48÷2(9+3) = ???

[thehealthinspector]

Originally Posted by kingcrux31

Originally Posted by ncmalko1

The answer is 2. The entire bracket equation MUST be done first. 2(9+3) is 24


You don't just add 9 + 3 then work left to right. The entire 2(9+3) is done first.

That's one thing they refuse to understand.

no, what you guys refuse to understand is that THERE ARE NO BRACKETS, youre placing them in your mind to help you (mis)understand the problem instead of taking problem as it is

no unproven brackets... no unproven parentheses... take the problem as it is

 

[scotthallwithapick]

Originally Posted by TheHealthInspector

Originally Posted by kingcrux31

Originally Posted by TheHealthInspector


everyone who says 288 is saying so based on rules... pemdas... order of operations

you cant even name the rule that says that 2 should be distributed first, just a made up rule that applies to multiplication but not division

pemdas - no special rules

Troll.

whats the rule then?  other than from a site that cant even verify its own claim

288 people are following rules, not making special exceptions for individual cases that shouldnt be made

This!

The lone site Team 2 has used for proof doesn't even verify it. It says you should work outside the parenthesis it's the consensus BUT some teachers teach different so don't get mad at us if you miss a question on a test

 

[scotthallwithapick]

Originally Posted by TheHealthInspector

Originally Posted by kingcrux31

Originally Posted by TheHealthInspector


everyone who says 288 is saying so based on rules... pemdas... order of operations

you cant even name the rule that says that 2 should be distributed first, just a made up rule that applies to multiplication but not division

pemdas - no special rules

Troll.

whats the rule then?  other than from a site that cant even verify its own claim

288 people are following rules, not making special exceptions for individual cases that shouldnt be made

This!

The lone site Team 2 has used for proof doesn't even verify it. It says you should work outside the parenthesis it's the consensus BUT some teachers teach different so don't get mad at us if you miss a question on a test

 

[k2theablam]

Originally Posted by kingcrux31

Originally Posted by ncmalko1

The answer is 2. The entire bracket equation MUST be done first. 2(9+3) is 24


You don't just add 9 + 3 then work left to right. The entire 2(9+3) is done first.

That's one thing they refuse to understand.

It's called the distributive property I've been saying this and quoting sources since day 1... no response and everyone overlooks it.

Originally Posted by K2theAblaM

Originally Posted by eddiehouse5

The answer is 2.

BB was going wild with this, Neogaf is also.

Also- http://answers.yahoo.com/question/index?qid=20110408055505AA0F9In

[h2]Best Answer - Chosen by Asker[/h2]
Distributive property of multiplication over addition. Early Algebra problem.

The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire statement and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2*9+2*3). Let me repeat the 2 outside of the parenthesis follows the distributive property of multiplication and must be factored and simplified before performing any other operations on it. You do NOT compute this expression from left to right until you use Algebra to simplify the statement 2(9+3).

So this can be rewritten as:
48 / (2*9 + 2*3)

Which leaves us with

48 / 24 = 2

Answer = 2.

Lastly for those using Google or any other online calculator. These do not understand many theorems or properties so you must explicitly explain what you mean. There is a difference between 48 / 2 * (9+3) and 48 / 2(9+3). The first notation reads 48 / 2 * 1(9+3) while the second reads 48 / (2*9+2*3). Be very careful with your signs.

• Edited 5 hours ago

http://www.neogaf.com/forum/showpost.php?p=26993361&postcount=1030

READ THIS

The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire statement and CANNOT be broken up.
Jesus Christ people get your math game up.

Answer is 2

 

[tecca nena]

Originally Posted by kingcrux31

Originally Posted by TheHealthInspector

Originally Posted by kingcrux31

Stop. You're not even making any sense now.

thats right, try and play the LOL game cause you dont even understand how order of operations works

explain WHY youre trying to apply a special rule to multiplication that CANNOT be applied to any other concept in PEMDAS, especially not division

All the explanation you need.
http://niketalk.yuku.com/sreply/10741681/48-2-9-3-

http://niketalk.yuku.com/sreply/10741706/48-2-9-3-

http://niketalk.yuku.com/sreply/10741735/48-2-9-3-

http://niketalk.yuku.com/sreply/10741752/48-2-9-3-

lol... Math aside your explanation doesnt prove anything because using circular logic to prove your point... If we replace each equation you use with variables its:


" you will only get 288 if you think A = B... but its not!!

A = C (which comes out to 2) which does not = B, because B equeals D (which comes out to 28

again

A =/= B  because it B comes out to 288"

 

[k2theablam]

Originally Posted by kingcrux31

Originally Posted by ncmalko1

The answer is 2. The entire bracket equation MUST be done first. 2(9+3) is 24


You don't just add 9 + 3 then work left to right. The entire 2(9+3) is done first.

That's one thing they refuse to understand.

It's called the distributive property I've been saying this and quoting sources since day 1... no response and everyone overlooks it.

Originally Posted by K2theAblaM

Originally Posted by eddiehouse5

The answer is 2.

BB was going wild with this, Neogaf is also.

Also- http://answers.yahoo.com/question/index?qid=20110408055505AA0F9In

[h2]Best Answer - Chosen by Asker[/h2]
Distributive property of multiplication over addition. Early Algebra problem.

The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire statement and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2*9+2*3). Let me repeat the 2 outside of the parenthesis follows the distributive property of multiplication and must be factored and simplified before performing any other operations on it. You do NOT compute this expression from left to right until you use Algebra to simplify the statement 2(9+3).

So this can be rewritten as:
48 / (2*9 + 2*3)

Which leaves us with

48 / 24 = 2

Answer = 2.

Lastly for those using Google or any other online calculator. These do not understand many theorems or properties so you must explicitly explain what you mean. There is a difference between 48 / 2 * (9+3) and 48 / 2(9+3). The first notation reads 48 / 2 * 1(9+3) while the second reads 48 / (2*9+2*3). Be very careful with your signs.

• Edited 5 hours ago

http://www.neogaf.com/forum/showpost.php?p=26993361&postcount=1030

READ THIS

The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire statement and CANNOT be broken up.
Jesus Christ people get your math game up.

Answer is 2

 

[do work son]

Originally Posted by CertifiedSW

Originally Posted by do work son

Originally Posted by JChambers

The answer is 288. The people who are getting 2 as the answer don't realize that the order of operations (PEMDAS) indicates that Multiplication and Division have the same rank and that Addition and Subtraction have the same rank, therefore Multiplication doesn't always come before Division, the proper way to solve a problem is from left to right when you have multiples of the same rank. PEMDAS could just as easily be written PEDMSA and we would get the same results because of the left to right rule.

" Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank). When you have a bunch of operations of the same rank, you just operate from left to right. "

http://www.purplemath.com/modules/orderops.htm

look at the 1st example on the second page of that article. it proves why the answer is 2

That ain't prove @#$# man. It proves that you go from LEFT to RIGHT.

4 – 3[4 –2(6 – 3)] ÷ 2
    = 4 – 3[4 – 2(3)] ÷ 2
    = 4 – 3[4 – 6] ÷ 2
    = 4 – 3[–2] ÷ 2
    = 4 + 6 ÷ 2
    = 4 + 3
    = 7

taken from that website. notice that in the middle term, the -3 is the coefficient. notice that it gets distributed to the -2 after everything inside the parenthesis is completed. only after the -3 is distributed to the -2 to the continue with the problem. or did you miss that?

 

[tecca nena]

Originally Posted by kingcrux31

Originally Posted by TheHealthInspector

Originally Posted by kingcrux31

Stop. You're not even making any sense now.

thats right, try and play the LOL game cause you dont even understand how order of operations works

explain WHY youre trying to apply a special rule to multiplication that CANNOT be applied to any other concept in PEMDAS, especially not division

All the explanation you need.
http://niketalk.yuku.com/sreply/10741681/48-2-9-3-

http://niketalk.yuku.com/sreply/10741706/48-2-9-3-

http://niketalk.yuku.com/sreply/10741735/48-2-9-3-

http://niketalk.yuku.com/sreply/10741752/48-2-9-3-

lol... Math aside your explanation doesnt prove anything because using circular logic to prove your point... If we replace each equation you use with variables its:


" you will only get 288 if you think A = B... but its not!!

A = C (which comes out to 2) which does not = B, because B equeals D (which comes out to 28

again

A =/= B  because it B comes out to 288"

 

[do work son]

Originally Posted by CertifiedSW

Originally Posted by do work son

Originally Posted by JChambers

The answer is 288. The people who are getting 2 as the answer don't realize that the order of operations (PEMDAS) indicates that Multiplication and Division have the same rank and that Addition and Subtraction have the same rank, therefore Multiplication doesn't always come before Division, the proper way to solve a problem is from left to right when you have multiples of the same rank. PEMDAS could just as easily be written PEDMSA and we would get the same results because of the left to right rule.

" Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank). When you have a bunch of operations of the same rank, you just operate from left to right. "

http://www.purplemath.com/modules/orderops.htm

look at the 1st example on the second page of that article. it proves why the answer is 2

That ain't prove @#$# man. It proves that you go from LEFT to RIGHT.

4 – 3[4 –2(6 – 3)] ÷ 2
    = 4 – 3[4 – 2(3)] ÷ 2
    = 4 – 3[4 – 6] ÷ 2
    = 4 – 3[–2] ÷ 2
    = 4 + 6 ÷ 2
    = 4 + 3
    = 7

taken from that website. notice that in the middle term, the -3 is the coefficient. notice that it gets distributed to the -2 after everything inside the parenthesis is completed. only after the -3 is distributed to the -2 to the continue with the problem. or did you miss that?

 

[jchambers]

Originally Posted by do work son

Originally Posted by JChambers

The answer is 288. The people who are getting 2 as the answer don't realize that the order of operations (PEMDAS) indicates that Multiplication and Division have the same rank and that Addition and Subtraction have the same rank, therefore Multiplication doesn't always come before Division, the proper way to solve a problem is from left to right when you have multiples of the same rank. PEMDAS could just as easily be written PEDMSA and we would get the same results because of the left to right rule.

" Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank). When you have a bunch of operations of the same rank, you just operate from left to right. "

http://www.purplemath.com/modules/orderops.htm

look at the 1st example on the second page of that article. it proves why the answer is 2

No it doesn't. Order of operations still apply. Multiplication always comes before subtraction, but multiplication does not always come before division.The order of operations goes from left to right when there are multiples. In that example there is a subtraction sign before the multiplication, so of course it comes last, this is not the same as our current problem.

 

[jchambers]

Originally Posted by do work son

Originally Posted by JChambers

The answer is 288. The people who are getting 2 as the answer don't realize that the order of operations (PEMDAS) indicates that Multiplication and Division have the same rank and that Addition and Subtraction have the same rank, therefore Multiplication doesn't always come before Division, the proper way to solve a problem is from left to right when you have multiples of the same rank. PEMDAS could just as easily be written PEDMSA and we would get the same results because of the left to right rule.

" Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank). When you have a bunch of operations of the same rank, you just operate from left to right. "

http://www.purplemath.com/modules/orderops.htm

look at the 1st example on the second page of that article. it proves why the answer is 2

No it doesn't. Order of operations still apply. Multiplication always comes before subtraction, but multiplication does not always come before division.The order of operations goes from left to right when there are multiples. In that example there is a subtraction sign before the multiplication, so of course it comes last, this is not the same as our current problem.

 

[thehealthinspector]

jesus christ, people STAY falling for the "distributive property" like its a RULE, its not, its a PROPERTY of PEMDAS that only applies itself when there is an addition sign, subtraction sign, or nothing in front of the outside multiplier

in this case theres a division sign in front of the outside multiplier

distributiv PROPERTY is not a RULE, it is a PROPERTY

PEMD>>>>AS

 

[kingcrux31]

Originally Posted by TheHealthInspector

Originally Posted by kingcrux31

Originally Posted by ncmalko1

The answer is 2. The entire bracket equation MUST be done first. 2(9+3) is 24


You don't just add 9 + 3 then work left to right. The entire 2(9+3) is done first.

That's one thing they refuse to understand.

no, what you guys refuse to understand is that THERE ARE NO BRACKETS, youre placing them in your mind to help you (mis)understand the problem instead of taking problem as it is

no unproven brackets... no unproven parentheses... take the problem as it is

[h3]48÷2(9+3) = ???[/h3]
Like I said, TROLL.

 

[wallyhopp]

This could last for weeks. We need a official review from truly qualified parties. Take this to the streets and school buildings.

 

[wallyhopp]

This could last for weeks. We need a official review from truly qualified parties. Take this to the streets and school buildings.

 

[kingcrux31]

Originally Posted by TheHealthInspector

Originally Posted by kingcrux31

Originally Posted by ncmalko1

The answer is 2. The entire bracket equation MUST be done first. 2(9+3) is 24


You don't just add 9 + 3 then work left to right. The entire 2(9+3) is done first.

That's one thing they refuse to understand.

no, what you guys refuse to understand is that THERE ARE NO BRACKETS, youre placing them in your mind to help you (mis)understand the problem instead of taking problem as it is

no unproven brackets... no unproven parentheses... take the problem as it is

[h3]48÷2(9+3) = ???[/h3]
Like I said, TROLL.

 

[thehealthinspector]

jesus christ, people STAY falling for the "distributive property" like its a RULE, its not, its a PROPERTY of PEMDAS that only applies itself when there is an addition sign, subtraction sign, or nothing in front of the outside multiplier

in this case theres a division sign in front of the outside multiplier

distributiv PROPERTY is not a RULE, it is a PROPERTY

PEMD>>>>AS

 

[il prescelto]

Okay, for all the people who think the answer is 2, readthis and let me know what you think.
We start off with 48/2(9+3) = 48/2(12). We add the 9 and 3 first becausethey're in the parenthesis. I think everyone agrees on this step.
Now we have
48/2(12). Let us assume that 48/2(12) = 48/(2(12)) (which is what the peoplewho think the answer is 2 are assuming)
Since multiplication and division are inverse processes (in other words,XY=X(1/Y), we can do the following:
48/(2(12)) = 48(1/(2(12))) = 48 (1/2) (1/12)
Now let us turn those (1/2) and (1/12) back into division sign
48 (1/2) (1/12) = 48/2/12. And 48/2/12 surely does not equal 48/2(12). Therefore,our initial assumption is wrong.

Here’s just the math

48/2(9+3) = 48/2(12). Assume 48/2(12) = 48/(2(12)). Then, 48/2(12)= 48/(2(12)) = 48(1/(2(12))) = 48 (1/2) (1/2) = 48/2/12 =/= 48/2(12). Therefore,our initial assumption is wrong, and 48/2(12) should not be interpreted as48/(2(12)).
If anyone thinks this is wrong, let me know. Andby the way, some guy said people with college education say the answer is 2. MyHarvard, Caltech, MIT, Yale, Stanford, and Cal friends all say 288; I’m the sonof two Cal grads, and I’ve been a student at Cal myself….since we’re talkingabout credentials 

Someone prove me wrong...

 

[il prescelto]

Okay, for all the people who think the answer is 2, readthis and let me know what you think.
We start off with 48/2(9+3) = 48/2(12). We add the 9 and 3 first becausethey're in the parenthesis. I think everyone agrees on this step.
Now we have
48/2(12). Let us assume that 48/2(12) = 48/(2(12)) (which is what the peoplewho think the answer is 2 are assuming)
Since multiplication and division are inverse processes (in other words,XY=X(1/Y), we can do the following:
48/(2(12)) = 48(1/(2(12))) = 48 (1/2) (1/12)
Now let us turn those (1/2) and (1/12) back into division sign
48 (1/2) (1/12) = 48/2/12. And 48/2/12 surely does not equal 48/2(12). Therefore,our initial assumption is wrong.

Here’s just the math

48/2(9+3) = 48/2(12). Assume 48/2(12) = 48/(2(12)). Then, 48/2(12)= 48/(2(12)) = 48(1/(2(12))) = 48 (1/2) (1/2) = 48/2/12 =/= 48/2(12). Therefore,our initial assumption is wrong, and 48/2(12) should not be interpreted as48/(2(12)).
If anyone thinks this is wrong, let me know. Andby the way, some guy said people with college education say the answer is 2. MyHarvard, Caltech, MIT, Yale, Stanford, and Cal friends all say 288; I’m the sonof two Cal grads, and I’ve been a student at Cal myself….since we’re talkingabout credentials 

Someone prove me wrong...

 

[kingcrux31]

Originally Posted by tecca nena

Originally Posted by kingcrux31

Originally Posted by TheHealthInspector


thats right, try and play the LOL game cause you dont even understand how order of operations works

explain WHY youre trying to apply a special rule to multiplication that CANNOT be applied to any other concept in PEMDAS, especially not division

All the explanation you need.
http://niketalk.yuku.com/sreply/10741681/48-2-9-3-

http://niketalk.yuku.com/sreply/10741706/48-2-9-3-

http://niketalk.yuku.com/sreply/10741735/48-2-9-3-

http://niketalk.yuku.com/sreply/10741752/48-2-9-3-

lol... Math aside your explanation doesnt prove anything because using circular logic to prove your point... If we replace each equation you use with variables its:


" you will only get 288 if you think A = B... but its not!!

A = C (which comes out to 2) which does not = B, because B equeals D (which comes out to 28

again

A =/= B  because it B comes out to 288"

You're either blind or can't comprehend simple Math.

 

[kingcrux31]

Originally Posted by tecca nena

Originally Posted by kingcrux31

Originally Posted by TheHealthInspector


thats right, try and play the LOL game cause you dont even understand how order of operations works

explain WHY youre trying to apply a special rule to multiplication that CANNOT be applied to any other concept in PEMDAS, especially not division

All the explanation you need.
http://niketalk.yuku.com/sreply/10741681/48-2-9-3-

http://niketalk.yuku.com/sreply/10741706/48-2-9-3-

http://niketalk.yuku.com/sreply/10741735/48-2-9-3-

http://niketalk.yuku.com/sreply/10741752/48-2-9-3-

lol... Math aside your explanation doesnt prove anything because using circular logic to prove your point... If we replace each equation you use with variables its:


" you will only get 288 if you think A = B... but its not!!

A = C (which comes out to 2) which does not = B, because B equeals D (which comes out to 28

again

A =/= B  because it B comes out to 288"

You're either blind or can't comprehend simple Math.

 

[thehealthinspector]

Originally Posted by kingcrux31

Originally Posted by TheHealthInspector

Originally Posted by kingcrux31

That's one thing they refuse to understand.

no, what you guys refuse to understand is that THERE ARE NO BRACKETS, youre placing them in your mind to help you (mis)understand the problem instead of taking problem as it is

no unproven brackets... no unproven parentheses... take the problem as it is

[h3]48÷2(9+3) = ???[/h3]
Like I said, TROLL.

no, how youre reading it in your MIND is like this.... 48/((2(9+3))

TAKE THE PROBLEM AS IT IS, no unproven parentheses

 

[thehealthinspector]

Originally Posted by kingcrux31

Originally Posted by TheHealthInspector

Originally Posted by kingcrux31

That's one thing they refuse to understand.

no, what you guys refuse to understand is that THERE ARE NO BRACKETS, youre placing them in your mind to help you (mis)understand the problem instead of taking problem as it is

no unproven brackets... no unproven parentheses... take the problem as it is

[h3]48÷2(9+3) = ???[/h3]
Like I said, TROLL.

no, how youre reading it in your MIND is like this.... 48/((2(9+3))

TAKE THE PROBLEM AS IT IS, no unproven parentheses

 

[certifiedsw]

Originally Posted by do work son

Originally Posted by CertifiedSW

Originally Posted by do work son


look at the 1st example on the second page of that article. it proves why the answer is 2

That ain't prove @#$# man. It proves that you go from LEFT to RIGHT.

4 – 3[4 –2(6 – 3)] ÷ 2
    = 4 – 3[4 – 2(3)] ÷ 2
    = 4 – 3[4 – 6] ÷ 2
    = 4 – 3[–2] ÷ 2
    = 4 + 6 ÷ 2
    = 4 + 3
    = 7

taken from that website. notice that in the middle term, the -3 is the coefficient. notice that it gets distributed to the -2 after everything inside the parenthesis is completed. only after the -3 is distributed to the -2 to the continue with the problem. or did you miss that?

You've got to be kidding me. It's not called "distributing," it's called MULTIPLICATION. Like I said, you're example only backs up that the answer is 288 because the person doing that problem is following the order of operations. And they're continuing the problem because they're following the order of operations!! Jesus Christ. What is so difficult to understand?! They multiply -3 times -2 because they are going from LEFT TO RIGHT. Do you see the problem? See how they multiply first THEN divide??? They are following the exact same rule which you should follow for the original problem. Going from left to right AFTER solving what is inside parentheses.
Unbelievable. 

 

[certifiedsw]

Originally Posted by do work son

Originally Posted by CertifiedSW

Originally Posted by do work son


look at the 1st example on the second page of that article. it proves why the answer is 2

That ain't prove @#$# man. It proves that you go from LEFT to RIGHT.

4 – 3[4 –2(6 – 3)] ÷ 2
    = 4 – 3[4 – 2(3)] ÷ 2
    = 4 – 3[4 – 6] ÷ 2
    = 4 – 3[–2] ÷ 2
    = 4 + 6 ÷ 2
    = 4 + 3
    = 7

taken from that website. notice that in the middle term, the -3 is the coefficient. notice that it gets distributed to the -2 after everything inside the parenthesis is completed. only after the -3 is distributed to the -2 to the continue with the problem. or did you miss that?

You've got to be kidding me. It's not called "distributing," it's called MULTIPLICATION. Like I said, you're example only backs up that the answer is 288 because the person doing that problem is following the order of operations. And they're continuing the problem because they're following the order of operations!! Jesus Christ. What is so difficult to understand?! They multiply -3 times -2 because they are going from LEFT TO RIGHT. Do you see the problem? See how they multiply first THEN divide??? They are following the exact same rule which you should follow for the original problem. Going from left to right AFTER solving what is inside parentheses.
Unbelievable.