48÷2(9+3) = ???

[usainboltisfast]

Originally Posted by Boys Noize

Originally Posted by OptimusADL

Originally Posted by Boys Noize

You can. But as the question is written, you can't.
If it were written (48 / 2)(9 + 3) it would be 288. You can not make that assumption because it was not explicitly stated. 

as it stands, 48 / 2(9 + 3) MUST be solved by distributing the 2 amongst (9 + 3) first.

and again 2(9 + 3) is equivalent to (2 * 1(9 + 3))

Hopefully that clears it up once and for all.

You are solving the equation 48/(2(9+3)) in the original.
If we solve your way we dont get the answer 2 or 288.

48 / 18 + 6[h3]÷[/h3]

I've done the equation like five times in this thread and have shown work each time I've done it 

I'll do it again for you though.

48 / 2(9 +3) = 48 / (18 + 6)   < -- just because you distributed doesn't mean you're done with the parentheses)

                    = 48 / 24

                    = 2

YOU CAN ONLY DISTRIBUTE ONTO VARIABLES. By the LAW of order of operations you must solve whats in the parenthesis first

 

[2g00d4u]

Originally Posted by usainboltisfast

The ONLY way it is 2 is if you believe in multiplication by juxtaposition as a valid part of order of operation. THAT IS THE ONLY way it is 2.

This here. At first, I thought there could be only one right answer, but didnt know that you had to completely get rid of any parentheses.

I think someone already posted this link: http://www.purplemath.com/modules/orderops2.htm

I read through 2-3 different forums dealing with this problem and all of the answers were nearly split 50/50.

Basically, my head hurts now

Edit

something I still dont understand is distributing. it doesnt seem like it applies here.

 

[usainboltisfast]

Originally Posted by Boys Noize

Originally Posted by OptimusADL

Originally Posted by Boys Noize

You can. But as the question is written, you can't.
If it were written (48 / 2)(9 + 3) it would be 288. You can not make that assumption because it was not explicitly stated. 

as it stands, 48 / 2(9 + 3) MUST be solved by distributing the 2 amongst (9 + 3) first.

and again 2(9 + 3) is equivalent to (2 * 1(9 + 3))

Hopefully that clears it up once and for all.

You are solving the equation 48/(2(9+3)) in the original.
If we solve your way we dont get the answer 2 or 288.

48 / 18 + 6[h3]÷[/h3]

I've done the equation like five times in this thread and have shown work each time I've done it 

I'll do it again for you though.

48 / 2(9 +3) = 48 / (18 + 6)   < -- just because you distributed doesn't mean you're done with the parentheses)

                    = 48 / 24

                    = 2

YOU CAN ONLY DISTRIBUTE ONTO VARIABLES. By the LAW of order of operations you must solve whats in the parenthesis first

 

[boys noize]

Originally Posted by waystinthyme

Originally Posted by Boys Noize

Originally Posted by waystinthyme



48 / 2(9 + 3) IS NOT the original equation...

48÷2(9+3) IS the original equation.

-waystinthyme

  

/ and Ã· are the same thing.

you're right...

but 48/2(9+3) can be misinterpreted when written in a horizontal line...while 48÷2(9+3), can not...

which is my point. if you look at the ORIGINAL equation, the answer should be obvious. please see my other post. if the 2 crowd wants to add parentheses, then with the ORIGINAL equation, you could rewrite it as (48÷2)(9+3), but it is fine as originally written.

-waystinthyme

The reason this thread is 19 pages (and counting

) is because it's not obvious. It's a poorly written equation that is possibly intended to be confusing.
If the equation is read as it was originally written, the answer would still be 2 because you can not break the 2 from the (9 + 3). That really should have been the bottom line. 48 does not come into play until 2(9 + 3) is resolved due to the distributive property. In the order of operations it's important to know where you start. 48 / 2 is not a fraction in this equation.

 

[devildog1776]

288


whoever said 2 is a douche

 

[boys noize]

Originally Posted by waystinthyme

Originally Posted by Boys Noize

Originally Posted by waystinthyme



48 / 2(9 + 3) IS NOT the original equation...

48÷2(9+3) IS the original equation.

-waystinthyme

  

/ and Ã· are the same thing.

you're right...

but 48/2(9+3) can be misinterpreted when written in a horizontal line...while 48÷2(9+3), can not...

which is my point. if you look at the ORIGINAL equation, the answer should be obvious. please see my other post. if the 2 crowd wants to add parentheses, then with the ORIGINAL equation, you could rewrite it as (48÷2)(9+3), but it is fine as originally written.

-waystinthyme

The reason this thread is 19 pages (and counting

) is because it's not obvious. It's a poorly written equation that is possibly intended to be confusing.
If the equation is read as it was originally written, the answer would still be 2 because you can not break the 2 from the (9 + 3). That really should have been the bottom line. 48 does not come into play until 2(9 + 3) is resolved due to the distributive property. In the order of operations it's important to know where you start. 48 / 2 is not a fraction in this equation.

 

[balloonoboy]

Originally Posted by usainboltisfast

Originally Posted by balloonoboy

Originally Posted by do work son

Originally Posted by balloonoboy

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.

wait wait wait, you didn't just quote wikipedia did you?

Spoiler

Spoiler

Spoiler [+]

Yea but it agrees with the chart I posted and other distributive property rules. Take that %+%@ somewhere else. No where does it state you HAVE to resolve what's in the parenthesis. Only that you have to distribute.

You are wrong ballonboy. The example you gave was using variables not real numbers. In a situation with numbers you must SIMPLIFY before you move on. The reason your example didnt simplify is because you cant simplify passed that for just variables.

Okay. But the point remains that 2(9+3) = 18 + 6, not (18 + 6)

Going further than that would result in addition. Adding comes after division. 48 ÷ 18 + 6 and PEMDAS still applies.

Someone even made a post about this on bb.com. I hadn't known. Just did a quick google search just now.

http://forum.bodybuilding...owthread.php?p=659671603

 

[balloonoboy]

Originally Posted by usainboltisfast

Originally Posted by balloonoboy

Originally Posted by do work son

Originally Posted by balloonoboy

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.

wait wait wait, you didn't just quote wikipedia did you?

Spoiler

Spoiler

Spoiler [+]

Yea but it agrees with the chart I posted and other distributive property rules. Take that %+%@ somewhere else. No where does it state you HAVE to resolve what's in the parenthesis. Only that you have to distribute.

You are wrong ballonboy. The example you gave was using variables not real numbers. In a situation with numbers you must SIMPLIFY before you move on. The reason your example didnt simplify is because you cant simplify passed that for just variables.

Okay. But the point remains that 2(9+3) = 18 + 6, not (18 + 6)

Going further than that would result in addition. Adding comes after division. 48 ÷ 18 + 6 and PEMDAS still applies.

Someone even made a post about this on bb.com. I hadn't known. Just did a quick google search just now.

http://forum.bodybuilding...owthread.php?p=659671603

 

[devildog1776]

288


whoever said 2 is a douche

 

[optimusadl]

I dont see the argument. You should get the same answer anyway you solve it as long as you follow the rules.

48/2(9+3)

Using Quotient rule and Distribution rule the problem can be re-written as

48*.5(9+3)

Which still gives you 288.

 

[optimusadl]

I dont see the argument. You should get the same answer anyway you solve it as long as you follow the rules.

48/2(9+3)

Using Quotient rule and Distribution rule the problem can be re-written as

48*.5(9+3)

Which still gives you 288.

 

[cronicmolemolereturns]

I weep for Humanity-Albert Einstein.

 

[boys noize]

Originally Posted by usainboltisfast

Originally Posted by Boys Noize

Originally Posted by OptimusADL

You are solving the equation 48/(2(9+3)) in the original.
If we solve your way we dont get the answer 2 or 288.

48 / 18 + 6[h3]÷[/h3]

I've done the equation like five times in this thread and have shown work each time I've done it 

I'll do it again for you though.

48 / 2(9 +3) = 48 / (18 + 6)   < -- just because you distributed doesn't mean you're done with the parentheses)

                    = 48 / 24

                    = 2

YOU CAN ONLY DISTRIBUTE ONTO VARIABLES. By the LAW of order of operations you must solve whats in the parenthesis first

Exactly what I've been saying.
2(9 +3) is a simplified version of (2 * 1(9 + 3))

You can't tear out the two and divide 48 by it.

 

[boys noize]

Originally Posted by usainboltisfast

Originally Posted by Boys Noize

Originally Posted by OptimusADL

You are solving the equation 48/(2(9+3)) in the original.
If we solve your way we dont get the answer 2 or 288.

48 / 18 + 6[h3]÷[/h3]

I've done the equation like five times in this thread and have shown work each time I've done it 

I'll do it again for you though.

48 / 2(9 +3) = 48 / (18 + 6)   < -- just because you distributed doesn't mean you're done with the parentheses)

                    = 48 / 24

                    = 2

YOU CAN ONLY DISTRIBUTE ONTO VARIABLES. By the LAW of order of operations you must solve whats in the parenthesis first

Exactly what I've been saying.
2(9 +3) is a simplified version of (2 * 1(9 + 3))

You can't tear out the two and divide 48 by it.

 

[cronicmolemolereturns]

I weep for Humanity-Albert Einstein.

 

[do work son]

Originally Posted by balloonoboy

Originally Posted by usainboltisfast

Originally Posted by balloonoboy

Yea but it agrees with the chart I posted and other distributive property rules. Take that %+%@ somewhere else. No where does it state you HAVE to resolve what's in the parenthesis. Only that you have to distribute.

You are wrong ballonboy. The example you gave was using variables not real numbers. In a situation with numbers you must SIMPLIFY before you move on. The reason your example didnt simplify is because you cant simplify passed that for just variables.

Okay. But the point remains that 2(9+3) = 18 + 6, not (18 + 6)

Going further than that would result in addition. Adding comes after division. 48 ÷ 18 + 6 and PEMDAS still applies.

i think i've quoted you at least 5 times simply to say "combine the like terms that come from the distribution"

Spoiler

Spoiler

Spoiler [+]

Spoiler

combine the like terms that come from the distribution

 

[do work son]

Originally Posted by balloonoboy

Originally Posted by usainboltisfast

Originally Posted by balloonoboy

Yea but it agrees with the chart I posted and other distributive property rules. Take that %+%@ somewhere else. No where does it state you HAVE to resolve what's in the parenthesis. Only that you have to distribute.

You are wrong ballonboy. The example you gave was using variables not real numbers. In a situation with numbers you must SIMPLIFY before you move on. The reason your example didnt simplify is because you cant simplify passed that for just variables.

Okay. But the point remains that 2(9+3) = 18 + 6, not (18 + 6)

Going further than that would result in addition. Adding comes after division. 48 ÷ 18 + 6 and PEMDAS still applies.

i think i've quoted you at least 5 times simply to say "combine the like terms that come from the distribution"

Spoiler

Spoiler

Spoiler [+]

Spoiler

combine the like terms that come from the distribution

 

[usainboltisfast]

Originally Posted by balloonoboy

Originally Posted by usainboltisfast

Originally Posted by balloonoboy

Yea but it agrees with the chart I posted and other distributive property rules. Take that %+%@ somewhere else. No where does it state you HAVE to resolve what's in the parenthesis. Only that you have to distribute.

You are wrong ballonboy. The example you gave was using variables not real numbers. In a situation with numbers you must SIMPLIFY before you move on. The reason your example didnt simplify is because you cant simplify passed that for just variables.

Okay. But the point remains that 2(9+3) = 18 + 6, not (18 + 6)

Going further than that would result in addition. Adding comes after division. 48 ÷ 18 + 6 and PEMDAS still applies.

NO PEMDAS SAYS YOU MUST SIMPLIFY FIRST. you cant do 2(9+3) = 18 + 6 its actually 2 * 12 . You cant leave an addition in the parenthesis if you can simplify. Find an example online where they follow said law and they DONT simplify the parenthesis.

 

[usainboltisfast]

Originally Posted by balloonoboy

Originally Posted by usainboltisfast

Originally Posted by balloonoboy

Yea but it agrees with the chart I posted and other distributive property rules. Take that %+%@ somewhere else. No where does it state you HAVE to resolve what's in the parenthesis. Only that you have to distribute.

You are wrong ballonboy. The example you gave was using variables not real numbers. In a situation with numbers you must SIMPLIFY before you move on. The reason your example didnt simplify is because you cant simplify passed that for just variables.

Okay. But the point remains that 2(9+3) = 18 + 6, not (18 + 6)

Going further than that would result in addition. Adding comes after division. 48 ÷ 18 + 6 and PEMDAS still applies.

NO PEMDAS SAYS YOU MUST SIMPLIFY FIRST. you cant do 2(9+3) = 18 + 6 its actually 2 * 12 . You cant leave an addition in the parenthesis if you can simplify. Find an example online where they follow said law and they DONT simplify the parenthesis.

 

[frostythepoptart]

Originally Posted by FullMetal

Originally Posted by frostythepoptart

the parenthesis doesn't magically disappear after adding. (9+3) (7+2)
(12)(9)
Otherwise %!$ is left in the equation just a 12 and a 9 with no sign or anything to do with it?

48/2(9+3)

48/2(12)

Parenthesis is still there and will always be there until you take action to get rid of it by multiplying

48/24

2 jesus.

Yeah okay but in 48/2(12) division comes before multiplication. 

PARENTHESIS FIRST HOW IS IT SO HARD. GOTTA GET RID OF THE PARENTHESIS NOT JUST DO WHATS INSIDE OF IT. YES CAPS LOCK. (actual accident but im not backspacing)

 

[frostythepoptart]

Originally Posted by FullMetal

Originally Posted by frostythepoptart

the parenthesis doesn't magically disappear after adding. (9+3) (7+2)
(12)(9)
Otherwise %!$ is left in the equation just a 12 and a 9 with no sign or anything to do with it?

48/2(9+3)

48/2(12)

Parenthesis is still there and will always be there until you take action to get rid of it by multiplying

48/24

2 jesus.

Yeah okay but in 48/2(12) division comes before multiplication. 

PARENTHESIS FIRST HOW IS IT SO HARD. GOTTA GET RID OF THE PARENTHESIS NOT JUST DO WHATS INSIDE OF IT. YES CAPS LOCK. (actual accident but im not backspacing)

 

[everydaykicks]

Serious math problem is serious..

 

[everydaykicks]

Serious math problem is serious..

 

[airmaxpenny1]

Y'all some remedial, child left behind !#+ dudes

 

[airmaxpenny1]

Y'all some remedial, child left behind !#+ dudes