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New Math vs. Old Math
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Aug 12, 2021 15:16:54   #
MrBob Loc: lookout Mtn. NE Alabama
 
8
-------
2(2+2) Is this not 1

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Aug 12, 2021 15:21:17   #
luvmypets Loc: Born & raised Texan living in Fayetteville NC
 
If you've never seen the method of finding the answer using the "new math" go to YouTube and watch a video. I couldn't believe the stupidity of it and couldn't watch the entire video because it was driving me crazy and making me angry. I can't imagine using this method to figure out the interest for a car payment or mortgage. Imagine using this method to launch a rocket to Mars.

There was nothing wrong with the old math. It terrifies me to think what this world will be like in 40 or 50 years if this type of low standard learning is allowed to continue.

Dodie

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Aug 12, 2021 15:23:29   #
OhD Loc: West Richland, WA
 
OhD wrote:
1


I stand corrected. Per PEMDAS it's 16

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Aug 12, 2021 15:25:02   #
luvmypets Loc: Born & raised Texan living in Fayetteville NC
 
MrBob wrote:
8
-------
2(2+2) Is this not 1


That can't be the correct answer as you wrote the original formula

8/2(2+2)= 8 divided by 2 times (2 plus 2) equals

8 divided by 2 = 4
2 plus 2 = 4
4 times 4 = 16

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Aug 12, 2021 15:30:49   #
MrBob Loc: lookout Mtn. NE Alabama
 
luvmypets wrote:
That can't be the correct answer as you wrote the original formula

8/2(2+2)= 8 divided by 2 times (2 plus 2) equals

8 divided by 2 = 4
2+2 = 4
4 times 4 = 16


PEMDAS says the denominator is 8. get rid of parenthesis first.

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Aug 12, 2021 15:37:13   #
Ollieboy
 
If my algebra learnings are still there I would say 16

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Aug 12, 2021 15:39:52   #
pquiggle Loc: Monterey Bay California
 
MrBob wrote:
That was one of my points.... Modern calculators don't necessarily follow PEMDAS... One has to KNOW the rules under which you are operating. Using PEMDAS, 1 is the correct answer... the other answer is 16.


The correct answer is 16. PEMDAS is not exactly the correct rule. A better way to write it is PE(MD)(AS). Multiplication and division are equals and must be performed in the order written (left to right) the same is true of addition and subtraction. Typed, as written in the original post, into Excel or any scientific calculator will give an answer of 16.

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Aug 12, 2021 15:52:18   #
MrBob Loc: lookout Mtn. NE Alabama
 
That equation written in fraction form is 8 divided by 2(2+2). How can 2(2+2) = 1/2 which would be needed to get an answer of 16 ? NOT logical. 2(2+2)=8 anyway you look at it.

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Aug 12, 2021 15:59:10   #
MrBob Loc: lookout Mtn. NE Alabama
 
Ok, obviously we are going nowhere fast so I will tell you after going to the SOLUTION answer it DEPENDS on the rules of engagement. Straight line calculator gives 16. PEMDAS which we ALL learned for Eons before calculators gives 1. Lesson learned, DO NOT ASSUME ANYTHING. Go by the accepted rules.

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Aug 12, 2021 16:01:01   #
pquiggle Loc: Monterey Bay California
 
MrBob wrote:
That equation written in fraction form is 8 divided by 2(2+2). How can 2(2+2) = 1/2 which would be needed to get an answer of 16 ? NOT logical. 2(2+2)=8 anyway you look at it.


To write it in what you called "fraction form" you would need to write it as 8/(2(2+2)) in which case the answer is 1.

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Aug 12, 2021 16:09:37   #
MrBob Loc: lookout Mtn. NE Alabama
 
pquiggle wrote:
To write it in what you called "fraction form" you would need to write it as 8/(2(2+2)) in which case the answer is 1.


Gee, that is what I explained 2 replies above yours.... Are you now saying writing in fraction form is invalid ? The entire point is you have to play by the rules in play... If you do straight line calculator button pushing you are NOT using PEMDAS and the answer of 16 is invalid.

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Aug 12, 2021 16:16:54   #
pquiggle Loc: Monterey Bay California
 
MrBob wrote:
Gee, that is what I explained 2 replies above yours.... Are you now saying writing in fraction form is invalid ? The entire point is you have to play by the rules in play... If you do straight line calculator button pushing you are NOT using PEMDAS and the answer of 16 is invalid.


Multiplication before division is not the correct order of operations. Multiplication and division are to be done after exponentiation in the order they are written from left to right. and before addition and subtraction. It is PEMDAS that is invalid.

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Aug 12, 2021 16:47:23   #
Longshadow Loc: Audubon, PA, United States
 
MrBob wrote:
That was one of my points.... Modern calculators don't necessarily follow PEMDAS... One has to KNOW the rules under which you are operating. Using PEMDAS, 1 is the correct answer... the other answer is 16.


Yes, one DOES have to know how to transcribe it to a particular calculator!

If it was written as a fraction, as in 8 over the quantity 2(2+2) then the in line formula would be 8/(2*(2+2)).
(the 2* is implied)

Since it was not written as a fraction in that form, it would be
8/2(2+2)
Multiplication is implied:
8/2*(2+2)

Parens done first yields:
8/2*4

Multiplication & division are done before addition & subtraction, IN THE ORDER THAT THEY APPEAR.
8/2=4

4*4=16


Plug "=8/2(2+2)" in an Excel cell and see what it come up with.
Addendum-
I tried plugging it into my phone, it came up with 16 also.....
And the calculator in my phone knew the implied multiplication of 2( is 2*(.

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Aug 12, 2021 16:48:12   #
Longshadow Loc: Audubon, PA, United States
 
pquiggle wrote:
Multiplication before division is not the correct order of operations. Multiplication and division are to be done after exponentiation in the order they are written from left to right. and before addition and subtraction. It is PEMDAS that is invalid.


Or, the interpretation of PEMDAS is invalid.......

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Aug 12, 2021 17:37:51   #
Vince68 Loc: Wappingers Falls, NY
 
MrBob wrote:
We seem to have a lot of Old Timers around these parts so I would expect PEMDAS to prevail... Very simple equation that everyone seems to disagree on.... I know the REAL answer but I am not a spoiler. Can we get it in 1 page ? 8/2(2+2)= ?


I'm not as old as most here it seems (turned 70 this past January) this is how its done following PEMDAS. The answer would be 8/2(2+2) = 4(2+2) = 4(4) = 16

Even though Multiplication comes before Division in PEMDAS, both operations have the same priority, but you complete them going from the left to the right. In this example, you would divide first 8/2 to get 4, then do the multiplication, and the answer is 16.

Here's an explanation of the rules given in PEMDAS:

1. P as the first letter means you complete any calculations in grouping symbols first.

2. Next, look for exponents, E. Ignore any other operation, and take any numbers with exponents to their respective powers.

3. Even though M for multiplication in PEMDAS comes before D for division, these two operations actually have the same priority. Complete only those two operations in the order they occur from left to right.

4. Even though A for addition is in PEMDAS before S for subtraction, these two operations also have the same priority. You look for these last two operations from left to right and complete them in that order.

Source: https://study.com/academy/lesson/what-is-pemdas-definition-rule-examples.html

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