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Roman Numerals

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Roman numerals are expressed by letters of the alphabet and are rarely used today except for formality or variety. There are four basic principles for reading Roman numerals:

  1. A letter repeated once or twice repeats its value that many times (XXX = 30, CC = 200, etc.).
  2. One or more letters placed after another letter of greater value increases the greater value by the amount of the smaller (VI = 6, LXX = 70, MCC = 1200, etc.).
  3. A letter placed before another letter of greater value decreases the greater value by the amount of the smaller (IV = 4, XC = 90, CM = 900, etc.). Several rules apply for subtraction: (a) only subtract powers of ten (I, X, or C, but not V or L); (b) only subtract one number from another; (c) do not subtract a number from one that is more than 10 times greater (that is, you can subtract 1 from 10 [IX] but not from 20—there is no such number as IXX).
  4. A bar placed on top of a letter or string of letters increases the numeral's value by 1,000 times (XV = 15, (X-bar)(V-bar) = 15,000).
Letter Value
I 1
II 2
IV 4
V 5
VI 6
IX 9
X 10
XX 20
XXX 30
XL 40
L 50
LX 60
LXX 70
XC 90
C 100
D 500
M 1,000
(V-bar) 5,000
(X-bar) 10,000
(L-bar) 50,000
(C-bar) 100,000
(D-bar) 500,000
(M-bar) 1,000,000

Information Please® Database, © 2007 Pearson Education, Inc. All rights reserved.

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