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Calling all math gurus.....

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8shots View Drop Down
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    Posted: November/14/2018 at 00:18
The question doing the rounds:

6 divided by 2(1+2) = 9 or 1???( I cannot find the divide symbol on the pute)

 I get 9 but my brother is adamant it is 1. Despite the rules of equations as I know them I cannot convince him otherwise. Or am I wrong??
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Post Options Post Options   Thanks (0) Thanks(0)   Quote supertool73 Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 01:04
If you follow order of operations. You start with parenthesis. So (1+2) is 3. That leaves you 6/2(3) Now they all have the same precedence so its just left to right. 6/2 is 3 and then 3*3 is 9. So i say you are correct.

But if you take the 2*3 you would get 1. Seens like a trick question depending on who u ask
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Dogger Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 04:09
Doesn't multiplication take precedence over division?
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Kickboxer Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 04:57

 PEMDAS = Parentheses, exponents, Multiplication and Division (same level, left to right) and Addition and Subtraction (same level left to right)... so:

6/2*(1+2)= 6/2*3 (the parentheses disappear) = (using the rule above) 3*3= 9

 

there is no precedence in the operations of multiplication/division or addition/subtraction other than left to right order (unless, of course, inside parentheses)

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Post Options Post Options   Thanks (0) Thanks(0)   Quote 8shots Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 07:36
Googling a bit I have come across the matter of "binding: So 6/2(1+2) can be solved as 
6/ (2(2+1))
6/(2*3)
6/6=1
Apparently the ( ) binds the 2 to the 1+2 , so that multiplication becomes stronger then the BOMDA rule.

If it was written as 6/2*(1+2) the BOMDA rule would give 9.

It appears as though there is not just one answer. Only if the rules of interpreting the equation is agreed upon can it be solved with only 1 answer.

Mathematicians apparently favour 1 as the answer.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote BeltFed Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 09:04
Looks like 9 the way I learned math.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Son of Ed Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 18:04
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Son of Ed Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 18:05
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Son of Ed Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 18:07

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Post Options Post Options   Thanks (0) Thanks(0)   Quote Son of Ed Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 18:12
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Edited by Son of Ed - November/15/2018 at 18:53
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Son of Ed Quote  Post ReplyReply Direct Link To This Post Posted: November/14/2018 at 18:41

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Edited by Son of Ed - November/15/2018 at 18:53
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Kickboxer Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 05:05
Originally posted by 8shots 8shots wrote:

Googling a bit I have come across the matter of "binding: So 6/2(1+2) can be solved as 
6/ (2(2+1))
6/(2*3)
6/6=1
Apparently the ( ) binds the 2 to the 1+2 , so that multiplication becomes stronger then the BOMDA rule.

If it was written as 6/2*(1+2) the BOMDA rule would give 9.

It appears as though there is not just one answer. Only if the rules of interpreting the equation is agreed upon can it be solved with only 1 answer.

Mathematicians apparently favour 1 as the answer.

Applying the distributive rule (which is the appropriate approach), you get:

6/2(1+2) = 6/(2 + 4) = 6/6=1

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Post Options Post Options   Thanks (0) Thanks(0)   Quote Dogger Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 07:18
"Unless of course you're trying to calculate the equation in Ed's alternate universe in which case no rules of logic apply"



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Post Options Post Options   Thanks (0) Thanks(0)   Quote tahqua Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 07:34
Very basic programming  =6/(2*(1+2)).............voila 1
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Post Options Post Options   Thanks (0) Thanks(0)   Quote 8shots Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 07:45

Thanks...my brother and I are no longer on speaking terms....all because of a 1 or a 9!!!
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Post Options Post Options   Thanks (0) Thanks(0)   Quote supertool73 Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 10:45
Again it is a trick question designed to cause disagreements.  In your case to destroy brotherly love.  Embarrassed
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Post Options Post Options   Thanks (0) Thanks(0)   Quote mike650 Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 11:15

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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sparky Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 14:16
If the problem was stated 6 divided by 2(1+2) =. It is 1 since the 2(1+3) is treated as a quantity.

If it was stated as 6/2*(1+2)=. It is 9 since operations within the parentheses are performed first then the / * operations are performed left to right.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote tahqua Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 14:34
Sparky, drop it in Excel or Fortran
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Post Options Post Options   Thanks (0) Thanks(0)   Quote mike650 Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 15:02
Originally posted by Sparky Sparky wrote:

If the problem was stated 6 divided by 2(1+2) =. It is 1 since the 2(1+3) is treated as a quantity.

If it was stated as 6/2*(1+2)=. It is 9 since operations within the parentheses are performed first then the / * operations are performed left to right.


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Post Options Post Options   Thanks (0) Thanks(0)   Quote tahqua Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 15:04
Right

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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sparky Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 15:20
It depends on how the problem is entered as to what answer you get. If entered 6/2*(1+2)= on a scientific calculator it is 9.




Edited by Sparky - November/15/2018 at 15:32
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sparky Quote  Post ReplyReply Direct Link To This Post Posted: November/15/2018 at 15:22
Originally posted by tahqua tahqua wrote:

Right

You entered a second set of parenthesis that are not in the original problem. This changes things. See my explanation of the two.
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