Roman Numerals – Explanation

The Roman numeral system is a number system that originated in ancient Rome and uses specific letters to represent values. Unlike the modern decimal system, Roman numerals do not use place value or zero. Instead, numbers are written using a combination of seven basic symbols:

Roman SymbolValue
I1
V5
X10
L50
C100
D500
M1000

Rules for Writing Roman Numerals

  1. Repetition Rule: A numeral can be repeated up to three times to add value. Example:
    • III = 3, XX = 20, CCC = 300
  2. Addition Rule: When a smaller numeral is after a larger numeral, the values are added. Example:
    • VI = 5 + 1 = 6
    • LXV = 50 + 10 + 5 = 65
  3. Subtraction Rule: When a smaller numeral is before a larger numeral, the values are subtracted. Example:
    • IV = 5 – 1 = 4
    • IX = 10 – 1 = 9
    • XL = 50 – 10 = 40
  4. No Repetition of Certain Symbols: The symbols V, L, and D cannot be repeated.
  5. Common Large Numbers:
    • 5000 is written as
    • 10,000 is written as
    • 50,000 is written as

Worksheet on Roman Numerals

Class 6

Section 1: Class Work (Solved Questions)

A. Convert the Given Numbers into Roman Numerals

  1. 49XLIX
  2. 97XCVII
  3. 154CLIV
  4. 388CCCLXXXVIII
  5. 792DCCXCII

B. Convert the Given Roman Numerals into Hindu-Arabic Numerals

  1. MCDXLIV1444
  2. DCCCXCIX899
  3. CMXLVII947
  4. MMXXIV2024
  5. CDLXXXV485

Section 2: Homework (Solve on Your Own)

A. Convert the Given Numbers into Roman Numerals

  1. 236
  2. 748
  3. 1059
  4. 1994
  5. 2750

B. Convert the Given Roman Numerals into Hindu-Arabic Numerals

  1. XCIV
  2. MCMXCIX
  3. CDLXII
  4. DCCCXLVI
  5. MMCDXII

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