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Wednesday, August 6, 2008
Roman Numerals
Roman Numerals
The numeric system known today as Roman Numerals utilizes only seven symbols, which are added and subtracted to form any number. A superscript bar over a number multiplies it by 1,000, and two vertical lines in addition to the superscript bar multiply a number by 100,000. Thus the common symbols are:
I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1,000
= 5,000
= 10,000
= 50,000
= 100,000
= 500,000
= 1,000,000
= 1,000,000
= 10,000,000
= 100,000,000
= 16,000 etc.
= 1,600,000 etc.
There was no symbol for zero
The rule is that when two figures are side by side, if the smaller is on the right, it is added to the larger, and if it is on the left, it is subtracted from the larger. So, VI = 6 and IV = 4. Exceptions to this rule are very rare.
Modern rules have also been added, and are that:
* No more than three of the same symbol can be repeated in a row, and V and L are never repeated.
* The smaller number preceeding a larger number cannot be more than two values lower than the other or be one-half of it. This leaves IV, IX, VL, XL, XC, LD, CD, and CM as the normal pairings, so we will most likely see 1999 written as MCMXCIX rather than MIM.
In reality, these rules were never followed by the Romans. To start, they used more than these seven symbols, and M was used only as an abbreviation of mille or milia, not used in combination with other symbols until the 15th century. Repetitions of numbers often exceeded the rule of three, but V and L were never repeated. Values including VIIII and even XXXXXX were common. The following table shows how much the symbols vary.
1. I
14. XIV
90. XC or LXXXX
2. II
15. XV
100. C
3. III
16. XVI
200. CC
4. IIII or IV
17. XVII
300. CCC
5. V
18. XVIII or XIIX
400. CCCC or C
6. VI or
19. XIX or XVIIII
500. D or I or
7. VII
20. XX
600. I C
8. VIII or IIX
30. XXX
700. I CC
9. VIIII or IX
40. XL or XXXX
800. I CCC
10. X
50. L
900. I CCCC
11. XI
60. LX
1,000. CI or M or or
12. XII
70. LXX
10,000. CCI or
13. XIII
80. LXXX or XXC
100,000. CCCI or
500,000. Q
*Message
On October XXXI, MCMXCIX we will attempt to rob the Last National Bank on MDLXXIX E. XXXVIIth Street in El Paso Texas. We will begin at XI o'clock in the morning. Each of the V of us will split the money. It will not be split evenly. Abel will get XXV%, Bob will get XXII%, Charlie will get XIX%, David will get XVIII%, and Eddie will get XVI%. If you need to contact me, call I-CXXIV-DLV-MMMDCLXXXIV
The numeric system known today as Roman Numerals utilizes only seven symbols, which are added and subtracted to form any number. A superscript bar over a number multiplies it by 1,000, and two vertical lines in addition to the superscript bar multiply a number by 100,000. Thus the common symbols are:
I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1,000
= 5,000
= 10,000
= 50,000
= 100,000
= 500,000
= 1,000,000
= 1,000,000
= 10,000,000
= 100,000,000
= 16,000 etc.
= 1,600,000 etc.
There was no symbol for zero
The rule is that when two figures are side by side, if the smaller is on the right, it is added to the larger, and if it is on the left, it is subtracted from the larger. So, VI = 6 and IV = 4. Exceptions to this rule are very rare.
Modern rules have also been added, and are that:
* No more than three of the same symbol can be repeated in a row, and V and L are never repeated.
* The smaller number preceeding a larger number cannot be more than two values lower than the other or be one-half of it. This leaves IV, IX, VL, XL, XC, LD, CD, and CM as the normal pairings, so we will most likely see 1999 written as MCMXCIX rather than MIM.
In reality, these rules were never followed by the Romans. To start, they used more than these seven symbols, and M was used only as an abbreviation of mille or milia, not used in combination with other symbols until the 15th century. Repetitions of numbers often exceeded the rule of three, but V and L were never repeated. Values including VIIII and even XXXXXX were common. The following table shows how much the symbols vary.
1. I
14. XIV
90. XC or LXXXX
2. II
15. XV
100. C
3. III
16. XVI
200. CC
4. IIII or IV
17. XVII
300. CCC
5. V
18. XVIII or XIIX
400. CCCC or C
6. VI or
19. XIX or XVIIII
500. D or I or
7. VII
20. XX
600. I C
8. VIII or IIX
30. XXX
700. I CC
9. VIIII or IX
40. XL or XXXX
800. I CCC
10. X
50. L
900. I CCCC
11. XI
60. LX
1,000. CI or M or or
12. XII
70. LXX
10,000. CCI or
13. XIII
80. LXXX or XXC
100,000. CCCI or
500,000. Q
*Message
On October XXXI, MCMXCIX we will attempt to rob the Last National Bank on MDLXXIX E. XXXVIIth Street in El Paso Texas. We will begin at XI o'clock in the morning. Each of the V of us will split the money. It will not be split evenly. Abel will get XXV%, Bob will get XXII%, Charlie will get XIX%, David will get XVIII%, and Eddie will get XVI%. If you need to contact me, call I-CXXIV-DLV-MMMDCLXXXIV
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