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 loosecannon
 
posted on April 3, 2001 01:33:58 PM
I can recognize most Roman numerals but this MDCDII has me baffled. Any help would be appreciated. Thank you!

 
 katiyana
 
posted on April 3, 2001 01:37:33 PM
I THINK its 1902.. but its done wrong..
M = 1000
D = 500
CD = 400
II = 2

I think it should be MCMII

 
 loosecannon
 
posted on April 3, 2001 01:49:36 PM
Thank you katiyana

It's done wrong? That's how it was written on the book, but 1902 is about right for the age of it.

Now I have an excuse for not recognizing it. hehe

 
 mrpotatoheadd
 
posted on April 3, 2001 01:53:10 PM
http://www.guernsey.net/~sgibbs/roman.html
 
 pcalton
 
posted on April 3, 2001 01:58:36 PM
1902 can also be written..

MCMII


pcalton
Perry Calton
[email protected]
http://www.pcalton.com
 
 Zazzie
 
posted on April 3, 2001 02:04:31 PM
They're both right, though the first one doesn't quite follow the rules as outlined in our arthmetic books

http://www.ivtechstudios.com/roman/



http://www.ivtechstudios.com/roman/faq.php3#faq1

only I, C, V can be subtracted---so
M=1000
D= 500
CD=400
II=2
Total 1902

but
M=1000
CM=900
II= 2
Total 1902

They were probably still use to writing out 1899 and below and that's why they used the longer and less accurate version

 
 katiyana
 
posted on April 3, 2001 02:33:44 PM
That might well be it.. I put into a roman numeral/arabic numeral calculator and it kept coming back as an Invalid Number the MDCD way... 8)

 
 mcbrunnhilde
 
posted on April 3, 2001 11:31:59 PM
I thought I read somewhere (long, long ago in a galaxy far, far away) that the "subtracting" number (in this case "C" ) could only be one number away from the number it is subtracting from. In other words, "C" can ONLY come before "D" (the next highest number) and cannot come before "M" (which is two numbers higher).


Without eBay, I might have a real life...
[ edited by mcbrunnhilde on Apr 3, 2001 11:34 PM ]
 
 potvin48
 
posted on April 4, 2001 10:47:57 AM
You can only subtract powers of 10...
I, X, and C are the only letters that can be subtracted...
And you can't subtract a number that is 10 times less than the number you're subtracting from...
(I.E., MIM for 1999 is invalid because I is 1000 times less than M, and MXM for 1990 is also wrong)

1902 should be written MCMII, not MDCD



 
 Zazzie
 
posted on April 4, 2001 10:58:14 AM
potvin said "you can't subtract a number that is 10 times less than the number you're subtracting from.."

so C is 1/5 of D and therefore valid
and C is 1/10 of M and also valid under the rules.

so even though it looks confusing MDCDII 1400+500+2=1902 is as correct as MCMII 1900+2=1902
 
 eventer
 
posted on April 4, 2001 11:16:39 AM
6 years of advanced Latin. They did it incorrectly.

If it's supposed to be 1902, the correct way is MCMII

I thought I read somewhere (long, long ago in a galaxy far, far away) that the "subtracting" number (in this case "C" ) could only be one number away from the number it is subtracting from

Not correct. You can do CM to equal 900, CD to equal 400, but not XM to equal 990. XL = 40. IV = 4, IX = 9 but IL does not equal 49.

It is also incorrect to try to state 400 as CCCC, it must be done as CD.

I = ones
V = five
X = tens
L = fifty
C = 100
D = 500
M = 1000

We had to do advanced math problems only using Roman Numerals..I remember those days w/less than fond memory.



 
 mcbrunnhilde
 
posted on April 4, 2001 12:39:26 PM
Eventer, thanks so much for providing the correct info. I knew I had read about some kind of restriction about which numbers could go in front of others and which couldn't, but I was obviously confused! Gee, you never know WHAT kind of experts you'll get on this board!


Without eBay, I might have a real life...
 
 upriver
 
posted on April 4, 2001 01:03:10 PM
http://netdirect.net/~charta/Table.html

 
 godzillatemple
 
posted on April 4, 2001 01:46:19 PM
Well, the two things that I remember from my studies years ago are (1) the Romans didn't always follow their own "rules" when it came to how to form various numbers [Doorway numbers at the Colosseum in Rome (c.80AD) show 40 as XL but 44 as XLIIII rather than XLIV], and (2) common modern usage has also been pretty flexible as well [Many timepieces from the 16th century on up have 4 represented as "IIII" instead of the more correct "IV"].

Just as spelling is not completely fixed and can vary from region to region and from one period to the next, the rules for roman numerals have changed as well.

Having said all that, here are the rules as stated at http://www.deadline.demon.co.uk/roman/intro.htm:

There are three rules about these smaller numerals which are placed to the left of a bigger one and subtracted.

* Only I, X, and C can be used in this way; V, L, and D cannot and of course M cannot because it is the biggest numeral anyway.

* Only one smaller number can be placed to the left. So 19 can be depicted XIX but 18 cannot be written XIIX. XIIX would have a certain ambiguity to it as it could be construed as 11+9=20 rather than 10-2+10=18.

* The subtracted number must be no less than a tenth of the value of the number it is subtracted from. So an X can be placed to the left of a C or an L but not to the left of an M or a D. Another way of looking at this rule is that each power of ten is dealt with separately. So 49 is XL IX (without the spaces), not IL

A related page located at http://www.deadline.demon.co.uk/roman/1999.htm discusses the many possible ways of representing 1999, and the discussion is helpful:

The Romans strictly represented units, tens, hundreds, and thousands as separate items in their numbers. That is probably because the numerals represented numbers as they were depicted on an abacus - a calculating machine using pebbles or beads which were arranged from right to left in columns of units, tens, hundreds, thousands etc. That means that 99 could be represented as XCIX - 90+9 but never as IC. Similarly, 999 cannot be IM and 1999 cannot be MIM. A consequence of this strict place rule is that an I can only be used to the left of a V or an X; an X can only be used to the left of an L or a C. And a C can only be used to the left of a D or an M.

So the only possible Roman numerical combinations for 1999 are the following

M (CM or DCCCC) (XC or LXXXX) (IX or VIIII)
1000----900------------------90------------------9

In theory that allows eight different ways of depicting 1999

MCMXCIX
MCMXCVIIII
MCMLXXXXIX
MCMLXXXXVIIII
MDCCCCXCIX
MDCCCCXCVIIII
MDCCCCLXXXXIX
MDCCCCLXXXXVIIII

However, in the Roman examples of Roman numbers which I have seen, where the subtraction rule was used for part of a number but not all of it, then it is the smaller end where it is not used. So you get XLIIII but not XXXXIV. So I would rule out the four examples above which break that rule, leaving as possibilities

1. MCMXCIX
2. MCMXCVIIII
3. MCMLXXXXVIIII
4. MDCCCCLXXXXVIIII

Some scholars say that the second is the more accurate, strictly Roman, depiction because the number 9 was usually written VIIII rather than IX. That was certainly true on the Colosseum at Rome where doorway 29 is marked XXVIIII. Others maintain that the fourth, longest version is the purest and would have been most widely understood - you could interpret it simply by counting. The third example may have no genuine Roman validity at all.

However, between Roman times and the medieval period, the principles of writing numbers in Roman numerals were codified and the subtractive principle was always used. So today - and for hundreds of years - educated people would use the most concise form - MCMXCIX. And that is what you should see on monuments and copyright notices this year.

Of course, even according to these rules, you can't write 1902 as MDCDII, since D is not a valid number for subtraction....

Regards,

Barry
---
The opinions expressed above are for comparison purposes only. Your mileage may vary....

[ edited by godzillatemple on Apr 4, 2001 01:48 PM ]
 
 
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