48÷2(9+3) = ???

[usainboltisfast]

Originally Posted by pacmagic2002

Originally Posted by msaba07

for those who don't like economists ...

A common technique for remembering the order of operations is the abbreviation "PEMDAS", which is turned into the phrase "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". This tells you the ranks of the operations: 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. For instance, 15 ÷ 3 × 4 is not 15 ÷ 12, but is rather 5 × 4, because, going from left to right, you get to the division first.

/thread

Again, the left to right thing isnt the problem.  The problem is if you should multiply 2 by 12 FIRST because 12 is "Still in the parenthesis" and needs to be resolved, or if solving the 9+3 resolved the parenthesis and makes it 48/2*12, in which case you would do left to right.......
but if its "Still in the parenthesis" it would be read as 48/2(12) and because the 12 is still within the parenthesis, you need to multiply 2 time 12 first, which makes it 2.

this is the issue, so keep it open...

Hey, a healthy conversation about something other than WSHH or TMZ is always good

The 12 is resolved though....

 

[russ tha g]

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

 

[russ tha g]

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

 

[usainboltisfast]

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

The parenthesis is removed though once 9+3 is resolved. Juxtaposition just shows that you are MULTIPLYING nothing else. THERE IS NO LAW OF JUXTAPOSITION IN REGARDS TO ORDER OF OPERATION.

 

[usainboltisfast]

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

The parenthesis is removed though once 9+3 is resolved. Juxtaposition just shows that you are MULTIPLYING nothing else. THERE IS NO LAW OF JUXTAPOSITION IN REGARDS TO ORDER OF OPERATION.

 

[miamin2]

seriously, how did this get to 47 pages? lol

 

[pacmagic2002]

Originally Posted by usainboltisfast

Originally Posted by pacmagic2002

Originally Posted by msaba07

for those who don't like economists ...




/thread

Again, the left to right thing isnt the problem.  The problem is if you should multiply 2 by 12 FIRST because 12 is "Still in the parenthesis" and needs to be resolved, or if solving the 9+3 resolved the parenthesis and makes it 48/2*12, in which case you would do left to right.......
but if its "Still in the parenthesis" it would be read as 48/2(12) and because the 12 is still within the parenthesis, you need to multiply 2 time 12 first, which makes it 2.

this is the issue, so keep it open...

Hey, a healthy conversation about something other than WSHH or TMZ is always good

The 12 is resolved though....

I know, but again, thats why there are 2 different answers.

 

[miamin2]

seriously, how did this get to 47 pages? lol

 

[pacmagic2002]

Originally Posted by usainboltisfast

Originally Posted by pacmagic2002

Originally Posted by msaba07

for those who don't like economists ...




/thread

Again, the left to right thing isnt the problem.  The problem is if you should multiply 2 by 12 FIRST because 12 is "Still in the parenthesis" and needs to be resolved, or if solving the 9+3 resolved the parenthesis and makes it 48/2*12, in which case you would do left to right.......
but if its "Still in the parenthesis" it would be read as 48/2(12) and because the 12 is still within the parenthesis, you need to multiply 2 time 12 first, which makes it 2.

this is the issue, so keep it open...

Hey, a healthy conversation about something other than WSHH or TMZ is always good

The 12 is resolved though....

I know, but again, thats why there are 2 different answers.

 

[usainboltisfast]

Originally Posted by pacmagic2002

Originally Posted by usainboltisfast

Originally Posted by pacmagic2002

Again, the left to right thing isnt the problem.  The problem is if you should multiply 2 by 12 FIRST because 12 is "Still in the parenthesis" and needs to be resolved, or if solving the 9+3 resolved the parenthesis and makes it 48/2*12, in which case you would do left to right.......
but if its "Still in the parenthesis" it would be read as 48/2(12) and because the 12 is still within the parenthesis, you need to multiply 2 time 12 first, which makes it 2.

this is the issue, so keep it open...

Hey, a healthy conversation about something other than WSHH or TMZ is always good

The 12 is resolved though....

I know, but again, thats why there are 2 different questions.

There is not 2 different questions though. Once the 12 becomes 12 the parenthesis are REMOVED. Its just common math sense. Show me an example where someone keeps the parenthesis on after its been resolved to 1 thing.

 

[usainboltisfast]

Originally Posted by pacmagic2002

Originally Posted by usainboltisfast

Originally Posted by pacmagic2002

Again, the left to right thing isnt the problem.  The problem is if you should multiply 2 by 12 FIRST because 12 is "Still in the parenthesis" and needs to be resolved, or if solving the 9+3 resolved the parenthesis and makes it 48/2*12, in which case you would do left to right.......
but if its "Still in the parenthesis" it would be read as 48/2(12) and because the 12 is still within the parenthesis, you need to multiply 2 time 12 first, which makes it 2.

this is the issue, so keep it open...

Hey, a healthy conversation about something other than WSHH or TMZ is always good

The 12 is resolved though....

I know, but again, thats why there are 2 different questions.

There is not 2 different questions though. Once the 12 becomes 12 the parenthesis are REMOVED. Its just common math sense. Show me an example where someone keeps the parenthesis on after its been resolved to 1 thing.

 

[Specter]

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

if the 2(9+3) is together that means your multiplying and have left the parenthesis. Which is completely wrong. Since you're going left to right the division comes before the multiplication. Like I said before if it was like this (2(9+3)) then yes the answer would be 2 but it's not.

 

[Specter]

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

if the 2(9+3) is together that means your multiplying and have left the parenthesis. Which is completely wrong. Since you're going left to right the division comes before the multiplication. Like I said before if it was like this (2(9+3)) then yes the answer would be 2 but it's not.

 

[russ tha g]

Originally Posted by usainboltisfast

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

The parenthesis is removed though once 9+3 is resolved. Juxtaposition just shows that you are MULTIPLYING nothing else. THERE IS NO LAW OF JUXTAPOSITION IN REGARDS TO ORDER OF OPERATION.

So we'd have the 12 multiplied by the 2, right? the division sign would indicate the separation between numerator and denominator, wouldn't it? I think the numerator/denominator issue is what causes the ambiguity or disagreement here. Because I think the 12 would be in the denominator along with the 2, thus making the denominator 24, and the answer 2.

 

[russ tha g]

Originally Posted by usainboltisfast

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

The parenthesis is removed though once 9+3 is resolved. Juxtaposition just shows that you are MULTIPLYING nothing else. THERE IS NO LAW OF JUXTAPOSITION IN REGARDS TO ORDER OF OPERATION.

So we'd have the 12 multiplied by the 2, right? the division sign would indicate the separation between numerator and denominator, wouldn't it? I think the numerator/denominator issue is what causes the ambiguity or disagreement here. Because I think the 12 would be in the denominator along with the 2, thus making the denominator 24, and the answer 2.

 

[russ tha g]

Originally Posted by Dips3tRydah

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

if the 2(9+3) is together that means your multiplying and have left the parenthesis. Which is completely wrong. Since you're going left to right the division comes before the multiplication. Like I said before if it was like this (2(9+3)) then yes the answer would be 2 but it's not.

But if the division sign is an indicator of the separation between numerator and denominator, then the two sides are calculated separately. So the second set of parenthesis would be implied.

 

[russ tha g]

Originally Posted by Dips3tRydah

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

if the 2(9+3) is together that means your multiplying and have left the parenthesis. Which is completely wrong. Since you're going left to right the division comes before the multiplication. Like I said before if it was like this (2(9+3)) then yes the answer would be 2 but it's not.

But if the division sign is an indicator of the separation between numerator and denominator, then the two sides are calculated separately. So the second set of parenthesis would be implied.

 

[pacmagic2002]

Originally Posted by usainboltisfast

Originally Posted by pacmagic2002

Originally Posted by usainboltisfast

The 12 is resolved though....

I know, but again, thats why there are 2 different questions.

There is not 2 different questions though. Once the 12 becomes 12 the parenthesis are REMOVED. Its just common math sense. Show me an example where someone keeps the parenthesis on after its been resolved to 1 thing.

I edited to put answers........dont know why i typed questions instead.
You gotta search the thread.......It was something like "The parenthesis dont just go away".  I think it was crux or holden.....I dont remember.

 

[pacmagic2002]

Originally Posted by usainboltisfast

Originally Posted by pacmagic2002

Originally Posted by usainboltisfast

The 12 is resolved though....

I know, but again, thats why there are 2 different questions.

There is not 2 different questions though. Once the 12 becomes 12 the parenthesis are REMOVED. Its just common math sense. Show me an example where someone keeps the parenthesis on after its been resolved to 1 thing.

I edited to put answers........dont know why i typed questions instead.
You gotta search the thread.......It was something like "The parenthesis dont just go away".  I think it was crux or holden.....I dont remember.

 

[Specter]

Originally Posted by Russ tha G

Originally Posted by Dips3tRydah

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

if the 2(9+3) is together that means your multiplying and have left the parenthesis. Which is completely wrong. Since you're going left to right the division comes before the multiplication. Like I said before if it was like this (2(9+3)) then yes the answer would be 2 but it's not.

But if the division sign is an indicator of the separation between numerator and denominator, then the two sides are calculated separately. So the second set of parenthesis would be implied.

No it wouldn't. You can't just add more parenthesis than what the problem stated Do it this way: 48/2 * 9+3/1

 

[Specter]

Originally Posted by Russ tha G

Originally Posted by Dips3tRydah

Originally Posted by Russ tha G

It depends on how the equation is written. If the 2(9+3) is all in the denominator together, then it's 2. If the 2 is in the denominator alone and the (9+3) is just off to the side, then it's 288.

However, the equation is written like this:

48÷2(9+3)

which means the 2 and the (9+3) are together. If it was written out in a vertical form, the (9+3) would be in the denominator with the 2. Thus, 2 is the answer.

The 48÷2 would have to be in its own set of parenthesis for it to be calculated separately from the (9+3). Then the products of the adjacent parenthesis would be multiplied and we would get 288.

if the 2(9+3) is together that means your multiplying and have left the parenthesis. Which is completely wrong. Since you're going left to right the division comes before the multiplication. Like I said before if it was like this (2(9+3)) then yes the answer would be 2 but it's not.

But if the division sign is an indicator of the separation between numerator and denominator, then the two sides are calculated separately. So the second set of parenthesis would be implied.

No it wouldn't. You can't just add more parenthesis than what the problem stated Do it this way: 48/2 * 9+3/1

 

[russ tha g]

48÷2(9+3) =

It's asking for the quotient of dividing 48 by the product of 2 and the sum of 9 and 3.

The product of 2 and the sum of 9 and 3 is the same as the product of 2 and 12. Which is 24

The quotient of 48 divided by 24 is 2.

 

[russ tha g]

48÷2(9+3) =

It's asking for the quotient of dividing 48 by the product of 2 and the sum of 9 and 3.

The product of 2 and the sum of 9 and 3 is the same as the product of 2 and 12. Which is 24

The quotient of 48 divided by 24 is 2.

 

[Specter]

Originally Posted by Russ tha G

48÷2(9+3) =

It's asking for the quotient of dividing 48 by the product of 2 and the sum of 9 and 3.

The product of 2 and the sum of 9 and 3 is the same as the product of 2 and 12. Which is 24

The quotient of 48 divided by 24 is 2.

No it isn't. If you go by that method you completely thrown out the order of operations. 9+3 is the first step and then you deal with the 48/2. If the problem was just 48/2(12)(which is step2) you would do the left to right method since there's no need to solve anything in the parenthesis.

 

[Specter]

Originally Posted by Russ tha G

48÷2(9+3) =

It's asking for the quotient of dividing 48 by the product of 2 and the sum of 9 and 3.

The product of 2 and the sum of 9 and 3 is the same as the product of 2 and 12. Which is 24

The quotient of 48 divided by 24 is 2.

No it isn't. If you go by that method you completely thrown out the order of operations. 9+3 is the first step and then you deal with the 48/2. If the problem was just 48/2(12)(which is step2) you would do the left to right method since there's no need to solve anything in the parenthesis.