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Author Topic: 6÷2(1+2)= 1 or 9 ? [Locked]
Phlegm573  3 stars
Posts: 528
Registered: 2002-6-12 17:43:34
Ok let's settle this once and for all by asking Hitler.


Hitler! What is 6÷2(1+2)???





ok... you only had to say it once tho...

 

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Abaddon_Ambrosius  4 stars
Title: Retired Theurgist TL
Posts: 1,674
Registered: 2001-12-21 09:51:39
I got 1, using the ancient Please My Dear Aunt Sally method.

But then again, I don't know the "definitive" source to verify whether I'm right, or if I've hosed it somewhere.

 

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Cawlin  4 stars
Posts: 1,759
Registered: 2005-2-22 07:58:42
Abaddon_Ambrosius posted:

I got 1, using the ancient Please My Dear Aunt Sally method.

But then again, I don't know the "definitive" source to verify whether I'm right, or if I've hosed it somewhere.



You've hosed it slightly. Multiplication and Division are equivalent in the order of operations and so, get handled left to right, as do addition and subtraction... so it could as easily be PEMDAS as PEDMSA or PEDMAS or PEMDSA...

6/2(1+2) =

Parentheses first:

6/2(3) <-- same as saying 6/2*3 - here the parentheses become shorthand for multiplication (which is part of the flaw of this particular problem - the choice to use ambiguous notation as parentheses are usually used with variables when not used to define order of operations)

Exponents next (no exponents)

Then divide and multiply next - going left to right, we have to divide first so it becomes 3 * 3 or 9.

 

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Abaddon_Ambrosius  4 stars
Title: Retired Theurgist TL
Posts: 1,674
Registered: 2001-12-21 09:51:39
By the way, does anyone under 50 remember PMDAS and how it works? Or do I actually need to show it?

Bottom line... the whole 'implied multiplication' goes away because you are supposed to do WHATEVER is in the parens first. Then you move down the order of ops. That makes this particular problem easy.

...assuming, again, that I'm not missing something astoundingly obvious.

 

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Cawlin  4 stars
Posts: 1,759
Registered: 2005-2-22 07:58:42
I'm 42 lol, read above!

 

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Rikarus  2 stars
Title: Ultimate Badass
Posts: 267
Registered: 2002-2-24 12:24:32
.999999~= 1.0

 

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Abaddon_Ambrosius  4 stars
Title: Retired Theurgist TL
Posts: 1,674
Registered: 2001-12-21 09:51:39
OK, well, I'm probably wrong but this is the rudimentary method I was taught:

ooo = PMDAS

6÷2(1+2)
6÷2(3)
6÷6
---
1

I thought when you did order of ops and you had equivalent operations, you went from right to left. Might be where I've screwed up. Or gotten it right. Who knows. I never got past basic stats and I let employees do this for me, the last decade or so. lol

 

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Yukishiro1  4 stars
Posts: 3,243
Registered: 2002-9-20 23:52:57
Cawlin posted:

Then divide and multiply next - going left to right, we have to divide first so it becomes 3 * 3 or 9.



It depends how you interpret the division sign and what's in the denominator vs numerator.


It's just ambiguous. Which is why they teach you never to use notation like that.
Rikarus  2 stars
Title: Ultimate Badass
Posts: 267
Registered: 2002-2-24 12:24:32
Abaddon_Ambrosius posted:

OK, well, I'm probably wrong but this is the rudimentary method I was taught:

ooo = PMDAS

6÷2(1+2)
6÷2(3)
6÷6
---
1

I thought when you did order of ops and you had equivalent operations, you went from right to left. Might be where I've screwed up. Or gotten it right. Who knows. I never got past basic stats and I let employees do this for me, the last decade or so. lol



No you have done it correctly, sadly math is no longer tuaght in our shcools.....they just have guess tables!

 

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Cawlin  4 stars
Posts: 1,759
Registered: 2005-2-22 07:58:42
Yukishiro1 posted:

Cawlin posted:

Then divide and multiply next - going left to right, we have to divide first so it becomes 3 * 3 or 9.



It depends how you interpret the division sign and what's in the denominator vs numerator.

It's just ambiguous. Which is why they teach you never to use notation like that.


Denominator and numerator have nothing to do with it.

The ambiguity is that people see the parentheses and assume that it must be handled first even though there is no operation left to do INSIDE those parentheses... and in this case, after you've added 1 and 2, there isn't and the parentheses becomes shorthand for multiplication which people who've taken algebra are familiar with.

6/2*3 = ?

 

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