expression a bit more carefully)
Again, let me know if you want me to explain it
CanadianLegend [#17]I understand how you got 1 but I’m saying it’s wrong, rules of PEMDAS state division and multiplication are in the same tier so they start from left to right
Unless your Bri’Ish, and use BODMAS
I think the only thing people remember is PEMDAS and they forget that multiplication/divison and subtraction/addition go left to right, not in the order of the acronym
deathlyclaws [#21]Actually both 1 and 9 maybe correct these questions are just to start a war
#20
Yes the question is meant to start a war that's for sure. Regardless, there's only 1 correct answer
dexter000111 [#22]Yes I know what PEDMAS is. The answer is still 1 (read the expression a bit more carefully)
Again, let me know if you want me to explain it
I want you to explain it :>
dexter000111 [#22]Yes I know what PEDMAS is. The answer is still 1 (read the expression a bit more carefully)
Again, let me know if you want me to explain it
You think because it’s in parentheses that 2(3) should override the 6/2 I presume?
dexter000111 [#12]1
edit : To be more clear so as to not create more confusion. The answer is that the expression by itself is simply an incorrect expression since it is ambiguous in interpretation. So for a computer programmer it is ok to say 9 bcoz in programmatic math, division and multiplication are evaluated serially
it's 9
Neonfreak [#25]I want you to explain it :>
The expression is 6÷2(1+2) and not 6÷2×(1+2)
Yes that × operation makes a huge difference. If the expression were written as the latter one, it would evaluate to 9. But since there is no × between them, it makes the 2 a coefficient of the bracket, and not simply a multiplier. And coefficients are evaluated first.
For example consider the expression "10a ÷ 5b" with a and b being unspecified constants. In such a case you will perform the 5×b operation before the division because it is a coefficient. This expression is (10×a)÷(5×b) and CANNOT be evaluated as (10×a÷5)×b
CanadianLegend [#27]You think because it’s in parentheses that 2(3) should override the 6/2 I presume?
#32
dexter000111 [#33]#32
Unfortunately here’s why your wrong, when something is divided by something, it is considered it’s own part, therefore it would be the expression 6/2 , making it 9, IF IT WAS TRULY 1, then it should be 6 ÷[2(2+1)], which means it would be 1, but unfortunately that is not the equation as it’s 6 ÷ 2(2+1), which means it’s(6/2)*(2+1), that 2 is not part of the (2+1) unfortunately, and this is why every math calculator thinks your right even a scientific one.
dexter000111 [#32]The expression is 6÷2(1+2) and not 6÷2×(1+2)
Yes that × operation makes a huge difference. If the expression were written as the latter one, it would evaluate to 9. But since there is no × between them, it makes the 2 a coefficient of the bracket, and not simply a multiplier. And coefficients are evaluated first.For example consider the expression "10a ÷ 5b" with a and b being unspecified constants. In such a case you will perform the 5×b operation before the division because it is a coefficient. This expression is (10×a)÷(5×b) and CANNOT be evaluated as (10×a÷5)×b
Nah it's crazy how confidently wrong you are
dexter000111 [#12]1
edit : To be more clear so as to not create more confusion. The answer is that the expression by itself is simply an incorrect expression since it is ambiguous in interpretation. So for a computer programmer it is ok to say 9 bcoz in programmatic math, division and multiplication are evaluated serially
Depending when and where you've got your education from. 1 is a very outdated answer. 9 would be the currently accepted answer. Any real mathematician wouldn't write a stupid expression like this anyways
CanadianLegend [#35]Unfortunately here’s why your wrong, when something is divided by something, it is considered it’s own part, therefore it would be the expression 6/2 , making it 9, IF IT WAS TRULY 1, then it should be 6 ÷[2(2+1)], which means it would be 1, but unfortunately that is not the equation as it’s 6 ÷ 2(2+1), which means it’s(6/2)*(2+1), that 2 is not part of the (2+1) unfortunately, and this is why every math calculator thinks your right even a scientific one.
Math in computer programming has different conventions than academic math.
I do see your point and if you're speaking in terms of computer programming then yes multiplication and division operations are evaluated serially.
But every math textbook I have used would treat a coefficient different than a multiplier.
It's a popular argument people get into all the time about how you treat the expression a÷bc. Is it (a÷b)×c or is it a÷(bc)
And the answer is that the expression is just poorly written since it is not presented in an unambiguous way. So if you're a computer programmer I can understand why you'd think 9 but from a strictly mathematical point of view it's 1
6vine [#39]Depending when and where you've got your education from. 1 is a very outdated answer. 9 would be the currently accepted answer. Any real mathematician wouldn't write a stupid expression like this anyways
Any real mathematician wouldn't write a stupid expression like this anyways
That is so true and is literally the main reason for the entire argument. It's not a mathematical expression if it's ambiguous and there's multiple ways to interpret it.
However the fact that people now consider 9 as the accepted answer is surprising to me but it's probably because people are more concerned with the programming aspect of mathematics than the scientific.
dexter000111 [#43]Any real mathematician wouldn't write a stupid expression like this anyways
That is so true and is literally the main reason for the entire argument. It's not a mathematical expression if it's ambiguous and there's multiple ways to interpret it.
However the fact that people now consider 9 as the accepted answer is surprising to me but it's probably because people are more concerned with the programming aspect of mathematics than the scientific.
Ye exactly. If coding has taught me anything, it's to add paranthesis to everything 😂
dexter000111 [#32]The expression is 6÷2(1+2) and not 6÷2×(1+2)
Yes that × operation makes a huge difference. If the expression were written as the latter one, it would evaluate to 9. But since there is no × between them, it makes the 2 a coefficient of the bracket, and not simply a multiplier. And coefficients are evaluated first.For example consider the expression "10a ÷ 5b" with a and b being unspecified constants. In such a case you will perform the 5×b operation before the division because it is a coefficient. This expression is (10×a)÷(5×b) and CANNOT be evaluated as (10×a÷5)×b
bro ur wrong
dexter000111 [#20]Blud it's a mathematical expression how can it have multiple answers. There is only one correct value of the expression (like every other expression) and it's 1
depends if you read the expression as
6/2 (1+2) which simplifies as 3 3 by using bedmas or bodmas (whatever your teachers called it)
or
6/(2*(1+2) (basically taking 1+2 as a part of the denominator
the 1st way is correct way to read it mathematically
dexter000111 [#42]Math in computer programming has different conventions than academic math.
I do see your point and if you're speaking in terms of computer programming then yes multiplication and division operations are evaluated serially.But every math textbook I have used would treat a coefficient different than a multiplier.
It's a popular argument people get into all the time about how you treat the expression a÷bc. Is it (a÷b)×c or is it a÷(bc)
And the answer is that the expression is just poorly written since it is not presented in an unambiguous way. So if you're a computer programmer I can understand why you'd think 9 but from a strictly mathematical point of view it's 1
God dammit just kiss already
dapada [#46]you can refer to google, most of the results would show you that its 9
You can refer to a scientific calculator.
Google will use the programmatic definition (which is not incorrect by any means) but there's ambiguity in this expression. And the mathematical definition should definitely be treated as being the correct one in case of an ambiguity
skatman [#47]depends if you read the expression as
6/2 (1+2) which simplifies as 3 3 by using bedmas or bodmas (whatever your teachers called it)
or
6/(2*(1+2) (basically taking 1+2 as a part of the denominator
the 1st way is correct way to read it mathematically
Where tf this man get 33 from 😭
6vine [#36]Nah it's crazy how confidently wrong you are
Just the American education system at its finest.
BayArea [#52]Just the American education system at its finest.
Pewdiepie [#41]"Ummm... According to bodmas/pemdas thi-"🤓🤓
This shit is so ambiguous. A math expression isn't like this
You are correct. A fraction should be used here.
Otherwise you run into this issue:
https://imgur.com/a/c78Wm77
dexter000111 [#32]The expression is 6÷2(1+2) and not 6÷2×(1+2)
Yes that × operation makes a huge difference. If the expression were written as the latter one, it would evaluate to 9. But since there is no × between them, it makes the 2 a coefficient of the bracket, and not simply a multiplier. And coefficients are evaluated first.For example consider the expression "10a ÷ 5b" with a and b being unspecified constants. In such a case you will perform the 5×b operation before the division because it is a coefficient. This expression is (10×a)÷(5×b) and CANNOT be evaluated as (10×a÷5)×b
first off, "10a ÷ 5b" is different from "10a ÷ (5b)"
Because we are writing divisions and fractions in a straight line like this, you need to be clear on which numbers are the denominators and which aren't. If there are more than 1 element, then group 'em together in a bracket. Else, they are considered to be separated and only the first one is the denominator.
ex:
"10a ÷ 5b" legit means "10 × a ÷ 5 × b" so only 5 is dividing 10a and b is later multiplied.
"10a ÷ (5b)" means 5 and b are together and both are the denominator in the fraction with numerator 10a.
if 2 is a coefficient of (1+2), then (1+2) has to go together with 2 under the line, like this
"6 ÷ (2(1+2))"
no parenthesis means only 2 is dividing 6 which is then multiplied with (1+2) after.
If we're to translate "6 ÷ 2(1+2)" into the bigger format it would look like this:
6
— (1 + 2) = 9
2
And then "6 ÷ (2(1+2))" (which is what you mean), would look like this:
6
———— = 1
2 (1+2)
dexter000111 [#49]You can refer to a scientific calculator.
Google will use the programmatic definition (which is not incorrect by any means) but there's ambiguity in this expression. And the mathematical definition should definitely be treated as being the correct one in case of an ambiguity
What I meant by Google, is Google Search NOT THE GOOGLE ITSELF.
Tons of credible academics have already proven that the correct answer to that question is 9.
dapada [#56]What I meant by Google, is Google Search NOT THE GOOGLE ITSELF.
Tons of credible academics have already proven that the correct answer to that question is 9.
An actual mathematician would take a look at this expression and before giving you the answer would point out that you should use proper brackets. And then he'd tell you that 1 is the mathematically correct answer whereas 9 is the programmatically correct answer
If a source has concretely stated that "the correct answer is 9" then that is a bad source since the first thing a good source in this case would point out that the expression is written incorrectly.
Trip11 [#55]first off, "10a ÷ 5b" is different from "10a ÷ (5b)"
Because we are writing divisions and fractions in a straight line like this, you need to be clear on which numbers are the denominators and which aren't. If there are more than 1 element, then group 'em together in a bracket. Else, they are considered to be separated and only the first one is the denominator.
ex:
"10a ÷ 5b" legit means "10 × a ÷ 5 × b" so only 5 is dividing 10a and b is later multiplied.
"10a ÷ (5b)" means 5 and b are together and both are the denominator in the fraction with numerator 10a.if 2 is a coefficient of (1+2), then (1+2) has to go together with 2 under the line, like this
"6 ÷ (2(1+2))"no parenthesis means only 2 is dividing 6 which is then multiplied with (1+2) after.
If we're to translate "6 ÷ 2(1+2)" into the bigger format it would look like this:6
— (1 + 2) = 9
2And then "6 ÷ (2(1+2))" (which is what you mean), would look like this:
6
———— = 1
2 (1+2)
Everything you wrote is correct and I do not disagree with any part whatsoever.
But you only explained how the expression would be treated if there was a proper use of paratheses. In this case the expression is not explicitly paranthesised which is the whole point of our discussion.
dexter000111 [#57]An actual mathematician would take a look at this expression and before giving you the answer would point out that you should use proper brackets. And then he'd tell you that 1 is the mathematically correct answer whereas 9 is the programmatically correct answer
If a source has concretely stated that "the correct answer is 9" then that is a bad source since the first thing a good source in this case would point out that the expression is written incorrectly.
Who is this actual mathematician? You?
dapada [#60]Who is this actual mathematician? You?
Yes. And my (now deceased) college professor who had a double PhD and 30 years of teaching experience.
And I also went to YouTube after some people in the thread confused me and Dr Trefor Bazett has the same answer as me, that is, it's simply an incorrectly written expression.
dexter000111 [#51]Where tf this man get 33 from 😭
meant to write 3 multipled by 3
but it italicized my text instead
very goofy ahh
skatman [#63]meant to write 3 multipled by 3
but it italicized my text instead
very goofy ahh
Ah gotcha. Goofy ahh formatting indeed
However I do not agree with the last statement you made since there is not one correct way to interpret it unless specified explicitly
dexter000111 [#64]Ah gotcha. Goofy ahh formatting indeed
However I do not agree with the last statement you made since there is not one correct way to interpret it unless specified explicitly
yes and no
the fault lies somewhat with the question
while writing on paper we skip the multiplication sign or the division sign by writing the numbers as numerators or denominators
in text you are supposed to write the signs.
regardless, (x)(y) will be read as x multiplied by y
and (1/x)(y) will be read as y/x, not 1/xy
which is what's happening here
skatman [#65]yes and no
the fault lies somewhat with the question
while writing on paper we skip the multiplication sign or the division sign by writing the numbers as numerators or denominators
in text you are supposed to write the signs.
regardless, (x)(y) will be read as x multiplied by y
and (1/x)(y) will be read as y/x, not 1/xy
which is what's happening here
Bro lol we're both saying the same thing. The question is absolutely at fault here for not being unambiguous.
And in mathematics, an unambiguous expression is simply mathematicallly INCORRECT.
So the correct answer here is that the question is wrong
dexter000111 [#51]Where tf this man get 33 from 😭
3 x 3 is what he meant which is the correct way to do it or else youd fall into a billion issues with calculating harder mathematic equations
dexter000111 [#22]Yes I know what PEDMAS is. The answer is still 1 (read the expression a bit more carefully)
Again, let me know if you want me to explain it
its literally 6/2 x 3
dexter000111 [#24]#20
Yes the question is meant to start a war that's for sure. Regardless, there's only 1 correct answer
which is 9
bonkashi [#58]all that I've learnt here is that the smartest vlr user is definitely not dexter
it also aint brobeans
Trip11 [#55]first off, "10a ÷ 5b" is different from "10a ÷ (5b)"
Because we are writing divisions and fractions in a straight line like this, you need to be clear on which numbers are the denominators and which aren't. If there are more than 1 element, then group 'em together in a bracket. Else, they are considered to be separated and only the first one is the denominator.
ex:
"10a ÷ 5b" legit means "10 × a ÷ 5 × b" so only 5 is dividing 10a and b is later multiplied.
"10a ÷ (5b)" means 5 and b are together and both are the denominator in the fraction with numerator 10a.if 2 is a coefficient of (1+2), then (1+2) has to go together with 2 under the line, like this
"6 ÷ (2(1+2))"no parenthesis means only 2 is dividing 6 which is then multiplied with (1+2) after.
If we're to translate "6 ÷ 2(1+2)" into the bigger format it would look like this:6
— (1 + 2) = 9
2And then "6 ÷ (2(1+2))" (which is what you mean), would look like this:
6
———— = 1
2 (1+2)
Ain’t no way brother copied what I said in a different format
dexter000111 [#20]Blud it's a mathematical expression how can it have multiple answers. There is only one correct value of the expression (like every other expression) and it's 1
I mean if you just write 6/(3(1+2)) or (6/3)(1+2) (or even better, use fractions, which makes it much easier to read), there is simply no doubt about what is meant. No mathematician would write an expression like this, everyone would use fractions. If you have to rely on arbitrary conventions like pemdas or whatever to get your point across, your point just wasn't clear enough