# Roman Numbers System and Its Application

## Roman Numbers:

• We use the Hindu-Arabic system of numerals. Another system of writing numerals is the Roman system.
• The Roman numerals: I, II, III, IV, V, VI, VII, VIII, IX, X denote 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 respectively.

 I V X L C D M 1 5 10 50 100 500 1000

## The rules for the system are:

• If a symbol is repeated, its value is added as many times as it occurs:
i.e., XX is 20 and XXX is 30.
• A symbol is not repeated more than three times. But the symbols V, L and D are never repeated.

• If a symbol of smaller value is written to the right of a symbol of greater value, its value gets added to the value of the greater symbol.
LXV = 50 + 10 + 5 = 65.

• If a symbol of a smaller value is written to the left of a symbol of greater value, its value is subtracted from the value of the greater symbol.
XL= 50 – 10 = 40, XC = 100 – 10 = 90.

• The symbols V, L, and D are never written to the left of a symbol of greater value, i.e. V, L, and D are never subtracted. The symbol I can be subtracted from V and X only. The symbol X can be subtracted from L, M, and C only.

• Following these rules we get,

 1 I 2 II 3 III 4 IV 5 V 6 VI 7 VII 8 VIII 9 IX 10 X 20 XX 30 XXX 40 XL 50 L 60 LX 70 LXX 80 LXXX 90 XC 100 C
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