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8÷2(2+2)

Started by DbDraad15 REPLIES854 VIEWS· 01 Aug 2019, 18:08
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DB
DbDraadCaptain26,388 posts
01 Aug 2019, 18:08
#1
01 Aug 2019, 18:08#1

What is the correct answer? 

MO
MoonroverPro1,973 posts
01 Aug 2019, 19:07
#2
01 Aug 2019, 19:07#2

The easy answer says 16 which it possibly isn't.

SH
sharkbokCaptain23,209 posts
01 Aug 2019, 19:43
#3
01 Aug 2019, 19:43#3

Whatever is inside () is completed first within a maths equation. 

so:      (2+2) = 4

8/2 = 4  (16)


4(4) = ?

I am not sure this part is mathematical. In the first instance, you did not have an equal sign

In the 2nd instance, what is a number()? Is it to the power, multiplied or divided? 

Is it a comparison operator? 



RO
RooinekCaptain18,117 posts
01 Aug 2019, 20:04
#4
01 Aug 2019, 20:04#4
The answer is 1
DB
DbDraadCaptain26,388 posts
01 Aug 2019, 21:32
#5
01 Aug 2019, 21:32#5

I thought it was 1 too Rooi, but apparently the correct answer is 16.

It's the same as 8/2×4...and not 8/(2×4)...deliberate confusing way of writing it...or so I've heard...wonder what the "mathematician" will have to say.

RO
RooinekCaptain18,117 posts
02 Aug 2019, 11:10
#6
02 Aug 2019, 11:10#6
Actually I'm going to change my answer to 16.
It's all about the Order of Operations. The reason there is so much debate over this is because of the difference between the American and UK mnemonics PEMDAS and BIDMAS. I was taught PEMDAS.
I used to think that PEMDAS stood for Parentheses, Exponents, Multiplication, Divison, Addition, Subtraction while BIDMAS (or BODMAS) stood for Brackets, Indices (Order for BODMAS), Division, Multiplication, Addition, Subtraction.
Now if you take that order literally then using PEMDAS you'll perform the multiplication before the division in this example while if you're using BIDMAS you'll perform the division first and get a different answer.
The fact is, I was mistaken about the order and the reason I've changed my answer is because on further research, PEMDAS actually stands for Parentheses, Exponents, Multiplication/Divison, Addition/Subtraction while BIDMAS stands for Brackets, Indices, Division/Multiplication, Addition/Subtraction.
Note the small but important difference. Neither mnemonic is actually saying that divison comes before multiplication or vice versa, but both are saying that division and/or multiplication comes before addition and/or subtraction. One mnemonic has the "M" before the "D" and the other has the "D" before the "M" but they're actually the same thing . . . division and multiplication operations must occur before addition and subtraction commands.
Where there are both division and multiplication operations in an equation, they are performed from left to right.
Using the strict order PEMDAS:8/2(2+2)=8/2(4) (Parentheses first)=8/8 (Multiplication before division)=1
Using the strict order BIDMAS:8/2(2+2)=8/2(4) (Brackets first)=4(4) (Divison before multiplication)=16
The correct answer:8/2(2+2)=8/2(4) (Brackets or parentheses first)=4(4) (Applying the remaining divison and multiplication operations from left to right)=16



DB
DbDraadCaptain26,388 posts
02 Aug 2019, 11:33
#7
02 Aug 2019, 11:33#7

Indeed...but it was a trick question.

RO
RooinekCaptain18,117 posts
02 Aug 2019, 11:38
#8
02 Aug 2019, 11:38#8
It's not a trick question at all.
My post above was an attempt to explain why people are arguing about this but if you apply the Order of Operations correctly there's only one correct answer. No tricks.
MO
MoonroverPro1,973 posts
02 Aug 2019, 12:13
#9
02 Aug 2019, 12:13#9

It's not as tough as seems:-

DB
DbDraadCaptain26,388 posts
02 Aug 2019, 12:44
#10
02 Aug 2019, 12:44#10

The trick lies in the fact that you posted an explanation and the fact that you got it wrong the first time....no biggie. It's an odd way of writing it.

DB
DbDraadCaptain26,388 posts
02 Aug 2019, 14:03
#11
02 Aug 2019, 14:03#11

The plot thickens:

"let A=8, B=2, C=2, D=2

A ÷ B(C + D) (draad says it can also be (A/BC+A/BD)

A ÷ (BC + BD)

plug in the numbers...

8 ÷ (2*2 + 2*2)

8 ÷ (4 + 4)

8 ÷ 8 = 1

And some say in physics the implied multiplier should be seen as part of the parentheses....

FL
FlashdakotaClub Pro800 posts
02 Aug 2019, 20:49
#12
02 Aug 2019, 20:49#12
The answer is 1. I bet if there are any developers out there, if they make that a server side equation, they’d agree with me.
MO
MoonroverPro1,973 posts
02 Aug 2019, 21:09
#13
02 Aug 2019, 21:09#13

X=1 and y=1 for any interested.

SH
sharkbokCaptain23,209 posts
02 Aug 2019, 21:58
#14
02 Aug 2019, 21:58#14
I agree with Flash. The answer is 1. 
4(4) = 1  is the most likely answer- (at least for computer programming).For standard Maths, it is 16. 
I think that the question has just been poorly written which has caused the confusion. 
For programing- 4 == 4, or 4/4 = 1  - and therefore 1 is true. It is a comparison operator, and what is inside the () is the argument. 

DB
DbDraadCaptain26,388 posts
02 Aug 2019, 23:17
#15
02 Aug 2019, 23:17#15

8/2x  ...where x=4?

Yes Shark, there are much better ways to write the question...in the end it comes down to perspective and interpretation...the reason for lawyers!

DB
DbDraadCaptain26,388 posts
04 Jul 2020, 10:51
#16
04 Jul 2020, 10:51#16

Ping Moz, 1st Peeper answer or the second one?

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