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Аутор Тема: 48÷2(9+3)=??? 2 or 288 1376 одговора
Martin Prikryl
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Стара порука #691 послано Апр 17 2011, 18:26:54 Цитирај 
48/2x(9+3)=24x12=288
Jonathan MacLean
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Стара порука #692 послано Апр 17 2011, 18:30:01 (последња промена Апр 17 2011, 18:36:49 од Jonathan MacLean) Цитирај 
I get the feeling some folk just keep arguing to save face and not because they accept they could be wrong.

Do me a favour though, If you replaced the 9+3 with X

48/2(X)

What would you get in relation to X?
Giuseppe Pasquino
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Стара порука #693 послано Апр 17 2011, 18:34:17 (последња промена Апр 17 2011, 18:34:50 од Giuseppe Pasquino) Цитирај 
288.

48/2(9+3) -> 48/2(12) -> 48/2*12 = 288

operation in parenthesys should be done first
Emre Demir
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Стара порука #694 послано Апр 17 2011, 18:34:42 Цитирај 
heheh this argument is never stop :D
Marcelo Michelini
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Стара порука #695 послано Апр 17 2011, 18:42:06 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,18:19:05 )

"x" means "*" right?

yes, but there is no symbol in the original notation
48÷2(9+3)
so the 2 belong to the brackets
try writing it without any multiplication symbol and see what you get
Daryl Gee
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Стара порука #696 послано Апр 17 2011, 18:42:19 Цитирај 
It's a badly written, ambiguous formula, and that's all it is.

In my silly little opinion, anyway.

Quote ( Brian Branch @ April 17th 2011,03:31:34 )

I should gather all of the personal insults in this thread and use them in quotation form for the next 4 seasons.

Use brackets rather than quotations so the order of priority is clear.
Emre Demir
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Стара порука #697 послано Апр 17 2011, 18:43:32 Цитирај 
Quote ( Marcelo Michelini @ April 17th 2011,18:42:06 )

yes, but there is no symbol in the original notation

We don't have to write it because already there is !
Theo Poufinas
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Стара порука #698 послано Апр 17 2011, 18:47:10 Цитирај 
Quote ( Marcelo Michelini @ April 17th 2011,18:42:06 )

yes, but there is no symbol in the original notation
48÷2(9+3)
so the 2 belong to the brackets
try writing it without any multiplication symbol and see what you get


but 48/2(9+3) is the same thing with 48/2*(9+3) come on.. :(
Emre Demir
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Стара порука #699 послано Апр 17 2011, 18:48:08 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,18:47:10 )

but 48/2(9+3) is the same thing with 48/2*(9+3) come on.. :(

Yeap absolutely whats for all of these ?
Marcelo Michelini
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Стара порука #700 послано Апр 17 2011, 18:50:33 (последња промена Апр 17 2011, 18:51:29 од Marcelo Michelini) Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,18:47:10 )

but 48/2(9+3) is the same thing with 48/2*(9+3) come on.. :(

a(b) = a*(b)
but if the notation makes you change the value of "a", then it is not the same...
if you add the * you are explicity saying to treat the prior division first, because of the bodmas? going from left to right?
if you don't add it, it's read as the double of b
small difference, but it's there

try it out in the calc, you can write it the way it is presented
Theo Poufinas
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Стара порука #701 послано Апр 17 2011, 18:52:17 (последња промена Апр 17 2011, 18:53:02 од Theo Poufinas) Цитирај 
maybe that's in your country..i don't know

here 48/2(9+3) = 48/2*(9+3) = 48/2x(9+3)->actually we don't use in 11th grade x as multiplication symbol, because x can be an unknown value .. but on calculators, x is the multiplication symbol
Emre Demir
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Стара порука #702 послано Апр 17 2011, 18:53:47 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,18:52:17 )

maybe that's in your country..i don't know

here 48/2(9+3) = 48/2*(9+3) = 48/2x(9+3) ..

Maybe someone is making some mistakes but they're not us
Marcelo Michelini
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Стара порука #703 послано Апр 17 2011, 18:55:15 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,18:52:17 )

maybe that's in your country..i don't know

Theo, I am asking you to write it down in your calculator, as it was originally written... you can write it without adding symbols, and you are in Romania, and I bet you will have a result of 2
Kevin Parkinson
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Стара порука #704 послано Апр 17 2011, 18:55:21 Цитирај 
Quote ( Emma Cassidy @ April 17th 2011,01:12:47 )

Brackets indicate multiplication, just like / is equivalent to division. It's standard mathematical notation. Give that equation to any mathematician, and they will give you 2 as the answer. There is no doubt around it, or other way to look at it.


Love it. Intelligent Irish girls agreeing with me :)
Jonathan MacLean
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Стара порука #705 послано Апр 17 2011, 18:55:56 Цитирај 
I'll ask again;
Quote ( Jonathan MacLean @ April 17th 2011,18:30:01 )

Do me a favour though, If you replaced the 9+3 with X

48/2(X)

What would you get in relation to X?
Theo Poufinas
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Стара порука #706 послано Апр 17 2011, 18:57:14 (последња промена Апр 17 2011, 19:03:45 од Theo Poufinas) Цитирај 
Quote ( Marcelo Michelini @ April 17th 2011,18:55:15 )

Theo, I am asking you to write it down in your calculator, as it was originally written... you can write it without adding symbols, and you are in Romania, and I bet you will have a result of 2


i don't have a casio...we'll have to wait for Cristian,
actually in windows calc, if i write 48/2(9+3) it says 4 =)
that's because there's nothing between 2( so 2 is eliminated..eh

Quote ( Jonathan MacLean @ April 17th 2011,18:55:56 )

Do me a favour though, If you replaced the 9+3 with X

48/2(X)

What would you get in relation to X?


damn, you gave me an idea, i wonder why no one ever thought of this:

48/2(X)=288 => 24(X)=288 => X=12 so 288 is the answer! :P

because 9+3= 12

or..if the answer is 2:

48/2(X)=2 => 24(X)=2 => X=0.5 incorrect! because x=12 :D

EAT THIS ! :D
Jonathan MacLean
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Стара порука #707 послано Апр 17 2011, 19:03:09 (последња промена Апр 17 2011, 19:04:30 од Jonathan MacLean) Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,18:57:14 )

48/2(X)=288 => 24(X)=288 => X=12 so 288 is the answer! :P


That's where you're wrong. you're not multiplying out the brackets.

I mean, In algebra. you multiply the brackets out to get rid of them in this instance...
Emre Demir
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Стара порука #708 послано Апр 17 2011, 19:03:28 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,18:57:14 )

EAT THIS ! :D



bhahaha
Theo Poufinas
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Стара порука #709 послано Апр 17 2011, 19:07:03 Цитирај 
Quote ( Jonathan MacLean @ April 17th 2011,19:03:09 )

That's where you're wrong. you're not multiplying out the brackets.

I mean, In algebra. you multiply the brackets out to get rid of them in this instance...


so we'll have 48/2X=288

now what? :)

2(X)=2*X=2X ...
Cristian Iordache
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Стара порука #710 послано Апр 17 2011, 19:07:03 (последња промена Апр 17 2011, 19:11:47 од Cristian Iordache) Цитирај 
Quote ( Marcelo Michelini @ April 17th 2011,18:55:15 )


Theo, I am asking you to write it down in your calculator, as it was originally written... you can write it without adding symbols, and you are in Romania, and I bet you will have a result of 2


marcelo, do you finally agree with us that there no difference between / and ÷?

the difference is the "x" there! some software and calculators accept 2(9+3), others don't, they need something in between, a "." or "x" or "*"!

that is the convention we should speak about, not about division and fractions!

"Implied Multiplication

However, the answer 2 could be justified by the principle of implied multiplication. For example, consider the problem "2/5x."

If one strictly follows the standard order of operations, the correct interpretation would be “(2/5)*(x).”

But many calculators and textbooks state that a higher value of precedence should be placed on implied multiplication than on explicit multiplication:

Because “5x” is implied to be "5*x," it gets higher priority than "2/5." In this case, "2/5x" would be interpreted as "(2)/(5*x)."

Returning to the original problem, if one utilizes the principles of implied multiplication, then “2(9+3)” gets higher precedence than the explicit “48/2”

However, there is a lack of consensus on the value of implied multiplication."

cited from:

http://knowyourmeme.com/memes/48293
Jonathan MacLean
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Стара порука #711 послано Апр 17 2011, 19:09:11 (последња промена Апр 17 2011, 19:11:15 од Jonathan MacLean) Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,19:07:03 )

so we'll have 48/2X=288


2x = ((9*2)+(3*2)) = 2x = 24.

OR

48
2x

=

__48__
2(9+3)
Daryl Gee
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Стара порука #712 послано Апр 17 2011, 19:11:40 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,18:57:14 )

or..if the answer is 2:

48/2(X)=2 => 24(X)=2 => X=0.5 incorrect! because x=12 :D


48/2(X)=2

48/2 = 2(X)

24 = 2(X)

12 = X

Quote ( Theo Poufinas @ April 17th 2011,18:57:14 )

EAT THIS ! :D
Theo Poufinas
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Стара порука #713 послано Апр 17 2011, 19:13:16 (последња промена Апр 17 2011, 19:14:37 од Theo Poufinas) Цитирај 
Quote ( Daryl Gee @ April 17th 2011,19:11:40 )

48/2(X)=2

48/2 = 2(X)

24 = 2(X)

12 = X


incorrect

at 48/2 = 2(X) where did you get a second "2" ? :)

Jonathan MacLean
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Стара порука #714 послано Апр 17 2011, 19:14:02 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,19:13:16 )

at 48/2 = 2(X) where di you get a second "2" ? :)


From it being =2 at the end?

He was transposing the x to the other side.
Cristian Iordache
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Стара порука #715 послано Апр 17 2011, 19:15:38 (последња промена Апр 17 2011, 19:18:40 од Cristian Iordache) Цитирај 
Quote ( Daryl Gee @ April 17th 2011,19:11:40 )

48/2(X)=2

48/2 = 2(X)


look at this again! how can you move the (X) from one side to the other???

edit:
no sign means implicit multiply, and multiply moved to the other side is division!
Daryl Gee
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Стара порука #716 послано Апр 17 2011, 19:18:11 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,19:13:16 )

at 48/2 = 2(X) where di you get a second "2" ? :)

lolwut? What second 2? I just multiplied both sides by X. Because I assumed the X was on the bottom in the first notation.

I just did what you did with your "eat this" proof, calculate it out using one particular assumption of the way the notation works and then act like you've proved a point, because it only works with that assumption. It also only works one way with the other assumption.
Theo Poufinas
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Стара порука #717 послано Апр 17 2011, 19:19:01 (последња промена Апр 17 2011, 19:19:54 од Theo Poufinas) Цитирај 
Quote ( Jonathan MacLean @ April 17th 2011,19:14:02 )

From it being =2 at the end?

He was transposing the x to the other side.


oh right, sorry about that

but you can't move only X because is multiplied with 2...
Vitaly Neverovsky
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Стара порука #718 послано Апр 17 2011, 19:20:13 Цитирај 
if
(48) / (2(9+3)) = 2
else
(48/2)*(9+3) = 288
question is not quite correct
Daryl Gee
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Стара порука #719 послано Апр 17 2011, 19:20:40 Цитирај 
Quote ( Theo Poufinas @ April 17th 2011,19:19:01 )

but you can't move only X because is multiplied with 2...

Of course you can.
Theo Poufinas
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Стара порука #720 послано Апр 17 2011, 19:22:06 Цитирај 
Quote ( Daryl Gee @ April 17th 2011,19:20:40 )

Of course you can.


search and post here a rule that says you can separate 2 values if they are multiplied each other

i'm out, will check the forum when i come back..next morning i guess :D
y'all have a good night and play nice :)
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