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# What is every Roman numeral from 1 to 1,000?

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Counting from 1 to 1,000 using Roman numerals requires the use of seven different symbols: I, V, X, L, C, D and M. Numbers are formed by combining the symbols in various ways. Symbols that occur in sequence are added together. No more than three of the same symbol ever occurs in a row, and the symbols V and L never occur together.

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To begin, translate Roman numerals to numbers as follows: The symbol I equals the number 1. The symbol V is 5; X is 10; L is 50; C is 100; D is 500; and M is 1,000. There are no zeros in the Roman numeral system.

If a symbol representing a larger number appears on the left of another, add it to the following symbol. If the larger symbol appears to the right of the smaller number, subtract the smaller number.

If two of the same symbols appear to the right of another symbol, and their values are larger, add the values of the two identical symbols together, then subtract the sum from the number represented by the symbol on the left. If two of the same symbols appear to the left of another, and their values are smaller, first add them together and then subtract the sum from the value of the symbol on the right.

For example, II equals the number 2; III equals the number 3. Since no symbol can occur more than three times consecutively, the number four is written IV, indicating 5 minus 1. The numbers 6, 7, and 8 are: VI, VII and VIII. The symbol IX indicates 10 minus 1, or 9.

The same counting pattern continues throughout the Roman numeral system. XX equals 20, and XXI equals 21. XXV equals 25, XVII equals 27 and so forth. Larger numbers follow the same sequence. For instance MMCC equals 2,200; MMCCVI equals 2,206.

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