New Math vs. Old Math
DirtFarmer
Loc: Escaped from the NYC area, back to MA
Longshadow wrote:
Rules... Different definitions only exist when the rules are not followed.
2(a+b) is implied multiplication of the quantity a+b.
OR, you could write it as 2a+2b...
But a computer would want to see it as 2*a+2*b.
PEMDAS says multiply 2 times a and 2 times b and add those two results.
Computers like the "*", I never used it with an implied multiplication when hand writing formulas.
You do realize that 2a is an implied "2*a", correct? Just as 2(<argument>).
The computer wants to see "2*a" though.
Rules... Different definitions only exist when the... (
show quote)
I have no problem with 2(a+b).
I have a problem with 8/2(a+b).
I know PEMDAS gives some sense of order here but not everyone knows PEMDAS so I don't know the intent of the original writer.
I think I will side with Excel, which, when presented with the original equation asks for clarification: "Do you accept this interpretation?". That would be my answer.
Maybe we should replace PEMDAS with EXCEL. More people seem to be familiar with EXCEL than PEMDAS.
DirtFarmer wrote:
I have no problem with 2(a+b).
I have a problem with 8/2(a+b).
I know PEMDAS gives some sense of order here but not everyone knows PEMDAS so I don't know the intent of the original writer.
I think I will side with Excel, which, when presented with the original equation asks for clarification: "Do you accept this interpretation?". That would be my answer.
Maybe we should replace PEMDAS with EXCEL. More people seem to be familiar with EXCEL than PEMDAS.
Or find out which algorithm EXCEL uses😳
DirtFarmer wrote:
I have no problem with 2(a+b).
I have a problem with 8/2(a+b).
I know PEMDAS gives some sense of order here but not everyone knows PEMDAS so I don't know the intent of the original writer.
I think I will side with Excel, which, when presented with the original equation asks for clarification: "Do you accept this interpretation?". That would be my answer.
Maybe we should replace PEMDAS with EXCEL. More people seem to be familiar with EXCEL than PEMDAS.
Clear to me.
PEMDAS, the base rules, works with a pencil and the mind, no computer required.
But somehow it has to get entered into the computer
properly,
that's where PEMDAS comes into play.
For what it’s worth, when entering 8/2*4, (the parens can’t be entered) both my iPhone calculator and my $4.99 solar powered Staple’s calculator agree on 16.
I originally thought it was 1 but I’ve been convinced otherwise. 😊
DirtFarmer wrote:
That's what I'm saying.
In doing so, one has to know the transcription rules, PEMDAS.
How may that don't know PEMDAS use formulas that require its use???
DeanS
Loc: Capital City area of North Carolina
I was taught tomwork inside out. In that case, answer is 1.
If outside in, answer is 16.
The part of PEMDAS that so many people forget id the closing phrase "as they occur from left to right." So, P implies that we do 2+2 first leaving 8/2(4). Then M and D being the same operation and applying the "as they occur ..." we get 8/2 = 4 and have 4(4)=16. The other problem people have is they think that addition and subtraction and multiplication and division are different. e.g. 8/2 = 8(1/2) so the original problem could be written as 8(1/2)(2+2)=? and there would be no confusion And the mnemonic could be Please Excuse My Aunt just in case her name wasn't Sally and she wasn't a dear.
For 8/2(2+2) to =1 it would need to be written 8/(2(2+2)) to indicate that the denominator of the fraction is an expression. In reality it would be written as
8
______
2(2+2)
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