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48÷2(9+3) = ?

Posted on 04/12/2011 1:32:09 PM PDT by grundle

Texas Instruments TI-85 says:

48÷2(9+3) = 2

But Texas Instruments TI-86 says:

48÷2(9+3) = 288



TOPICS: Miscellaneous
KEYWORDS: algebra; math; mdas; pemdas; texasinstruments
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To: MortMan

I agree/ I corrected my position at 368. the correct answer is 288, but the expression is poorly written


401 posted on 04/12/2011 6:24:40 PM PDT by CharacterCounts (November 4, 2008 - the day America drank the Kool-Aid)
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To: CharacterCounts

Sorry - hadn’t gotten there yet. We agree and we agree - on the answer and the ambiguous composition.


402 posted on 04/12/2011 6:26:22 PM PDT by MortMan (What disease did cured ham used to have?)
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To: CAluvdubya; Melas
pardon me...I got my number wrong. it should have read
This particular problem is not 48 as the numerator over 12 24 as the denominator...
403 posted on 04/12/2011 6:26:50 PM PDT by CAluvdubya (Don't retreat...reload!.....and no, I'm not changing my tagline! Pray for Sarah and her family)
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To: MortMan

It’s not ambiguous, but it could be made more clear. If you follow the rules, you get the right answer. If you don’t know the rules, you can be led to the wrong answer due to a lack of helping parentheses.


404 posted on 04/12/2011 6:27:51 PM PDT by SoothingDave
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To: SoothingDave
...But if you want to write that in a single line,...

I'm not sure that want is the right word here - perhaps need is more appropriate for some of us anyway. It would be awefully nice to be able to easily write equations the old fashioned way. Not that I would do so, since I really don't have that need any more, but it would simplify the process for the less programming-oriented among us.

Side issue, I do find it interesting how we "see" the equation differently from one another. Perhaps previous experience plays a significant role here.

405 posted on 04/12/2011 6:28:56 PM PDT by meyer (We will not sit down and shut up.)
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To: SoothingDave

“Ambiguous” in my line of work includes forms that can be easily misread. I agree on the 288 answer, BTW.


406 posted on 04/12/2011 6:30:15 PM PDT by MortMan (What disease did cured ham used to have?)
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To: grundle

Reverse Polish Notion

Seriously


407 posted on 04/12/2011 6:30:46 PM PDT by KosmicKitty (WARNING: Hormonally crazed woman ahead!!)
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To: Lazamataz

RU/18QTPi?


408 posted on 04/12/2011 6:35:51 PM PDT by Larry Lucido
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To: meyer

Yes, “need” is a better word choice.

There is definitely a perception thing here. But, sadly, there is also an unwillingness by too many to face the conventions used in expressing expressions in a single line, and the rules for evaluating operations.


409 posted on 04/12/2011 6:36:46 PM PDT by SoothingDave
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To: nnn0jeh; TR Jeffersonian

ping


410 posted on 04/12/2011 6:38:03 PM PDT by kalee (The offences we give, we write in the dust; Those we take, we engrave in marble. J Huett 1658)
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To: SoothingDave
No, you have to add parenthesis because computers are stupid. Mathmatically:

48÷2(9+3)

and

48

___

2(9+3)

Are the exact same same thing. There is nothing magical about the "÷" symbol that changes the answer from the same equation expressed vertically. The vertical expression is just easier to read, hence the erroneous 288's here.

411 posted on 04/12/2011 6:40:50 PM PDT by Melas
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To: SoothingDave
There is definitely a perception thing here. But, sadly, there is also an unwillingness by too many to face the conventions used in expressing expressions in a single line, and the rules for evaluating operations.

Well, I did eventually come to the correct conclusion.

The reason I said the expression was poorly written was because it is too easy to misinterpret the expression as a fraction rather than interpret the "/" as an operator.

412 posted on 04/12/2011 6:42:29 PM PDT by CharacterCounts (November 4, 2008 - the day America drank the Kool-Aid)
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To: Melas

http://en.wikibooks.org/wiki/Algebra/Order_of_Operations

You say the expressions are the same, yet you can not cite anything to say why. I cite, for the umpteenth time, the rules of how expressions are evaluated.

Is there some conspiracy to make incorrect rules easy to find and yet the correct rules nowhere on the internet?

Note, this page cited doesn’t just apply to how computers read things, it is the rules of math for everyone.


413 posted on 04/12/2011 6:44:43 PM PDT by SoothingDave
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To: Colonel_Flagg

Done! :)

He actually LIKES math. ;)


414 posted on 04/12/2011 6:46:23 PM PDT by luvie (God is in control)
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To: SoothingDave
What is this operation called when there is no "*" or "x" to tell you it is multiplication?

Hmmm, I wonder where the shortcut nomenclature of 2(x) is the same as 2 times x came from and how long ago? It has the similar look of a function: f(x) = 2x. You've got other functions using the same format cos(x), log(x), etc. with defined meanings for cos, log, etc. This has been an interesting thread to read.

415 posted on 04/12/2011 6:47:09 PM PDT by Chesterbelloc
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To: Chesterbelloc

I imagine that once algebra started using “x” as a variable, the use of “x” for multiplication had to go. Having one “default” operator makes sense.


416 posted on 04/12/2011 6:51:04 PM PDT by SoothingDave
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To: grundle
Those of you using the distributive property before evaluating parens are incorrect. It is the distributive property of MULTIPLICATION. Therefore it goes AFTER parens are evaluated. PEMDAS. Thus you get:

48/2*12

Since division and multiplication are equal, you go left to right.

24*12 = 288


417 posted on 04/12/2011 6:56:35 PM PDT by grateful
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To: CAluvdubya; SoothingDave; MortMan

I drug out the heavy guns to get an answer and called the Chinese kid next door to come take a look. God please forgive me for stereotyping.

The answer is 288. The reason is the Obelus (division sign). It means the expression is read from left to right following the order of operations.

Now here is where it gets fun. If the expression was 48/2(9+3) there is no right answer, because whoever wrote that expression is (and I’m quoting) a “dumbass”. The slash can be read as either the obelus (what you guys were saying) or a vinculum (the line between fractions).


418 posted on 04/12/2011 7:00:08 PM PDT by Melas
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To: Melas

I think we can all agree that the expression is poorly written.


419 posted on 04/12/2011 7:03:15 PM PDT by SoothingDave
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To: Melas
drug out the heavy guns to get an answer and called the Chinese kid next door to come take a look. God please forgive me for stereotyping.

LOLOLOL!

420 posted on 04/12/2011 7:03:59 PM PDT by CAluvdubya (Don't retreat...reload!.....and no, I'm not changing my tagline! Pray for Sarah and her family)
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