I came across https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
I came across https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
I came across >https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 >today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
I came across https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
I came across https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
When I was at school in the 1980s we were taught BODMAS which was
Brackets, Orders (or powers), Division, Multiplication, Addition, and Subtraction.
The kids of today seem to be taught PEMDAS which is Parentheses,
Exponents, Multiplication and Division (from left to right), and
Addition and Subtraction (from left to right)
Using BODMAS gives you 9 whereas PEMDAS gives you 1
So it seems its down to the D and M swapping places which then gives you
the two answers of 1 vs 9.
SH <[email protected]> wrote:
When I was at school in the 1980s we were taught BODMAS which was
Brackets, Orders (or powers), Division, Multiplication, Addition, and
Subtraction.
The kids of today seem to be taught PEMDAS which is Parentheses,
Exponents, Multiplication and Division (from left to right), and
Addition and Subtraction (from left to right)
Using BODMAS gives you 9 whereas PEMDAS gives you 1
So it seems its down to the D and M swapping places which then gives you
the two answers of 1 vs 9.
Both multiplication and division are multiplicative operators and have the same precedence. That's not possible to represent in a handy acronym, but
it means BODMAS and PEMDAS are the same.
C uses left to right ordering for multiplicative operators: https://learn.microsoft.com/en-us/cpp/c-language/precedence-and-order-of-evaluation?view=msvc-170
But this one has been doing the rounds for years. It seems that some calculators use an 'implied scaling' rule so that when you write '1/2x' the
2 binds more tightly to the x than the '/'. That may be why 2(1+2) is being computed as 6.
There is even a wikipedia page about it: https://en.wikipedia.org/wiki/Order_of_operations#Mixed_division_and_multiplication
Theo
On 11/07/2025 14:25, Theo wrote:
SH <[email protected]> wrote:
When I was at school in the 1980s we were taught BODMAS which was
Brackets, Orders (or powers), Division, Multiplication, Addition, and
Subtraction.
The kids of today seem to be taught PEMDAS which is Parentheses,
Exponents, Multiplication and Division (from left to right), and
Addition and Subtraction (from left to right)
Using BODMAS gives you 9 whereas PEMDAS gives you 1
So it seems its down to the D and M swapping places which then gives you >> the two answers of 1 vs 9.
Both multiplication and division are multiplicative operators and have the same precedence. That's not possible to represent in a handy acronym, but it means BODMAS and PEMDAS are the same.
C uses left to right ordering for multiplicative operators: https://learn.microsoft.com/en-us/cpp/c-language/precedence-and-order-of-evaluation?view=msvc-170
But this one has been doing the rounds for years. It seems that some calculators use an 'implied scaling' rule so that when you write '1/2x' the 2 binds more tightly to the x than the '/'. That may be why 2(1+2) is being
computed as 6.
There is even a wikipedia page about it: https://en.wikipedia.org/wiki/Order_of_operations#Mixed_division_and_multiplication
Theo
Starting with 6 / 2 (2+1)
PEMDAS and BODMAS tells me brackets first
so that becomes 6 / 2 x 3
Now BODMAS says divide 1st
so thats 3 x 3
then that becomes 9
Now PEMDAS tells me to multiply first so thats 6 / 6
That becomes 1......
But if its written in proper notation on paper as in
6 x 3
-
2
then its multply the 3 with the numerator whcih s 18 and then divide by
the 2 giving 9.
I think the confusion is in how the equation is written:
as in 6 / 2 x 3
vs
6 x 3
-
2
The mathematician in me would say the bottom version is correct and thus
the correct answer is 9 from a BODMAS point of view but PEMDAS seems to suggest a left to right working through the upper equation.....
I came across https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
On 11/07/2025 in message
<[email protected]> AnthonyL wrote:
I came across >https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 >today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than >multiplication has precedence over division?
In computer programming it would be 1, as expressions in brackets are evaluated first.
In the current world where we have become the 51st State of America
without any formal announcement anything goes :-(
That may be why 2(1+2) is beingAre you suggesting that it shouldn't be evaluated to 6?
computed as 6.
SH <[email protected]> wrote:
When I was at school in the 1980s we were taught BODMAS which was
Brackets, Orders (or powers), Division, Multiplication, Addition, and
Subtraction.
The kids of today seem to be taught PEMDAS which is Parentheses,
Exponents, Multiplication and Division (from left to right), and
Addition and Subtraction (from left to right)
Using BODMAS gives you 9 whereas PEMDAS gives you 1
So it seems its down to the D and M swapping places which then gives you
the two answers of 1 vs 9.
Both multiplication and division are multiplicative operators and have the >same precedence. That's not possible to represent in a handy acronym, but
it means BODMAS and PEMDAS are the same.
C uses left to right ordering for multiplicative operators: >https://learn.microsoft.com/en-us/cpp/c-language/precedence-and-order-of-evaluation?view=msvc-170
But this one has been doing the rounds for years. It seems that some >calculators use an 'implied scaling' rule so that when you write '1/2x' the
2 binds more tightly to the x than the '/'. That may be why 2(1+2) is being >computed as 6.
There is even a wikipedia page about it: >https://en.wikipedia.org/wiki/Order_of_operations#Mixed_division_and_multiplication
On 11/07/2025 in message <[email protected]> AnthonyL wrote:
I came across
https://www.facebook.com/photo/?
fbid=617963144657292&set=a.192016017252009
today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
In computer programming it would be 1, as expressions in brackets are evaluated first.
I came across https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
On 11/07/2025 13:39, AnthonyL wrote:
I came acrossJust put the expression into Wolfram Alpha for the authoritative answer
https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 >> today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
https://www.wolframalpha.com/input?i=6%2F2%281%2B2%29
On 11/07/2025 13:39, AnthonyL wrote:
I came across÷
https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 >> today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
Cut and paste it
The Casio gives the result as 1Its an american thing
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
I came across https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
Theo wrote:
That may be why 2(1+2) is beingAre you suggesting that it shouldn't be evaluated to 6?
computed as 6.
In computer programming it would be 1, as expressions in brackets are evaluated first.
No mail <[email protected]> wrote:
Theo wrote:
That may be why 2(1+2) is beingAre you suggesting that it shouldn't be evaluated to 6?
computed as 6.
In the expression 6/2(1+2) with the left to right ordering, it shouldn't.
Theo
On 11/07/2025 14:05, Jeff Gaines wrote:
In computer programming it would be 1, as expressions in brackets are
evaluated first.
It's actually language dependent - not all computers think the same.
I still bear scars from APL over 40 years ago, which IIRC worked from
the right.
Andy
I came across >https://www.facebook.com/photo/?fbid=617963144657292&set=a.192016017252009 >today.
For those who don't do Farcebook it shows a Casio fx-991ex and a
Smartphone calculating the formula:
6/2((1+2) (actually the divide symbol -:- which I can't do with old
Free Agent)
The Casio gives the result as 1
The Smartphone gives the result as 9
So I checked my Smartphone which gave 9 as did both Libre Calc and
Excel =6/2*(1+2). From what I learnt at school (and I did Advance
Maths a looong time ago even though this is arithmetic) and would say
the answer is 1.
So when did the sequence change from left to right rather than
multiplication has precedence over division?
if this was written out properly it would be clear.1. Post deliberately ambiguous maths problem to social media
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