48÷2(9+3) = ???

[2g00d4u]

Originally Posted by dmbrhs

Originally Posted by usainboltisfast

Originally Posted by do work son

48/ 2(9+3)
48/ 2(12)
48/24
2

You are assuming the problem is 48 divided by the solution of 2 and 9 plus 3. The problem is actually 48 divided by 2 multiplied by (9 plus 3)

Where is the multiplication symbol that proves your so-called "actual" version is correct?

Does 2(12) not equal 2*12?

 

[hankmoody]

Originally Posted by Stay Lurkin

Hmmm, if you sub in X for any of the #'s and have it = 2, it will work. Have it equal 288? Not so much

It's 2. No

about it. I did the algebraic substitution right when I saw there was "controversy". This thread is wild to me.

 

[do work son]

Originally Posted by balloonoboy

Originally Posted by DeadsetAce

Originally Posted by balloonoboy

If I complete the 18 + 6 am I not adding, which occurs later in the order of operations. Since the parenthesis was removed when I whole way distributed, we then move on to dividing and then adding.

If the parenthesis remains after distribution, then this is all a moot point and the answer is 2.

you didn't whole way distribute until you combine 18 and 6

now whether or not to distribute, that's the question. our whole debate is do you distribute before doing 48/2 or after

That's not necessarily true. Distribution is only making a(b+c) = ab + ac. Not going a step further and finding the sum.

Either way, I'm right because I never said it was 288 - only 2 and 8.66667

still wrong. if you have x(3+2) you get 3x+2x which you then combine like terms to get 5x.

in our case 2(9+3) = 18+6. then you combine the like terms and get 24 before you continue

 

[do work son]

Originally Posted by balloonoboy

Originally Posted by DeadsetAce

Originally Posted by balloonoboy

If I complete the 18 + 6 am I not adding, which occurs later in the order of operations. Since the parenthesis was removed when I whole way distributed, we then move on to dividing and then adding.

If the parenthesis remains after distribution, then this is all a moot point and the answer is 2.

you didn't whole way distribute until you combine 18 and 6

now whether or not to distribute, that's the question. our whole debate is do you distribute before doing 48/2 or after

That's not necessarily true. Distribution is only making a(b+c) = ab + ac. Not going a step further and finding the sum.

Either way, I'm right because I never said it was 288 - only 2 and 8.66667

still wrong. if you have x(3+2) you get 3x+2x which you then combine like terms to get 5x.

in our case 2(9+3) = 18+6. then you combine the like terms and get 24 before you continue

 

[hankmoody]

Originally Posted by Stay Lurkin

Hmmm, if you sub in X for any of the #'s and have it = 2, it will work. Have it equal 288? Not so much

It's 2. No

about it. I did the algebraic substitution right when I saw there was "controversy". This thread is wild to me.

 

[boys noize]

Originally Posted by usainboltisfast

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

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

you are assuming the problem is 48 divided by 2 times the solution of 9 and 3. It is actually 48 divided by 2 times the solution of 9+3 the way it is written in the calculator.


There is no assumption. That is just how you solve the problem if you follow the distributive property. If you ignore the distributive property, you can get 288.

 

[boys noize]

Originally Posted by usainboltisfast

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

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

you are assuming the problem is 48 divided by 2 times the solution of 9 and 3. It is actually 48 divided by 2 times the solution of 9+3 the way it is written in the calculator.


There is no assumption. That is just how you solve the problem if you follow the distributive property. If you ignore the distributive property, you can get 288.

 

[do work son]

Originally Posted by 2g00d4u

Originally Posted by dmbrhs

Originally Posted by usainboltisfast

You are assuming the problem is 48 divided by the solution of 2 and 9 plus 3. The problem is actually 48 divided by 2 multiplied by (9 plus 3)

Where is the multiplication symbol that proves your so-called "actual" version is correct?

Does 2(12) not equal 2*12?

technically yes, but in the context of the problem you have to complete it as 2(12) because changing that to 2*12 disrupts the true order of operations

 

[do work son]

Originally Posted by 2g00d4u

Originally Posted by dmbrhs

Originally Posted by usainboltisfast

You are assuming the problem is 48 divided by the solution of 2 and 9 plus 3. The problem is actually 48 divided by 2 multiplied by (9 plus 3)

Where is the multiplication symbol that proves your so-called "actual" version is correct?

Does 2(12) not equal 2*12?

technically yes, but in the context of the problem you have to complete it as 2(12) because changing that to 2*12 disrupts the true order of operations

 

[DeadsetAce]

Originally Posted by HankMoody

Originally Posted by Stay Lurkin

Hmmm, if you sub in X for any of the #'s and have it = 2, it will work. Have it equal 288? Not so much

It's 2. No

about it. I did the algebraic substitution right when I saw there was "controversy". This thread is wild to me.

i mean 288 or 2 are both fairly reasonable answers...but anything else and good lord...has me

 

[DeadsetAce]

Originally Posted by HankMoody

Originally Posted by Stay Lurkin

Hmmm, if you sub in X for any of the #'s and have it = 2, it will work. Have it equal 288? Not so much

It's 2. No

about it. I did the algebraic substitution right when I saw there was "controversy". This thread is wild to me.

i mean 288 or 2 are both fairly reasonable answers...but anything else and good lord...has me

 

[scotthallwithapick]

Change (9+3) to (x) and you'll see the answer is 288

 

[scotthallwithapick]

Change (9+3) to (x) and you'll see the answer is 288

 

[balloonoboy]

Originally Posted by DeadsetAce

Originally Posted by balloonoboy

Originally Posted by DeadsetAce

Originally Posted by balloonoboy

If I complete the 18 + 6 am I not adding, which occurs later in the order of operations. Since the parenthesis was removed when I whole way distributed, we then move on to dividing and then adding.

If the parenthesis remains after distribution, then this is all a moot point and the answer is 2.

you didn't whole way distribute until you combine 18 and 6

now whether or not to distribute, that's the question. our whole debate is do you distribute before doing 48/2 or after

That's not necessarily true. Distribution is only making a(b+c) = ab + ac. Not going a step further and finding the sum.

i dont know what else to tell you. you're reading the chart too literally. the only reason it doesnt go further is because there is nothing left to do in the example they provided. if there was another part of the equation in the example, you would combine before moving forward.

Word?

Taken from Wikipedia:

Given a set S and two binary operations · and + on S, we say that the operation ·

is left-distributive over + if, given any elements x, y, and z of S,
x · (y + z) = (x · y) + (x · z);

is right-distributive over + if, given any elements x, y, and z of S:
(y + z) · x = (y · x) + (z · x);

is distributive over + if it is both left- and right-distributive.
Notice that when · is commutative, then the three above conditions are logically equivalent.

They didn't combine anything or leave them in parenthesis.

 

[balloonoboy]

Originally Posted by DeadsetAce

Originally Posted by balloonoboy

Originally Posted by DeadsetAce

Originally Posted by balloonoboy

If I complete the 18 + 6 am I not adding, which occurs later in the order of operations. Since the parenthesis was removed when I whole way distributed, we then move on to dividing and then adding.

If the parenthesis remains after distribution, then this is all a moot point and the answer is 2.

you didn't whole way distribute until you combine 18 and 6

now whether or not to distribute, that's the question. our whole debate is do you distribute before doing 48/2 or after

That's not necessarily true. Distribution is only making a(b+c) = ab + ac. Not going a step further and finding the sum.

i dont know what else to tell you. you're reading the chart too literally. the only reason it doesnt go further is because there is nothing left to do in the example they provided. if there was another part of the equation in the example, you would combine before moving forward.

Word?

Taken from Wikipedia:

Given a set S and two binary operations · and + on S, we say that the operation ·

is left-distributive over + if, given any elements x, y, and z of S,
x · (y + z) = (x · y) + (x · z);

is right-distributive over + if, given any elements x, y, and z of S:
(y + z) · x = (y · x) + (z · x);

is distributive over + if it is both left- and right-distributive.
Notice that when · is commutative, then the three above conditions are logically equivalent.

They didn't combine anything or leave them in parenthesis.

 

[boys noize]

Originally Posted by waystinthyme

the original problem is: 48÷2(9+3)

the confusion comes in, because people try to rewrite the equation as 48/2(9+3), which can be misinterpreted as 48 in the numerator divided by 2(9+3) in the denominator, which then gives you an answer of 2.

as written (in the original problem), the answer is undeniably 288.

for those who think the answer is 2, please answer this equation:

48/2(6+2)+5+3+4

Spoiler

Spoiler

Spoiler [+]

Spoiler

by the logic you used to get 2 (you assumed that everything behind the / -- in your rewritten interpretation of the original equation -- was in the denominator) your answer to the above question would be 1. the correct answer to the problem above is 300...just as the correct answer to the original problem is 288.

-waystinthyme

Again, it's not an assumption that everything behind the / is the denominator. If you follow the distributive property, you simply can not divide 48 by 2 first. You MUST resolve 2(9 + 3) first.
and to answer your equation:

48 / 2(6 + 2) + 5 + 3 + 4 = 48 / (12 + 4) + 5 + 3 + 4

                                       = 48 / 16 + 5 + 3 + 4

                                       = 3 + 5 + 3 + 4

                                       = 15

Not 300.

 

[boys noize]

Originally Posted by waystinthyme

the original problem is: 48÷2(9+3)

the confusion comes in, because people try to rewrite the equation as 48/2(9+3), which can be misinterpreted as 48 in the numerator divided by 2(9+3) in the denominator, which then gives you an answer of 2.

as written (in the original problem), the answer is undeniably 288.

for those who think the answer is 2, please answer this equation:

48/2(6+2)+5+3+4

Spoiler

Spoiler

Spoiler [+]

Spoiler

by the logic you used to get 2 (you assumed that everything behind the / -- in your rewritten interpretation of the original equation -- was in the denominator) your answer to the above question would be 1. the correct answer to the problem above is 300...just as the correct answer to the original problem is 288.

-waystinthyme

Again, it's not an assumption that everything behind the / is the denominator. If you follow the distributive property, you simply can not divide 48 by 2 first. You MUST resolve 2(9 + 3) first.
and to answer your equation:

48 / 2(6 + 2) + 5 + 3 + 4 = 48 / (12 + 4) + 5 + 3 + 4

                                       = 48 / 16 + 5 + 3 + 4

                                       = 3 + 5 + 3 + 4

                                       = 15

Not 300.

 

[rocky437]

You Idiots, the answer is 2.

48/2(9+3)=
48/[2(9+3)]=
48/[18+6]=
48/24=
2

 

[hankmoody]

Originally Posted by ScottHallWithAPick

Change (9+3) to (x) and you'll see the answer is 288

48 divided by 2(x) = 288?

x doesn't equal 12!!

 

[hankmoody]

Originally Posted by ScottHallWithAPick

Change (9+3) to (x) and you'll see the answer is 288

48 divided by 2(x) = 288?

x doesn't equal 12!!

 

[rocky437]

You Idiots, the answer is 2.

48/2(9+3)=
48/[2(9+3)]=
48/[18+6]=
48/24=
2

 

[DeadsetAce]

 

[balloonoboy]

Originally Posted by Rocky437

You Idiots, the answer is 2.

48/2(9+3)=
48/[2(9+3)]=
48/[18+6]=
48/24=
2

How you adding brackets, though? Not saying the answer is wrong, but I don't see brackets in the OG equation.

 

[DeadsetAce]

 

[balloonoboy]

Originally Posted by Rocky437

You Idiots, the answer is 2.

48/2(9+3)=
48/[2(9+3)]=
48/[18+6]=
48/24=
2

How you adding brackets, though? Not saying the answer is wrong, but I don't see brackets in the OG equation.