|
On April 09 2011 12:05 mints wrote:Show nested quote +On April 09 2011 12:00 Myles wrote:On April 09 2011 11:55 mints wrote:48÷2(9+3) =48÷2(12) =48÷24 =2 or ![[image loading]](http://imgur.com/P1NvC.gif) =2 Im still standing by the answer 2. Multiplication and division have the same order of operation, so you do whichever comes first when reading left to right. Thus you would do the parenthesis first like you did, but then do the division of 48/2 since it comes before multiplying the 2*12. No...when you add (9+3) ... its then 48÷2(12), the parenthesis does not disappear..so you would distribute the 2 then divide. Thus 48÷24=2
Distributing = multiplication (notice how you MULTIPLIED the 2 by the 12).. which, in order of operations, states that it's on the same level as division, which means you're still wrong.
|
On April 09 2011 12:04 mike1290 wrote:
I used a "÷" symbol instead of "/" not sure why that made this difference though...
It didn't. The calculator used parenthesis as precedent. However there is a way to test it by rewriting it in a different form.
48/2 * (9+3) is the same thing as 48/2(9+3)
After that try 48 *1/2 *(9+3)
Instead of using PEMDAS you can also do it with straight up multiplication to test it. If anyone has a problem with conventions then you just rewrite the problem in a way to ignore it.
|
On April 09 2011 12:08 space_yes wrote:Show nested quote +On April 09 2011 12:03 Ropid wrote:On April 09 2011 12:02 Keitzer wrote:On April 09 2011 12:00 Ferocious Falcon wrote:
Found my cheap year 5 calculator
According to it 48÷2(9+3)=2
but 48÷2*(9+3)=288 Does it not recognize the parenthesis next to a constant as multiplication and on the same level as division? if not, then it's a shitty calculator. However, it IS 5 years old, so no worries there. On the other end, if that's what people used to come up with 2, then dear god, i might just move to Argentina with my cousin. You missed this post on page 84 of this thread: On April 09 2011 05:23 MasterOfChaos wrote:At least one reputable source, namely the American Mathematical Society used high priority for omitted multiplication signs in their publications. We linearize simple formulas, using the rule that multiplication indicated by juxtaposition is carried out before division. For example, your TeX-coded display $${1\over{2\pi i}}\int_\Gamma {f(t)\over (t-z)}dt$$ ![[image loading]](http://latex.codecogs.com/gif.latex?$${1%5Cover{2%5Cpi%20i}}%5Cint_%5CGamma%20{f(t)%5Cover%20(t-z)}dt$$) is likely to be converted to $(1/2\pi i)\int_\Gamma f(t)(t-z)^{-1}dt$ ![[image loading]](http://latex.codecogs.com/gif.latex?$(1/2%5Cpi%20i)%5Cint_%5CGamma%20f(t)(t-z)^{-1}dt$) in our production process. The only problem with that as evidence is that AMS encloses the entire expression in parentheses so as to suggest a fraction which is different than the OP.
First of all, the OP is a troll. 
The parentheses in that AMS stuff is because you would otherwise possibly think, that you have to multiply the integral to 2*Pi*i and then divide 1 by all that, with their "multiplication indicated by juxtaposition is carried out before division" rule.
|
On April 09 2011 10:16 Ace wrote:
There is no ambiguity. With no parenthesis it's still clear as day what the order of evaluation is. Just because you may think or assume it could be something else doesn't mean it is.
And you are assuming notation which was NOT specified.
|
On April 09 2011 12:08 Ace wrote:Show nested quote +On April 09 2011 12:04 mike1290 wrote:
I used a "÷" symbol instead of "/" not sure why that made this difference though... It didn't. The calculator used parenthesis as precedent. However there is a way to test it by rewriting it in a different form. 48/2 * (9+3) is the same thing as 48/2(9+3) After that try 48 *1/2 *(9+3) Instead of using PEMDAS you can also do it with straight up multiplication to test it. If anyone has a problem with conventions then you just rewrite the problem in a way to ignore it.
Omfg, thank you! Someone else that agrees!
|
When I first read the first post I thought the point of the poll was to see how many people troll when they vote in polls. How did this get to 93 pages?
|
2(9+3) = (9*2+3*2)
what's the difference?
|
On April 09 2011 12:10 Gnax wrote:
When I first read the first post I thought the point of the poll was to see how many people troll when they vote in polls. How did this get to 93 pages?
Because people seem to think they can outsmart mathematical rules of multiplication.
On April 09 2011 12:11 chonkyfire wrote:
2(9+3) = (9*2+3*2)
what's the difference?
no difference... point?
|
On April 09 2011 12:09 mcc wrote:Show nested quote +On April 09 2011 10:16 Ace wrote:
There is no ambiguity. With no parenthesis it's still clear as day what the order of evaluation is. Just because you may think or assume it could be something else doesn't mean it is. And you are assuming notation which was NOT specified.
Read my last post (which I've said like 3 times already in this thread). Just rewrite the expression so it's just straight up normal multiplication. No PEMDAS, no conventions to argue about - you will get 288.
On April 09 2011 12:11 chonkyfire wrote:
2(9+3) = (9*2+3*2)
what's the difference?
I've answered this question for you before. There is no difference. But that isn't what you have in the OP. There is a binary operator that comes BEFORE the 2. You can just re-write it and distribute it, multiply whatever you want, how many ever ways you want and you'll get 288.
|
On April 09 2011 12:08 Keitzer wrote:Show nested quote +On April 09 2011 12:05 mints wrote:On April 09 2011 12:00 Myles wrote:On April 09 2011 11:55 mints wrote:48÷2(9+3) =48÷2(12) =48÷24 =2 or =2 Im still standing by the answer 2. Multiplication and division have the same order of operation, so you do whichever comes first when reading left to right. Thus you would do the parenthesis first like you did, but then do the division of 48/2 since it comes before multiplying the 2*12. No...when you add (9+3) ... its then 48÷2(12), the parenthesis does not disappear..so you would distribute the 2 then divide. Thus 48÷24=2 Distributing = multiplication (notice how you MULTIPLIED the 2 by the 12).. which, in order of operations, states that it's on the same level as division, which means you're still wrong.
Yes distribution is the same thing as multiplication no argument there..but you distribute (ie. if there is a parenthesis) before doing multiplication or division.
|
On April 09 2011 12:05 mints wrote:Show nested quote +On April 09 2011 12:00 Myles wrote:On April 09 2011 11:55 mints wrote:48÷2(9+3) =48÷2(12) =48÷24 =2 or =2 Im still standing by the answer 2. Multiplication and division have the same order of operation, so you do whichever comes first when reading left to right. Thus you would do the parenthesis first like you did, but then do the division of 48/2 since it comes before multiplying the 2*12. No...when you add (9+3) ... its then 48÷2(12), the parenthesis does not disappear..so you would distribute the 2 then divide. Thus 48÷24=2
Yes, it does. (12)=12. You are still "distributing" the 2 out of order. You can't apply the operations unless it's in the bracket. The 2 and 48 are both outside the bracket. Distribution isn't an operation and it doesn't take precedence over everything.
|
On April 09 2011 12:11 Keitzer wrote:
no difference... point?
my point is 2(9+3) = (2*9+2*3)
|
United States5162 Posts
On April 09 2011 12:05 mints wrote:Show nested quote +On April 09 2011 12:00 Myles wrote:On April 09 2011 11:55 mints wrote:48÷2(9+3) =48÷2(12) =48÷24 =2 or =2 Im still standing by the answer 2. Multiplication and division have the same order of operation, so you do whichever comes first when reading left to right. Thus you would do the parenthesis first like you did, but then do the division of 48/2 since it comes before multiplying the 2*12. No...when you add (9+3) ... its then 48÷2(12), the parenthesis does not disappear..so you would distribute the 2 then divide. Thus 48÷24=2
In this case you're not really distributing anything since 2(12) is equivalent to 2*12, making the whole thing go to 48÷2*12, in which you follow left to right since neither operation takes precedence.
If you wanted to distribute you would do it from the start before evaluating the parenthesis. It would be (48/2)*9+(48/2)*3
|
On April 09 2011 12:13 mints wrote:Show nested quote +On April 09 2011 12:08 Keitzer wrote:On April 09 2011 12:05 mints wrote:On April 09 2011 12:00 Myles wrote:On April 09 2011 11:55 mints wrote:48÷2(9+3) =48÷2(12) =48÷24 =2 or =2 Im still standing by the answer 2. Multiplication and division have the same order of operation, so you do whichever comes first when reading left to right. Thus you would do the parenthesis first like you did, but then do the division of 48/2 since it comes before multiplying the 2*12. No...when you add (9+3) ... its then 48÷2(12), the parenthesis does not disappear..so you would distribute the 2 then divide. Thus 48÷24=2 Distributing = multiplication (notice how you MULTIPLIED the 2 by the 12).. which, in order of operations, states that it's on the same level as division, which means you're still wrong. Yes distribution is the same thing as multiplication no argument there..but you distribute (ie. if there is a parenthesis) before doing multiplication or division.
OK, maybe this will convice you... it's what Ace said earlier...
48 / 2 * (9+3)
48 * 1/2 * (9+3)
outmath that... since THAT'S WHAT'S IN THE OP!
and don't tell me you can just forget about the first multiplication
|
On April 09 2011 10:53 Pufftrees wrote:Show nested quote +On April 09 2011 10:07 gerundium wrote:On April 09 2011 10:04 FindMeInKenya wrote:
Again, read that long post on page 62, which basically explains why there's no priorities for real numbers. Maybe your Uni and work has some rules for the sake of simplification, but for a theoretical mathematician, 288 is the only agreeable answer. how about no. A mathematician would see that the question is phrased poorly and whoever did it has failed to make his intentions clear, therefor arguing any side is pointless. This "mathematician" you speak of is actually an English major who thinks he's good at Math or something? You can't phrase math poorly, there is one way to interpret this correctly, every other way is wrong. 2 is wrong, if you voted for 2 (all 800+ of you), you do not understand basic mathematical conventions... even though it's obviously written to throw off people with lesser Math skills.
I have finished math heavy CS and I can tell you that you are wrong. You can phrase math poorly as OP did. The basic mathematical convention used to make OP expression unambiguous is not used universally. There are other notations that are used in practice and for which the expression in the OP is valid and in those notations the answer is 2. Also the whole problem has nothing to do with math proper. It is grammatical parsing problem and if you think it is math problem, you never saw one.
|
You know what from now on just ask anyone posting to solve this:
48 * 1/2 * (9+3)
|
I can't find any source that says you don't multiply the parenthesis first
2(4+1) = 2(5)
You do that first.
|
On April 09 2011 12:17 chonkyfire wrote:
I can't find any source that says you don't multiply the parenthesis first
2(4+1) = 2(5)
You do that first.
48 * 1/2 * (9+3)
Outmath that, then talk to me.
|
On April 09 2011 12:18 Keitzer wrote:Show nested quote +On April 09 2011 12:17 chonkyfire wrote:
I can't find any source that says you don't multiply the parenthesis first
2(4+1) = 2(5)
You do that first. 48 * 1/2 * (9+3) Outmath that, then talk to me.
That's not what was written
it was written 48/2(9+3)
|
On April 09 2011 12:14 Myles wrote:Show nested quote +On April 09 2011 12:05 mints wrote:On April 09 2011 12:00 Myles wrote:On April 09 2011 11:55 mints wrote:48÷2(9+3) =48÷2(12) =48÷24 =2 or =2 Im still standing by the answer 2. Multiplication and division have the same order of operation, so you do whichever comes first when reading left to right. Thus you would do the parenthesis first like you did, but then do the division of 48/2 since it comes before multiplying the 2*12. No...when you add (9+3) ... its then 48÷2(12), the parenthesis does not disappear..so you would distribute the 2 then divide. Thus 48÷24=2 In this case you're not really distributing anything since 2(12) is equivalent to 2*12, making the whole thing go to 48÷2*12, in which you follow left to right since neither operation takes precedence.
Distributing occurs when theres a parenthesis. Hence PEMDAS or whatever you use. Again the parenthesis does not disappear when you add the 9+3..the 12 is the in parenthesis. So it takes priority.
|
|
|
|
|
|
EPT
