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8÷2(2+2)=

Big B Hova

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Yep it's an ambiguous equation, but following PEMDAS it's 16 M/D are left to right and it's Multiplication OR Division as you come across them from left to right.

8÷2(2+2)= 8÷2(4) = 4(4) = 16

Equations should not be written in ambiguous manners, If they wanted to write as 8 divided by (all this other stuff) it would look like this:

___8__
2 (2+2)


In which case you get 8/8
Isn't the the 4(4) first? Brackets and multiplications of brackets is always first?
 

Wayn-o

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I just plugged that into an excel spreadsheet while sitting listening to people in S. Korea talk about Quartz Production. (It's pretty boring)

Excel would not accept 8/2(2+2).

It suggested +8/2*(2+2)

It put in the multiplication sign to clarify the formula and result in 16.

Interesting.
I got 16 as well
 

Racey

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THIS is the correct answer!!!

Nobody fucking cares. :p

The guys that did the long way calculus to figure out cam profiles and valve lift, or put men on the moon gave a fuck. :p
 

Waffles

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When we built the Marriott I was living there with my buddy. We had a ton of fun.
The ol lady lived in The Orsini complex off sunset and the 110 for a while. As fun as it was hanging out with her coked out rich friends, it was such a waste lol. The luxury of not having to worry about money.
Most aren't even working in the shit they majored in right now. My girl being one of them. She got her foot in the cosmetology door and that's what she wants to do now lol.

Microblading
Vegan spray tans
Teeth whitening

Smh

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530RL

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How about the answer is 6

Try this.

Look at the original equation and substitute for the 2 and the 2, X and Y.

The equation is then 8÷2(X+Y) which yields 8÷2X+2Y.

Given we know X is 2 and Y is 2, we get 8 divided by 4 plus 4 which is 6.



:)
 
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BHC Vic

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I still can’t believe we have so many common corers in here.
 

yz450mm

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42, of course.

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C-2

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I still can’t believe we have so many common corers in here.

As your kids get older, you will be forced into submission when they bring their homework home.

But, I believe some schools are finally trending away from common core.
 

BHC Vic

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To me, it's simply answer the equation as presented. If it was on a test you would not have the luxury of asserting the equation is ambiguous.

1 for the win!
If it’s algebra it’s 1... common core it’s 16. Ironic how many guys bash common core yet that’s their method of choice. I really want to dig out my ti85 and try on that but I’m in bhc and that’s in Phillips Ranch
 

Waffles

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My sisters ti85 and my fx115 both show 1

My phone calculator and my ladies iPad calculator both show 16

cameringo_20190802_074948.jpg
IMG_20190801_112043.jpg


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BHC Vic

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I get 8 divided by 8

8 divided by 2+2 x 4
Which is 8/8 not 4 fourths
 

BHC Vic

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Inside the () first
Then distribute the 2.
Then you’re dividing 8 by what you get
 

Waffles

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Inside the () first
Then distribute the 2.
Then you’re dividing 8 by what you get
That's what you're doing wrong.
Youre distributing numbers that aren't yours to others like a socialist.
Socialism doesn't and will never work which, in turn, is why your answer is wrong.

/thread

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BHC Vic

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That's what you're doing wrong.
Youre distributing numbers that aren't yours to others like a socialist.
Socialism doesn't and will never work which, in turn, is why your answer is wrong.

/thread

if the ti85 says one then I’m now certain it’s 1 :) where’s @Yellow-boat
 

Moneypit

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I glanced at it and got 16.. Then I kinda looked again, and got 16.. I always liked math because unlike "English", math was pretty much cut and dried.. Then I started to scroll down this thread, was reminded of the "Plane on a Treadmill" thread, then my head started to hurt and I decided to go lay down for awhile.. It's already to hot to do anything outside anyway...

My rudimentary pencil scratchings got me through many machine shops turning handles, then modern CNC stuff took away the necessity to "scratch out" anything.. Those new keyboards will do just about anything except shine your shoes and suck your...Well you know...
 

BHC Vic

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That's what you're doing wrong.
Youre distributing numbers that aren't yours to others like a socialist.
Socialism doesn't and will never work which, in turn, is why your answer is wrong.

/thread

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Also then you can’t distribute the 4 to the (4) to get 16 either :D
 

530RL

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Also then you can’t distribute the 4 to the (4) to get 16 either :D


Ignore the numbers in the Parenthesis, assume you have no idea what value is represented by X and Y and solve this equation as you would in Algebra class.

8÷2(X+Y)
 

BHC Vic

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Ignore the numbers in the Parenthesis, assume you have no idea what value is represented by X and Y and solve this equation as you would in Algebra class.

8÷2(X+Y)
X=y
Which in this equation is 2
 

530RL

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X=y
Which in this equation is 2


Assume you have no idea what X and Y is like in most algebra equations. Just solve the equation down to its lowest expression by removing the parenthesis.

8÷2(X+Y) becomes what if you solved it?

Or more simply, solve the following down to its lowest expression. 6(X+Y).
 

BHC Vic

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X=y I just feel like I’m losing a negative somewhere. I don’t have a pen or paper but innmy head I’m getting x=y
 

530RL

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X=y I just feel like I’m losing a negative somewhere. I don’t have a pen or paper but innmy head I’m getting x=y


Would you agree with this?


when solving

6(X+Y)

it becomes

6X + 6Y
 

Racey

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Inside the () first
Then distribute the 2.
Then you’re dividing 8 by what you get

The problem with that is that you are distributing out of order, you have to make the division before you distribute per the correct order of operations.

Sal Khan of Khan Academy:

at 4:00 he shows multiplication and division are on the same level, and you work left to right.


you people that get 1 need to go back to math 101 :)

khanacademy.org
 
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BHC Vic

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The problem with that is that you are distributing out of order, you have to make the division before you distribute per the correct order of operations.

Sal Khan of Khan Academy:

at 4:00 he shows multiplication and division are on the same level, and you work left to right.


you people that get 1 need to go back to math 101 :)

khanacademy.org
No you don’t...
 

BHC Vic

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The 4 is still in () so you distribute first
image.jpg
 

BHC Vic

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I know my reasoning what’s yours with the 4 in the () I don’t mind being wrong but explain
 

BHC Vic

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If the 4 wasnt in () it was just a multiplication then yes you go left to right and divide first. But it’s still in () so distribute first
 

Waffles

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Distribution is irrelevant to the answer. The distributive property is about how to multiply over a grouped sum, not about a precedence of operations. It is definitely true that:

8÷2(2+2) = 8÷2(4)

The issue is whether to do 8÷2 first or 2(4) first. PEMDAS says to go from left to right.



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Racey

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I know my reasoning what’s yours with the 4 in the () I don’t mind being wrong but explain

First there is not enough information present in an expression like 8÷2(X+Y) to make any determination as to any variable being equal to anything.
Further simplified there is not enough information in 4(x+y) to make any determination of equality between variables, it's an expression not an equation.

Secondly in response to your paper math, you are working out of order, that is why you are getting 1.

The proper order, for the equation written as 8÷2(2+2) is this:

8÷2(4) ->Parenthesis first
4(4) -> Multi/Divide L to R
16 -> Multi/Divide L to R

i don't make the rules, i just follow them.

If you don't follow a strict set of rules in Multiply Divide according to the order of operations, you will get into trouble like this thread is showing. Left to Right takes precedent as Multiply and Divide operations are of equal level, So to determine which ones to do first, as to not have disagreement, it is instructed that you start at the beginning of the equation and work each operation as it appears till you reach the end. Left to Right.

Parenthesis only have precedent as to what is inside of them, not what it touching them on the outside, that is where you are going wrong

If you have 8 ÷ 2 x 4 what is that answer?

By trying to distribute before you have divided you are working out of order.
 

BHC Vic

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() means multiplication and you do () first. That’s my argument. In the video there’s no number to distribute is a + sign. That’s why in that video the () are done. But here there’s a number that goes to the () first
 

BHC Vic

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Distribution is irrelevant to the answer. The distributive property is about how to multiply over a grouped sum, not about a precedence of operations. It is definitely true that:

8÷2(2+2) = 8÷2(4)

The issue is whether to do 8÷2 first or 2(4) first. PEMDAS says to go from left to right.



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Yes left to right but () are still done before multiplication and division. So that’s why I distribute first. Only because the ()
 

Racey

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Yes left to right but () are still done before multiplication and division. So that’s why I distribute first. Only because the ()

Only what is INSIDE of them. Period. That is your 2 + 2. Nothing else.

Your argument is based on a misunderstanding of the order of operations.
 

BHC Vic

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First there is not enough information present in an expression like 8÷2(X+Y) to make any determination as to any variable being equal to anything.
Further simplified there is not enough information in 4(x+y) to make any determination of equality between variables, it's an expression not an equation.

Secondly in response to your paper math, you are working out of order, that is why you are getting 1.

The proper order, for the equation written as 8÷2(2+2) is this:

8÷2(4) ->Parenthesis first
4(4) -> Multi/Divide L to R
16 -> Multi/Divide L to R

i don't make the rules, i just follow them.

If you don't follow a strict set of rules in Multiply Divide according to the order of operations, you will get into trouble like this thread is showing. Left to Right takes precedent as Multiply and Divide operations are of equal level, So to determine which ones to do first, as to not have disagreement, it is instructed that you start at the beginning of the equation and work each operation as it appears till you reach the end. Left to Right.

Parenthesis only have precedent as to what is inside of them, not what it touching them on the outside, that is where you are going wrong

If you have 8 ÷ 2 x 4 what is that answer?

By trying to distribute before you have divided you are working out of order.
You can say I’m wrong but if that 4 is in () you distibute first. Why would you divide before taking care of the (). You can’t... it’s out of order
 
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