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8÷2(2+2)=

BHC Vic

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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.
There’s still a number inside!! Lol you have to get rid of the () first. I don’t make the rules :p
 

Racey

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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

4 inside parenthesis is meaningless, it's just the number 4 itself. 4 x 4 is the same thing as 4(4). There is no operation done INSIDE those parenthesis.

8÷2 (4) is the same exact thing as 8÷2 x 4. There is no distinction. You are using a false pretext of the rules if you think that (4) means it has to come first.

The operation is already done, it's fully simplified inside the (), they can be removed at the point you have simplified 2+2 to 4.
 

BHC Vic

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Once there is no number in front of the () you can move on
 

BHC Vic

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Just like in the video YOU posted if the parenthesis are still there is can just go left to right
 

Dirtbag

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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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NO WAFFLES!!!!!! Pemdas says Parenthesis come first!!!!!!! Not left to right. So please by your own words do the parenthesis first!
 

BHC Vic

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In this way the () never went away so we went out of order.
image.jpg
 

BHC Vic

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The number inside the parentheses gets handled before the division on the left to make them go away
 

Racey

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Just like in the video YOU posted if the parenthesis are still there is can just go left to right

Go back and watch the video very carefully, at exactly 3:24 when he processes 7+9 in the parenthesis, how come he doesn't write (16) as the answer, but rather just 16.

Because the parenthesis have been simplified out of the equation, they no longer exist as an operator.

Go back and watch, you might learn something that will be important one day.

 

BHC Vic

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And it’s all because there’s a number to distribute to the parenthesis... this is what happens when no one is ready I should already be on the water :confused:
 

Dirtbag

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yall cant make the parenthesis disappear unless YOU rewrite the equation!

8÷2*(2+2) =16
8÷2(2+2) = 1

Stop removing my parenthesis cause you dont like them!
 

BHC Vic

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Go back and watch the video very carefully, at exactly 3:24 when he processes 7+9 in the parenthesis, how come he doesn't write (16) as the answer, but rather just 16.

Because the parenthesis have been simplified out of the equation, they no longer exist as an operator.

Go back and watch, you might learn something that will be important one day.
Because there’s a symbol in front and not a number to distibute. It’s very simple :)
 

Racey

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And it’s all because there’s a number to distribute to the parenthesis... this is what happens when no one is ready I should already be on the water :confused:

If you try to distribute the 2 to the (4), that would be like trying to tap a part before you drilled the hole for the tap. :p
 

BHC Vic

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yall cant make the parenthesis disappear unless YOU rewrite the equation!

8÷2*(2+2) =16
8÷2(2+2) = 1

Stop removing my parenthesis cause you dont like them!
THANK YOU!!!
 

Waffles

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NO WAFFLES!!!!!! Pemdas says Parenthesis come first!!!!!!! Not left to right. So please by your own words do the parenthesis first!
See:



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.



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Racey

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Because there’s a symbol in front and not a number to distibute. It’s very simple :)

Dude, if you aren't trolling at this point then i'm sorry for you.

The symbol is implied. If you choose to do math this way you will get many wrong answers and make many mistakes in the future.
 

BHC Vic

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You have to... because the () just like dirtbag said. You can’t just lose them because you want to
 

BHC Vic

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I know how smart you are so I feel sorry for you :)
 

Racey

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yall cant make the parenthesis disappear unless YOU rewrite the equation!

8÷2*(2+2) =16
8÷2(2+2) = 1

Stop removing my parenthesis cause you dont like them!

This is completely incorrect.


8÷2(2+2) = 8÷2*(2+2)

the * is just a formatting change in the way the equation is written, it has absolutely no bearing on the operations.
 

BHC Vic

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Why does a scientific graphing calculator say one? Is it wrong? Lol
 

Racey

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Why does a scientific graphing calculator say one? Is it wrong? Lol

https://math.stackexchange.com/questions/33215/what-is-48÷293

There is absolutely zero difference between implicit and explicit use of multiplication in order of operations aka

4(4) doesn't take priority over 4*4 or 4*(4) in order of operations.

The P in PEMDAS only applies to that which sits INSIDE the Parenthesis.

Coefficients of numbers inside parenthesis do not take special priority over any other multiplication.

So if we are to take this original equation AS IT IS WRITTEN. the answer is 16.

If we wish to format it some other way, then it is no longer the original equation.
 
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BHC Vic

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Stupid calculator waffles get your money back
BAE7060B-03BB-4409-BB14-D01D51E36C7C.png
you are going to be wrong a lot in the future using that thing :p
 

BHC Vic

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Just because it’s written poorly doesn’t mean I’m going to do it wrong... calculator agrees :cool:
 

Waffles

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Vic you should be well versed with fractions on a tape measure.

Lets treat it as a fraction... whats the answer?

fraction.JPG
 

BHC Vic

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That’s an improper fraction. Not a division. It’s different but I like what you did there. You combined 2 numbers to make an improper fraction. Taking away the whole
Number to distribute. If it were written like this 1 would absolutely be wrong. But since it’s not...
 

BHC Vic

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Scientific calculator says 1. Honestly that’s all I need to know.
 

Racey

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That’s an improper fraction. Not a division. It’s different but I like what you did there. You combined 2 numbers to make an improper fraction. Taking away the whole
Number to distribute. If it were written like this 1 would absolutely be wrong. But since it’s not...

That is literally exactly what the division ➗ sign means. The dot represents the number before as on top, and after below.
 

530RL

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Think of this as Algebra not mathematical addition and subtraction.

As originally and poorly written.

A÷B(X+Y)

which becomes..... A÷BX+BY

Because the B is associated with both the X and the Y by the parenthesis and distributed to both the X and Y.

Now modify the equation to A÷(B(X+Y))

Which becomes A÷(BX+BY)

Now modify the equation to how Waffles did above which is (A÷B)(X+Y)

Now if you plug in A=8, B=2, X=2 and Y=2 you get three distinct answers.

And with this exercise, we can now see why the 737MAX may have a software bug or two...........

:)
 
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BHC Vic

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Think of this as Algebra not mathematical addition and subtraction.

As originally and poorly written.

A÷B(X+Y)

which becomes..... A÷BX+BY

Because the B is associated with both the X and the Y by the parenthesis and distributed to both the X and Y.

Now modify the equation to A÷(B(X+Y))

Which becomes A÷(BX+BY)

Now modify the equation to how Waffles did above which is (A÷B)(X+Y)

Now if you pug is A=8, B=2, X=2 and Y=2 you get three distinct answers.

And with this exercise, we can now see why the 737MAX may have a software bug or two...........

:)
You can do all kinds of things to modify it and change it. But my brain, like the calculator followed what we are taught. I took algebra 2 as a freshman. I’m dumb at shit but for some reason I liked math class. I enjoy this thread, like I said I don’t mind being wrong but I really don’t think I am. And the calc is the only proof I need :)
 

Waffles

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Think of this as Algebra not mathematical addition and subtraction.

As originally and poorly written.

A÷B(X+Y)

which becomes..... A÷BX+BY

Because the B is associated with both the X and the Y by the parenthesis and distributed to both the X and Y.

Now modify the equation to A÷(B(X+Y))

Which becomes A÷(BX+BY)

Now modify the equation to how Waffles did above which is (A÷B)(X+Y)

Now if you pug is A=8, B=2, X=2 and Y=2 you get three distinct answers.

And with this exercise, we can now see why the 737MAX may have a software bug or two...........

:)
I wouldn't place the blame on 737s crashing due to glitches or bugs in the aoa sensor. I'd place the blame on boeing for letting a sociopath only put 1 aoa sensor on that thing lol

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WhatExit?

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8÷2(2+2) = 8÷2*(2+2)

the * is just a formatting change in the way the equation is written, it has absolutely no bearing on the operations.

As noted in post #(4*2) or ((8*8)/8) or ((4^2)/2), etc.:

Screen Shot 2019-08-02 at 12.10.24 PM.png
 

530RL

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You can do all kinds of things to modify it and change it. But my brain, like the calculator followed what we are taught. I took algebra 2 as a freshman. I’m dumb at shit but for some reason I liked math class. I enjoy this thread, like I said I don’t mind being wrong but I really don’t think I am. And the calc is the only proof I need :)


My dad sent me that.

He is 81, has a Phd in Math and Physics and was literally a "rocket scientist" on the Apollo program in the US Army.

His basic answer was that depending upon what application you were plugging that formula into, you could get the answers 1, 6 or 16 all having a reasonable basis for use.

In other words, it is sloppy work product without an explanation of where and how one is using the formula and he bets the whole internet debate came up because someone used it for his/hers orals in part of their doctoral thesis.

His scribbles on the bar napkins last night. :)

WxUC6vz0R3mjpvSLU7h56A.jpg
 
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BHC Vic

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My dad sent me that.

He is 81, has a Phd in Math and Physics and was literally a "rocket scientist" on the Apollo program in the US Army.

His basic answer was that depending upon what application you were plugging that formula into, you could get the answers 1, 6 or 16 all having a reasonable basis for use.

In other words, it is sloppy work product without an explanation of where and how one is using the formula and he bets the whole internet debate came up because someone used it for his/hers orals in part of their doctoral thesis.
The whole () thing reminds me of my apprentices that’s why it makes me laugh. Example
image.jpg
I like math because of rules like that. For an even number you split the whole in half, for the fraction, the top stays the same the bottom always doubles. For me if I’m laying out openings and the prints give me a center. I need to mark center spilt it in half and go that distance each way. That’s how I use math now. I don’t really do algebra anymore. But math is still “fun” to me

And my scribble is on my kids coloring table :p
 

Waffles

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The whole () thing reminds me of my apprentices that’s why it makes me laugh. Example View attachment 782442 I like math because of rules like that. For an even number you split the whole in half, for the fraction, the top stays the same the bottom always doubles. For me if I’m laying out openings and the prints give me a center. I need to mark center spilt it in half and go that distance each way. That’s how I use math now. I don’t really do algebra anymore. But math is still “fun” to me

And my scribble is on my kids coloring table :p
What in tarnation..... Your explanation made no sense to me. You added all these extra steps and rules for nothing lol This is how I did it

cameringo_20190802_125103.jpg


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stephenkatsea

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The greatest mathematicians in the world totally agree there is more than one correct answer. They Agree? WTF - That just doesn't fit well here on RDP. Lol
 

BHC Vic

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With the rule there is no math. For odds take one from the whole. Go to the fraction add the top and bottom, bottom doubles

For even split the whole in half go to fraction top stays the same
Bottom doubles. My point is it’s awesome to know the rule but you should know the reason it works.

The rule works great in the field because I can Do it in my head. Start scaring people if you got a bunch of math written on the floor or drywall :p
 

BHC Vic

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Like laying out walls with degrees... why 57 5/16??? I know why :)
 

BHC Vic

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Why is pi 3.14...
Those 3 things stay on my white board they never get erased
 

BHC Vic

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I should probably take the time to do it neat one day. Or have one of our sisters write it for me.
D2F6919B-7806-43B5-9205-B3E6BD6159D2.jpeg
 
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