Become a MacRumors Supporter for $50/year with no ads, ability to filter front page stories, and private forums.

5 + 5 + 5 - 5 + 5 + 5 - 5 + 5 x 0 = ?


  • Total voters
    264
I'm not adding a rule - I'm saying that an operation has to operate within a defined set of 'visible' parameters.

The equation couldn't be written with ambiguity - IOWs I would make it a mandatory rule to write it as such:

(5 + 5 + 5) - 5 + (5 + 5) - 5 + (5 x 0) = 15

No one here would get the wrong answer IMO. And if one's goal is to produce the correct answer then the logic makes sense.

if your premise is that some people do not know the basics rule of math such as that multiplication takes priority over addition/subtraction, than you should also assume that some do not know the role of parentheses.

and the parentheses you put there do not appear to have any stringent logical justification, except possibly the last set.
 
I'm not adding a rule - I'm saying that an operation has to operate within a defined set of 'visible' parameters.

The equation couldn't be written with ambiguity - IOWs I would make it a mandatory rule to write it as such:

(5 + 5 + 5) - 5 + (5 + 5) - 5 + (5 x 0) = 15

No one here would get the wrong answer IMO. And if one's goal is to produce the correct answer then the logic makes sense.

The equation is already without ambiguity - the rules for precedence are clear and unambiguous and if you apply them you always get the answer 15: You can't arbitrarily ignore the rules and then complain they're not clear!





^^^ Yes. With no parenthesis in the original stated equation, what keeps it from being this?

(5+5+5-5+5+5-5+5)X0= or anything else? Rules say do the parenthesis first, but where are they? Is there a rule for that when they aren't given?

Dale

PEMDAS keeps it from being that or anything else - the rules are an order of precedence and you just follow this order from left to right and apply even if some of the items are "missing":

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

or (if you prefer BODMAS)
Brackets, Orders (exponents), Division and Multiplication, Addition and Subtraction


If there are no parentheses you just move along to the next item on the list. As there's no exponent either, you carry on to the next item in the list, which is multiplication.

There is a multiplication in this equation so you do that first:

5 x 0 = 0

Now you have
5 + 5 + 5 - 5 + 5 + 5 - 5 + 0


As Addition and Subtraction have the same order of precedence you can do them in any order as long as you do them in the same step (same with multiplication and division), so you can either do

5 - 5 = 0

Then

5 + 5 + 0 + 5 + 0

or just in the order it's written, and either way you get the same answer

The rules are very clear and following them gives you the answer 15
 
Last edited:
BODMAS people, therefore the answer is 15, nothing else.

ps it's great seeing all the different acronyms for BODMAS from around the world
 
it's great seeing all the different acronyms for BODMAS from around the world

What's an acronym of BODMAS then? :D

I know what you mean, but what's the word for what you are describing... are BODMAS and PEDMAS synonyms? Can two acronyms be synonymous? My head hurts...

(You can tell I'm trying to put off revision)
 
Ah yes, another thread differentiating between those who can do simple math correctly and those who can't.

Ha! That's true admits the OP but I figured we could squeeze one in and still have room for the white versus black iPhone and when is the iP5 due threads.
 
15 I think. Most will say 0 because of the multiplication by zero but I think it goes:
5+5+5-5+5+5-5+(5*0)= and that is 15.

order of operations PEMDAS, Parenthesis, Exponent, Multiplication or Division(which ever comes first), Addition, Subtraction.
 
Yes, left to right, following BODMAS:

  • Brackets
  • Of
  • Division
  • Multiplication
  • Addition
  • Subtraction
.
Why does the acronym BODMAS miss exponents?!? Don't fight the power!

BODMAS people, therefore the answer is 15, nothing else.

ps it's great seeing all the different acronyms for BODMAS from around the world

For the record BEDMAS was taught to me:
  • Brackets
  • Exponents
  • Division
  • Multiplication
  • Addition
  • Subtraction
... and I got the right answer (15).
 
Why does the acronym BODMAS miss exponents?!? Don't fight the power!



For the record BEDMAS was taught to me:
  • Brackets
  • Exponents
  • Division
  • Multiplication
  • Addition
  • Subtraction
... and I got the right answer (15).

Aren't brackets and parenthesis seperate things? I thought [] were a higher order and were used to contain () ?

Dale
 
Yes, that's correct. At least in what I've been taught.

They can be used as replacements for each other. They are both equal. It just makes it a lot less confusing to have brackets contain parentheses, rather than parentheses contain parentheses. ;)
 
They can be used as replacements for each other. They are both equal. It just makes it a lot less confusing to have brackets contain parentheses, rather than parentheses contain parentheses. ;)

The gist of this is to work from the inside out, so I guess they can be interchanged. But then again, math isn't supposed to have any arbitrary elements...

Dale
 
Uh, zero. Ain't public education fine?!

There are few times when 'epic fail' is actually appropriate, your post is the exception.
 

Attachments

  • photo.PNG
    photo.PNG
    677.3 KB · Views: 104
I think if someone writes an equation out this way, with no parentheses, they deserve to get the wrong answer :)
 
Yes, that's correct. At least in what I've been taught.

Yes, doesn't matter if the brackets are square or not. It's just easier to visualise things when you aren't always using round brackets.


Also, anyone who didn't answer 15 either made an honest mistake when adding and subtracting 5s, or they're not that smert.
 
Aren't brackets and parenthesis seperate things? I thought [] were a higher order and were used to contain () ?

Dale

no they are equal

5+((5+6) x 5(2x3+5)) is the same as 5+[(5+6) x 5(2x3+5)] is the same as 5+([5+6] x 5[2x3+5])

it all depends on the mathematician and his/her style if you were taught that you put [] on the outside of () then that was just your teachers style, (the real reason of using () [] {} if because it makes the equation easier to read)

the reason they are all equal is because it doesn't matter at all which order you do them in as BODMAS is clear on the order of how you solve equations.
 
I think if someone writes an equation out this way, with no parentheses, they deserve to get the wrong answer :)

Maybe some people presume that a bunch of adults can do basic math. ;)


You don't need brackets/parentheses. If you don't see them, then don't assume that they're there, or that they should be there.
 
Register on MacRumors! This sidebar will go away, and you'll see fewer ads.