First year Math - A TA's Perspective
08-26-2009 at 02:02 PM
|
#61
|
Elite Member
Join Date: Aug 2009
Posts: 496
Thanked:
11 Times
Liked:
60 Times
|
Quote:
Originally Posted by ~*Sara*~
Haha, we're still talking about them today, so in a weird way, they DID survive .
Also, I hope you guys know that we're talking about today's math not Roman numerals
|
*replace "weird" with "historical"*
hehe
__________________
|
08-26-2009 at 02:04 PM
|
#62
|
Moderator
Join Date: May 2009
Posts: 7,303
Thanked:
819 Times
Liked:
624 Times
|
I x V = V
I x V = V
That's how I got it anyway
x= times
__________________
Mary Keyes CA 2013-2014
Hons. Biology and Pharmacology V
|
08-26-2009 at 02:04 PM
|
#63
|
Moderator
Join Date: May 2009
Posts: 7,303
Thanked:
819 Times
Liked:
624 Times
|
Quote:
Originally Posted by EasternHeat
*replace "weird" with "historical"*
hehe
|
same thing
__________________
Mary Keyes CA 2013-2014
Hons. Biology and Pharmacology V
|
08-26-2009 at 02:05 PM
|
#64
|
Moderator
Join Date: Jun 2008
Posts: 12,484
Thanked:
1,629 Times
Liked:
604 Times
|
Quote:
Originally Posted by EasternHeat
You tell me :p
|
Clearly when I say "Two "I"s" it refers to the addition of two "I"s which make "II". XD
And two "V"s make up an "X". I wasn't kidding when I said it was logical. (An X is an upright V and an upside down V put together.) XD
Lol, yeah that's right, I took the only logical part of the Roman numerals since everything else is illogical
__________________
Jeremy Han
McMaster Alumni - Honours Molecular Biology and Genetics
Pennsylvania College of Optometry at Salus University Third Year - Doctor of Optometry
|
08-26-2009 at 02:09 PM
|
#65
|
Moderator
Join Date: May 2009
Posts: 7,303
Thanked:
819 Times
Liked:
624 Times
|
Quote:
Originally Posted by jhan523
Clearly when I say "Two "I"s" it refers to the addition of two "I"s which make "II". XD
And two "V"s make up an "X". I wasn't kidding when I said it was logical. (An X is an upright V and an upside down V put together.) XD
Lol, yeah that's right, I took the only logical part of the Roman numerals since everything else is illogical
|
Haha, if only Mowicz could see what you turned his thread into XD. Roman numerals look fancy.. I think that's the only reason why people use it today.. definitely not for any of these calculations haha.
__________________
Mary Keyes CA 2013-2014
Hons. Biology and Pharmacology V
|
08-26-2009 at 02:13 PM
|
#66
|
Elite Member
Join Date: Aug 2009
Posts: 496
Thanked:
11 Times
Liked:
60 Times
|
Quote:
Originally Posted by jhan523
Clearly when I say "Two "I"s" it refers to the addition of two "I"s which make "II". XD
And two "V"s make up an "X". I wasn't kidding when I said it was logical. (An X is an upright V and an upside down V put together.) XD
Lol, yeah that's right, I took the only logical part of the Roman numerals since everything else is illogical
|
Hahaha blasphemy!
__________________
|
08-26-2009 at 02:26 PM
|
#67
|
Elite Member
Join Date: May 2008
Posts: 1,538
Thanked:
274 Times
Liked:
529 Times
|
Actually, addition and subtraction in Roman Numerals is a dream come true compared to the hindu-arabic system, so long as you remember the order of the letters:
In Roman: (Remember: C means 100, M means 1000)
(1) CMLXXXII - CLVI
(2) = CCMXXXI - V ("Add" a C, because C comes before M, remove L,I since they are in their proper (decreasing) order...leave V alone because it doesn't appear in the expression)
(3) = CCMXX(VV)II - V ("Break" X into VV)
(4) = CCMXXVI (Remove V since it's in its proper order)
In Hindu-Arabic:
(1) 982 - 156
(2) = 982 - 100 - 50 - 6 (Group things in base 10)
(3) = ((972 + 10) - 6) - 100 - 50 ("Borrow" a 10)
(4) = (972 + 4) - 100 - 50
(5) = 976 - 100 - 50
(6) = 926 - 100
(7) = 826
^^Of course I wrote things down to death, but this is actually what you're doing every time you subtract (addition is similar, but with 'stacking' 10s). The Roman system is just about adding and removing letters...seems more mindless to me.
Multiplication and division sure, those get nasty in Roman...but they didn't need these back in the day.
|
08-26-2009 at 02:27 PM
|
#68
|
Elite Member
Join Date: Apr 2009
Posts: 487
Thanked:
36 Times
Liked:
29 Times
|
... I can't figure out which one is easier to understand....
__________________
Melissa Sharma
SRA Science
|
08-26-2009 at 02:30 PM
|
#69
|
Moderator
Join Date: May 2009
Posts: 7,303
Thanked:
819 Times
Liked:
624 Times
|
Quote:
Originally Posted by mellye
... I can't figure out which one is easier to understand....
|
Haha, I second that XD
__________________
Mary Keyes CA 2013-2014
Hons. Biology and Pharmacology V
|
08-26-2009 at 02:31 PM
|
#70
|
Moderator
Join Date: Jun 2008
Posts: 12,484
Thanked:
1,629 Times
Liked:
604 Times
|
I'm so confused... I think my brain just exploded.
__________________
Jeremy Han
McMaster Alumni - Honours Molecular Biology and Genetics
Pennsylvania College of Optometry at Salus University Third Year - Doctor of Optometry
|
08-26-2009 at 02:32 PM
|
#71
|
Elite Member
Join Date: May 2008
Posts: 1,538
Thanked:
274 Times
Liked:
529 Times
|
It's hard to understand the Roman one but only because you haven't practiced it to death like the hindu arabic system (I mean you've presumably been using it what, 15, 18 years now? It's second nature).
But when you talk about complexity, as a computer science term, if you get longer and longer expressions in H-A arithmetic, it takes longer and longer for the computer to solve them. This is also true about Roman arithmetic, but the time it takes doesn't grow as quickly, because there are fewer steps to reach the solution.
If I gave you practice problems, I bet you'd like the Roman system better :p I do, and it's not because I crave being different xD It's just elegant (for addition and subtraction only)
What I mean is, you know how you 'forget to carry the 1' or something in our traditional arithmetic? That never happens in Roman, because you essentially 'cancel' letters on both sides of the minus sign.
EDIT: I should also note that this is only addition/subtraction over the natural numbers. No zeroes, decimals or negative numbers (because these also weren't relevant back in Roman times...lol)
Last edited by Mowicz : 08-26-2009 at 02:36 PM.
|
08-26-2009 at 02:35 PM
|
#72
|
Elite Member
Join Date: Apr 2009
Posts: 487
Thanked:
36 Times
Liked:
29 Times
|
Looking at it more closely, I think the whole borrow 10 part of the hindu arabic system just sorta happens in my head without me knowing... Since it's the easier of the steps... I think.
__________________
Melissa Sharma
SRA Science
|
08-26-2009 at 02:36 PM
|
#73
|
Moderator
Join Date: Jun 2008
Posts: 12,484
Thanked:
1,629 Times
Liked:
604 Times
|
Quote:
Originally Posted by Mowicz
It's hard to understand the Roman one but only because you haven't practiced it to death like the hindu arabic system (I mean you've presumably been using it what, 15, 18 years now? It's second nature).
But when you talk about complexity, as a computer science term, if you get longer and longer expressions in H-A arithmetic, it takes longer and longer for the computer to solve them. This is also true about Roman arithmetic, but the time it takes doesn't grow as quickly, because there are fewer steps to reach the solution.
If I gave you practice problems, I bet you'd like the Roman system better :p I do, and it's not because I crave being different xD It's just elegant (for addition and subtraction only)
What I mean is, you know how you 'forget to carry the 1' or something in our traditional arithmetic? That never happens in Roman, because you essentially 'cancel' letters on both sides of the minus sign.
|
Yeah, you're right. I don't even know most of the Roman numerals and I actually can't even read the first number that you posted XD
Well, maybe I can't... I would guess 982? Oh wait, you used the same values for both systems XD
__________________
Jeremy Han
McMaster Alumni - Honours Molecular Biology and Genetics
Pennsylvania College of Optometry at Salus University Third Year - Doctor of Optometry
|
08-26-2009 at 02:39 PM
|
#74
|
Elite Member
Join Date: Aug 2009
Posts: 496
Thanked:
11 Times
Liked:
60 Times
|
Quote:
Originally Posted by Mowicz
Actually, addition and subtraction in Roman Numerals is a dream come true compared to the hindu-arabic system, so long as you remember the order of the letters:
In Roman: (Remember: C means 100, M means 1000)
(1) CMLXXXII - CLVI
(2) = CCMXXXI - V ("Add" a C, because C comes before M, remove L,I since they are in their proper (decreasing) order...leave V alone because it doesn't appear in the expression)
(3) = CCMXX(VV)II - V ("Break" X into VV)
(4) = CCMXXVI (Remove V since it's in its proper order)
In Hindu-Arabic:
(1) 982 - 156
(2) = 982 - 100 - 50 - 6 (Group things in base 10)
(3) = ((972 + 10) - 6) - 100 - 50 ("Borrow" a 10)
(4) = (972 + 4) - 100 - 50
(5) = 976 - 100 - 50
(6) = 926 - 100
(7) = 826
^^Of course I wrote things down to death, but this is actually what you're doing every time you subtract (addition is similar, but with 'stacking' 10s). The Roman system is just about adding and removing letters...seems more mindless to me.
Multiplication and division sure, those get nasty in Roman...but they didn't need these back in the day.
|
LOL well all I have to say is the evidence is there, without the introduction of arabic numerals banking would not have come to where it is. Yes I did watch a documentary about it. Though its also a bad thing since bankers are pretty much owning the world (not to mention starting world wars and crashing markets all to make money). But arabic numerals also advanced mathematics in general and plus Arabs brought algebra to the west. The biggest thing we did though would have been in medicine. The funny thing now is we are lazy bums or should I say our leaders are stupid bums. Seriously...King Abdullah? Muamar Qadafi? Hosni Mubarak? All of them are stupid bums lol.
The only country in the middle easy thats actually smart is the UAE. They use their oil profits for growth in other sectors of the economy so that they won't have to rely on oil later on. Look at where they are now, very nice.
__________________
|
08-26-2009 at 02:42 PM
|
#75
|
Elite Member
Join Date: Aug 2009
Posts: 496
Thanked:
11 Times
Liked:
60 Times
|
Quote:
Originally Posted by Mowicz
It's hard to understand the Roman one but only because you haven't practiced it to death like the hindu arabic system (I mean you've presumably been using it what, 15, 18 years now? It's second nature).
But when you talk about complexity, as a computer science term, if you get longer and longer expressions in H-A arithmetic, it takes longer and longer for the computer to solve them. This is also true about Roman arithmetic, but the time it takes doesn't grow as quickly, because there are fewer steps to reach the solution.
If I gave you practice problems, I bet you'd like the Roman system better :p I do, and it's not because I crave being different xD It's just elegant (for addition and subtraction only)
What I mean is, you know how you 'forget to carry the 1' or something in our traditional arithmetic? That never happens in Roman, because you essentially 'cancel' letters on both sides of the minus sign.
EDIT: I should also note that this is only addition/subtraction over the natural numbers. No zeroes, decimals or negative numbers (because these also weren't relevant back in Roman times...lol)
|
But Mike, as we all know addition and subtraction is grade 2 stuff. Overall you need much more than that. I mean if you want to have fun using the Roman numerals to add and subtract for fun, go ahead by all means
__________________
|
Thread Tools |
Search this Thread |
|
|
Posting Rules
|
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts
HTML code is Off
|
|
|
McMaster University News and Information, Student-run Community, with topics ranging from Student Life, Advice, News, Events, and General Help.
Notice: The views and opinions expressed in this page are strictly those of the student(s) who authored the content. The contents of this page have not been reviewed or approved by McMaster University or the MSU (McMaster Students Union). Being a student-run community, all articles and discussion posts on MacInsiders are unofficial and it is therefore always recommended that you visit the official McMaster website for the most accurate up-to-date information.
| |