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New Math vs. Old Math
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Aug 13, 2021 16:44:04   #
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.

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Aug 13, 2021 16:58:41   #
Dannj
 
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😳

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Aug 13, 2021 17:00:21   #
Longshadow Loc: Audubon, PA, United States
 
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.

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Aug 13, 2021 17:04:42   #
DirtFarmer Loc: Escaped from the NYC area, back to MA
 
Longshadow wrote:
...But somehow it has to get entered into the computer properly...


That's what I'm saying.

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Aug 13, 2021 17:05:57   #
Dannj
 
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. 😊

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Aug 13, 2021 17:09:27   #
Longshadow Loc: Audubon, PA, United States
 
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???

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Aug 13, 2021 17:18:59   #
Wmetcalf Loc: Rogersville, Mo
 
16

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Aug 13, 2021 18:36:22   #
papakatz45 Loc: South Florida-West Palm Beach
 
MrBob wrote:
We seem to have a lot of Old Timers around these parts so I would expect PEMDAS to prevail... Very simple equation that everyone seems to disagree on.... I know the REAL answer but I am not a spoiler. Can we get it in 1 page ?

8/2(2+2)= ?


1

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Aug 13, 2021 18:38:12   #
TonyP Loc: New Zealand
 
papakatz45 wrote:
1



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Aug 13, 2021 18:39:16   #
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.

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Aug 13, 2021 19:23:49   #
SalvageDiver Loc: Huntington Beach CA
 
16 ... PAMDAS

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Aug 13, 2021 20:27:00   #
bcplimpton Loc: Southern New Jersey
 
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.

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Aug 13, 2021 21:07:38   #
fuminous Loc: Luling, LA... for now...
 
1

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Aug 13, 2021 22:10:13   #
Day.Old.Pizza Loc: Maple Grove, MN
 
16

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Aug 13, 2021 22:15:46   #
bcplimpton Loc: Southern New Jersey
 
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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