48÷2(9+3) = ???

Originally Posted by imthekang

Originally Posted by usainboltisfast

Originally Posted by imthekang


P.E.M.D.A.S

   Because Multiplying comes before Division.......


you follow the steps in order....

48/2(9+3)     Parentheses

48/2*12      Multiplying

48/24          Division

=2

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).

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

http://www.algebrahelp.com/lessons/simplifying/oops/

http://www.onlinemathlear...perations-worksheet.html


you got me usain......due to this key sentence..."When you have a bunch of operations of the same rank, you just operate from left to right.(multiplication and division are at the same rank)"--http://www.purplemath.com/modules/orderops.htmhttp://www.purplemath.com/modules/orderops.htm


im wise enough to admit that i was incorrect at first and the grand answer is 288....

48/2(9+3)     Parentheses

48/2*12      Division(operate from left to right)

12*24          Multiply

=288....




LOCK..




Welcome to the LIGHT my friend, we have been awaiting you.

Now throw on that team 288 sig to complete your conversion...


laugh.gif
laugh.gif
...
pimp.gif
pimp.gif




...
 
Originally Posted by do work son

Originally Posted by TheHealthInspector

Originally Posted by do work son

the original problem is 48÷2(9+3)

everything after the division sign is in the denominator. if you argue that the (9+3) is not in the denominator, then the problem would have been written (48÷2)(9+3)

whats up with "2" people and "denominator" people constantly trying to restructure the problem by adding parentheses that are unproven

(48)/(2)(9+3) ..... no unproven parentheses.... left to right

whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
The / DOESNT NOT STAND FOR FRACTION. IT STANDS FOR DIVISION. A fraction has 2 PARTS. If it was supposed to be interpreted your way it would be (48)/(2(9+3)). Casio calculators arent #$!* 99% of college courses use TI calculators.
 
The real question is.. Is "÷" really a separate term from "/" that specifically means that everything after it is in the denominator?

That would mean that "48÷2(9+3)" = "48/(2(9+3))", and DOES NOT equal "48/2(9+3)"..

That's a slippery slope right there..
 
The real question is.. Is "÷" really a separate term from "/" that specifically means that everything after it is in the denominator?

That would mean that "48÷2(9+3)" = "48/(2(9+3))", and DOES NOT equal "48/2(9+3)"..

That's a slippery slope right there..
 
Originally Posted by do work son

Originally Posted by TheHealthInspector

Originally Posted by do work son

the original problem is 48÷2(9+3)

everything after the division sign is in the denominator. if you argue that the (9+3) is not in the denominator, then the problem would have been written (48÷2)(9+3)

whats up with "2" people and "denominator" people constantly trying to restructure the problem by adding parentheses that are unproven

(48)/(2)(9+3) ..... no unproven parentheses.... left to right

whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
The / DOESNT NOT STAND FOR FRACTION. IT STANDS FOR DIVISION. A fraction has 2 PARTS. If it was supposed to be interpreted your way it would be (48)/(2(9+3)). Casio calculators arent #$!* 99% of college courses use TI calculators.
 
Originally Posted by imthekang

Originally Posted by usainboltisfast

Originally Posted by imthekang


P.E.M.D.A.S

   Because Multiplying comes before Division.......


you follow the steps in order....

48/2(9+3)     Parentheses

48/2*12      Multiplying

48/24          Division

=2

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).

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

http://www.algebrahelp.com/lessons/simplifying/oops/

http://www.onlinemathlear...perations-worksheet.html


you got me usain......due to this key sentence..."When you have a bunch of operations of the same rank, you just operate from left to right.(multiplication and division are at the same rank)"--http://www.purplemath.com/modules/orderops.htmhttp://www.purplemath.com/modules/orderops.htm


im wise enough to admit that i was incorrect at first and the grand answer is 288....

48/2(9+3)     Parentheses

48/2*12      Division(operate from left to right)

12*24          Multiply

=288....




LOCK..




Welcome to the LIGHT my friend, we have been awaiting you.

Now throw on that team 288 sig to complete your conversion...


laugh.gif
laugh.gif
...
pimp.gif
pimp.gif




...
 
Originally Posted by do work son

Originally Posted by TheHealthInspector

Originally Posted by do work son

the original problem is 48÷2(9+3)

everything after the division sign is in the denominator. if you argue that the (9+3) is not in the denominator, then the problem would have been written (48÷2)(9+3)

whats up with "2" people and "denominator" people constantly trying to restructure the problem by adding parentheses that are unproven

(48)/(2)(9+3) ..... no unproven parentheses.... left to right

whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
Under that guise, 48÷2(9+3) is correct... then it is correctly written as 48÷2*(9+3) = 48÷2*12 = 24*12=288.

If the equation was written: 48÷(2(9+3)) = 48÷(2(12)) = 48÷24 = 2.

But as stated... that would be restructuring the problem.
 
Originally Posted by do work son

Originally Posted by TheHealthInspector

Originally Posted by do work son

the original problem is 48÷2(9+3)

everything after the division sign is in the denominator. if you argue that the (9+3) is not in the denominator, then the problem would have been written (48÷2)(9+3)

whats up with "2" people and "denominator" people constantly trying to restructure the problem by adding parentheses that are unproven

(48)/(2)(9+3) ..... no unproven parentheses.... left to right

whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
Under that guise, 48÷2(9+3) is correct... then it is correctly written as 48÷2*(9+3) = 48÷2*12 = 24*12=288.

If the equation was written: 48÷(2(9+3)) = 48÷(2(12)) = 48÷24 = 2.

But as stated... that would be restructuring the problem.
 
Originally Posted by TheHealthInspector

Originally Posted by do work son

Originally Posted by TheHealthInspector


whats up with "2" people and "denominator" people constantly trying to restructure the problem by adding parentheses that are unproven

(48)/(2)(9+3) ..... no unproven parentheses.... left to right

whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.

theyre the SAME thing, theres never "that" denominator, you only get "that" denominator when you restructure the problem

(48)/(2)(9+3) ... no restructuring... no unproven parentheses... left to right
because there is a ÷ sign in the problem, you divide the 48 by everything after it unless otherwise specified. 2(9+3) is a singular term, meaning to satisfy to parenthesis rule in PEMDAS, you first add the 9 and 3, then multiply by 2. at that point the parenthesis is obsolete and you can then move to the division portion of PEMDAS.

the discrepancy here is how to distribute the 2.

48 ÷ ((2*9) + (2*3))
48 ÷ (18 + 6)
48÷ (24)

now that the term is as simple as it can get, you then remove the parenthesis and continue with the problem.

= 2
 
Originally Posted by TheHealthInspector

Originally Posted by do work son

Originally Posted by TheHealthInspector


whats up with "2" people and "denominator" people constantly trying to restructure the problem by adding parentheses that are unproven

(48)/(2)(9+3) ..... no unproven parentheses.... left to right

whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.

theyre the SAME thing, theres never "that" denominator, you only get "that" denominator when you restructure the problem

(48)/(2)(9+3) ... no restructuring... no unproven parentheses... left to right
because there is a ÷ sign in the problem, you divide the 48 by everything after it unless otherwise specified. 2(9+3) is a singular term, meaning to satisfy to parenthesis rule in PEMDAS, you first add the 9 and 3, then multiply by 2. at that point the parenthesis is obsolete and you can then move to the division portion of PEMDAS.

the discrepancy here is how to distribute the 2.

48 ÷ ((2*9) + (2*3))
48 ÷ (18 + 6)
48÷ (24)

now that the term is as simple as it can get, you then remove the parenthesis and continue with the problem.

= 2
 
Originally Posted by GRyPR33

Originally Posted by hella handsome

Originally Posted by G to tha T

hmm I tried solving this using both division and fraction sign and I get this...

rbay4k.jpg

sick.gif
See, what I don't get is if us 2 supporters are so wrong how the hell did the calculator come to the answer of 2 at all?
The calculator would have had to be using the same logic as us.

They'd be programmed to follow PEMDAS as well, but this problem triggered that rule to be overwritten, leading me to believe that we are in fact, right.

2!!!!!!!
anybody??
 
Originally Posted by GRyPR33

Originally Posted by hella handsome

Originally Posted by G to tha T

hmm I tried solving this using both division and fraction sign and I get this...

rbay4k.jpg

sick.gif
See, what I don't get is if us 2 supporters are so wrong how the hell did the calculator come to the answer of 2 at all?
The calculator would have had to be using the same logic as us.

They'd be programmed to follow PEMDAS as well, but this problem triggered that rule to be overwritten, leading me to believe that we are in fact, right.

2!!!!!!!
anybody??
 
Originally Posted by 8tothe24

Originally Posted by do work son

Originally Posted by TheHealthInspector


whats up with "2" people and "denominator" people constantly trying to restructure the problem by adding parentheses that are unproven

(48)/(2)(9+3) ..... no unproven parentheses.... left to right

whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
Under that guise, 48÷2(9+3) is correct... then it is correctly written as 48÷2*(9+3) = 48÷2*12 = 24*12=288.

If the equation was written: 48÷(2(9+3)) = 48÷(2(12)) = 48÷24 = 2.

But as stated... that would be restructuring the problem.
you just restructured the problem by separating the term 2(9+3) when it should not be separated. by doing that you removed (9+3) from the denominator, completely changing the problem.
 
Originally Posted by 8tothe24

Originally Posted by do work son

Originally Posted by TheHealthInspector


whats up with "2" people and "denominator" people constantly trying to restructure the problem by adding parentheses that are unproven

(48)/(2)(9+3) ..... no unproven parentheses.... left to right

whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
Under that guise, 48÷2(9+3) is correct... then it is correctly written as 48÷2*(9+3) = 48÷2*12 = 24*12=288.

If the equation was written: 48÷(2(9+3)) = 48÷(2(12)) = 48÷24 = 2.

But as stated... that would be restructuring the problem.
you just restructured the problem by separating the term 2(9+3) when it should not be separated. by doing that you removed (9+3) from the denominator, completely changing the problem.
 
Originally Posted by UnkleTomCruze

Originally Posted by imthekang

Originally Posted by usainboltisfast


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).

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

http://www.algebrahelp.com/lessons/simplifying/oops/

http://www.onlinemathlear...perations-worksheet.html


you got me usain......due to this key sentence..."When you have a bunch of operations of the same rank, you just operate from left to right.(multiplication and division are at the same rank)"--http://www.purplemath.com/modules/orderops.htmhttp://www.purplemath.com/modules/orderops.htm


im wise enough to admit that i was incorrect at first and the grand answer is 288....

48/2(9+3)     Parentheses

48/2*12      Division(operate from left to right)

12*24          Multiply

=288....




LOCK..




Welcome to the LIGHT my friend, we have been awaiting you.

Now throw on that team 288 sig to complete your conversion...


laugh.gif
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...
pimp.gif
pimp.gif




...


  
laugh.gif
 thanks for the invite but im Solo Dolo....
 
Originally Posted by UnkleTomCruze

Originally Posted by imthekang

Originally Posted by usainboltisfast


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).

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

http://www.algebrahelp.com/lessons/simplifying/oops/

http://www.onlinemathlear...perations-worksheet.html


you got me usain......due to this key sentence..."When you have a bunch of operations of the same rank, you just operate from left to right.(multiplication and division are at the same rank)"--http://www.purplemath.com/modules/orderops.htmhttp://www.purplemath.com/modules/orderops.htm


im wise enough to admit that i was incorrect at first and the grand answer is 288....

48/2(9+3)     Parentheses

48/2*12      Division(operate from left to right)

12*24          Multiply

=288....




LOCK..




Welcome to the LIGHT my friend, we have been awaiting you.

Now throw on that team 288 sig to complete your conversion...


laugh.gif
laugh.gif
...
pimp.gif
pimp.gif




...


  
laugh.gif
 thanks for the invite but im Solo Dolo....
 
Originally Posted by do work son

Originally Posted by 8tothe24

Originally Posted by do work son


whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
Under that guise, 48÷2(9+3) is correct... then it is correctly written as 48÷2*(9+3) = 48÷2*12 = 24*12=288.

If the equation was written: 48÷(2(9+3)) = 48÷(2(12)) = 48÷24 = 2.

But as stated... that would be restructuring the problem.
you just restructured the problem by separating the term 2(9+3) when it should not be separated. by doing that you removed (9+3) from the denominator, completely changing the problem.
You do realize that when two terms are touching each other it just means MULTIPLICATION nothing else. You signify things that cant be removed together with parenthesis and the terms have to be INSIDE of them. When terms are touching with no parenthesis covering them it means they are being multiplied NOTHING MORE.
 
IMO the 2 is intended for the (9+3) and the (9+3) only. If it's not then write the equation as 48÷2x12... like mentioned before you normally use the parenthesis if there was a variable so with no unknown variable 2(9+3) is understood to be 24... that's how I learned my math *shrug*
 
Originally Posted by do work son

Originally Posted by 8tothe24

Originally Posted by do work son


whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
Under that guise, 48÷2(9+3) is correct... then it is correctly written as 48÷2*(9+3) = 48÷2*12 = 24*12=288.

If the equation was written: 48÷(2(9+3)) = 48÷(2(12)) = 48÷24 = 2.

But as stated... that would be restructuring the problem.
you just restructured the problem by separating the term 2(9+3) when it should not be separated. by doing that you removed (9+3) from the denominator, completely changing the problem.
You do realize that when two terms are touching each other it just means MULTIPLICATION nothing else. You signify things that cant be removed together with parenthesis and the terms have to be INSIDE of them. When terms are touching with no parenthesis covering them it means they are being multiplied NOTHING MORE.
 
IMO the 2 is intended for the (9+3) and the (9+3) only. If it's not then write the equation as 48÷2x12... like mentioned before you normally use the parenthesis if there was a variable so with no unknown variable 2(9+3) is understood to be 24... that's how I learned my math *shrug*
 
Originally Posted by do work son

Originally Posted by TheHealthInspector

Originally Posted by do work son


whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.

theyre the SAME thing, theres never "that" denominator, you only get "that" denominator when you restructure the problem

(48)/(2)(9+3) ... no restructuring... no unproven parentheses... left to right
because there is a ÷ sign in the problem, you divide the 48 by everything after it unless otherwise specified. 2(9+3) is a singular term, meaning to satisfy to parenthesis rule in PEMDAS, you first add the 9 and 3, then multiply by 2. at that point the parenthesis is obsolete and you can then move to the division portion of PEMDAS.

the discrepancy here is how to distribute the 2.

48 ÷ ((2*9) + (2*3))
48 ÷ (18 + 6)
48÷ (24)

now that the term is as simple as it can get, you then remove the parenthesis and continue with the problem.

= 2

÷ and / are the same thing, the denominator does not exist as you see it unless you restructure the problem, restructuring as in adding parentheses

2(9+3) does not automatically equal (2(9+3)), it is not automatically a single term, no mathematical rule proves that

it ONLY equals (2)(9+3) which equals (2) * (9+3)

youre restructuring the problem based on the notion that 2(9+3) automatically equals (2(9+3)) which is never proven, especially without adding in unproven parentheses

youre adding unproven parentheses
 
Originally Posted by do work son

Originally Posted by TheHealthInspector

Originally Posted by do work son


whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.

theyre the SAME thing, theres never "that" denominator, you only get "that" denominator when you restructure the problem

(48)/(2)(9+3) ... no restructuring... no unproven parentheses... left to right
because there is a ÷ sign in the problem, you divide the 48 by everything after it unless otherwise specified. 2(9+3) is a singular term, meaning to satisfy to parenthesis rule in PEMDAS, you first add the 9 and 3, then multiply by 2. at that point the parenthesis is obsolete and you can then move to the division portion of PEMDAS.

the discrepancy here is how to distribute the 2.

48 ÷ ((2*9) + (2*3))
48 ÷ (18 + 6)
48÷ (24)

now that the term is as simple as it can get, you then remove the parenthesis and continue with the problem.

= 2

÷ and / are the same thing, the denominator does not exist as you see it unless you restructure the problem, restructuring as in adding parentheses

2(9+3) does not automatically equal (2(9+3)), it is not automatically a single term, no mathematical rule proves that

it ONLY equals (2)(9+3) which equals (2) * (9+3)

youre restructuring the problem based on the notion that 2(9+3) automatically equals (2(9+3)) which is never proven, especially without adding in unproven parentheses

youre adding unproven parentheses
 
Originally Posted by snakeyes17

Originally Posted by dmbrhs

Originally Posted by UbUiBeMe

I teach high school math and the discussion in here is pretty funny.
laugh.gif


Multiply OR Divide LEFT to RIGHT and both rank equally meaning you don't have to multiply first because it comes first in PEMDAS!
roll.gif
. Keyword is "OR."

You don't multiply the 2 just because of distribution. It will always be LEFT to RIGHT!
But you would agree you have to solve for the parentheses, which means the 2 gets distributed, right?
Did you disregard what he just said? There is no variable therefore distribution does not occur. it is left to right....
Once again, I am willing to put my teacher's license on the line and state that the answer is 288.

Just because the 2 is on the outside of the parentheses does not mean you distribute before dividing. Distribution is NOT exclusive!
It is STILL left to right; whichever one comes first.!

1. 48 divided by 2(9+3)
2. 48 divided by 2(12)
....Multiplication OR division LEFT to RIGHT. Both rank equally.
3. 48 divided by 2 = 24, and 24 * 12 = 288.

I work DAILY with TI-84, TI-84+, TI-89, and the TI-Nspire. They ALL make mistakes.
 
Originally Posted by do work son

Originally Posted by 8tothe24

Originally Posted by do work son


whats with the 288 people changing 2(12) to 2* 1(12)?

the / indicates a fraction which would prove 288 right, but there isnt a "/" in the OG problem. there is a "÷" indicating that everything after it is in the denominator unless otherwise specified.
Under that guise, 48÷2(9+3) is correct... then it is correctly written as 48÷2*(9+3) = 48÷2*12 = 24*12=288.

If the equation was written: 48÷(2(9+3)) = 48÷(2(12)) = 48÷24 = 2.

But as stated... that would be restructuring the problem.
you just restructured the problem by separating the term 2(9+3) when it should not be separated. by doing that you removed (9+3) from the denominator, completely changing the problem.
Not at all. If it was meant to be in the denominator the problem would read 48÷(2(9+3)). As the problem reads, the ONLY thing in the denominator is the 2. 48 divided by 2. If the 2 touches the parentheses, it means multiplication. The problem would not originally be 48÷2*(9+3), or 48÷2 x (9+3), because it is UNDERSTOOD that the parentheses indicate multiplication of the number outside. But you can't just do that multiplication, because the division occurs before it going left to right.
 
Originally Posted by snakeyes17

Originally Posted by dmbrhs

Originally Posted by UbUiBeMe

I teach high school math and the discussion in here is pretty funny.
laugh.gif


Multiply OR Divide LEFT to RIGHT and both rank equally meaning you don't have to multiply first because it comes first in PEMDAS!
roll.gif
. Keyword is "OR."

You don't multiply the 2 just because of distribution. It will always be LEFT to RIGHT!
But you would agree you have to solve for the parentheses, which means the 2 gets distributed, right?
Did you disregard what he just said? There is no variable therefore distribution does not occur. it is left to right....
Once again, I am willing to put my teacher's license on the line and state that the answer is 288.

Just because the 2 is on the outside of the parentheses does not mean you distribute before dividing. Distribution is NOT exclusive!
It is STILL left to right; whichever one comes first.!

1. 48 divided by 2(9+3)
2. 48 divided by 2(12)
....Multiplication OR division LEFT to RIGHT. Both rank equally.
3. 48 divided by 2 = 24, and 24 * 12 = 288.

I work DAILY with TI-84, TI-84+, TI-89, and the TI-Nspire. They ALL make mistakes.
 
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