# Roman Numerals 1 to 400

Created by: Team Maths - Examples.com, Last Updated: July 22, 2024

## Roman Numerals 1 to 400

Roman numerals, an ancient numerical system used by the Romans, are still relevant today in various contexts such as clocks, books, and historical documentation. The system uses combinations of letters from the Latin alphabet: I (1), V (5), X (10), L (50), C (100), and D (500). For numbers 1 to 400, this includes sequences like I to III for 1 to 3, IV for 4, V for 5, IX for 9, X for 10, XL for 40, L for 50, XC for 90, C for 100, CL for 150, CC for 200, CCC for 300, and CD for 400. Understanding Roman numerals from 1 to 400 provides insight into historical numbering systems and enhances numerical literacy in contexts where these numerals are still in use.

## Rules to Write Roman Numerals 1 to 400

1. Basic Symbols:
• I = 1
• V = 5
• X = 10
• L = 50
• C = 100
• D = 500
• M = 1000
2. Repeating Symbols:
• A symbol can be repeated up to three times to add values. For example:
• III = 3 (I + I + I)
• XXX = 30 (X + X + X)
• CCC = 300 (C + C + C)
3. Subtractive Notation:
• Place a smaller numeral before a larger numeral to subtract its value. For example:
• IV = 4 (5 – 1)
• IX = 9 (10 – 1)
• XL = 40 (50 – 10)
• XC = 90 (100 – 10)
• CD = 400 (500 – 100)
4. Additive Notation:
• Place a smaller numeral after a larger numeral to add its value. For example:
• VI = 6 (5 + 1)
• XII = 12 (10 + 2)
• XXVII = 27 (10 + 10 + 5 + 2)

## Solved Problems

1. Convert 23 to Roman Numerals:
• 10 + 10 + 1 + 1 + 1 = XXIII
2. Convert 49 to Roman Numerals:
• 50 – 10 + 9 = XLIX
3. Convert 78 to Roman Numerals:
• 50 + 10 + 10 + 5 + 1 + 1 + 1 = LXXVIII
4. Convert 135 to Roman Numerals:
• 100 + 10 + 10 + 10 + 5 = CXXXV
5. Convert 267 to Roman Numerals:
• 100 + 100 + 50 + 10 + 5 + 1 + 1 = CCLXVII
6. Convert 399 to Roman Numerals:
• 100 + 100 + 100 + 50 – 10 + 10 – 1 = CCCXCIX
7. Convert 400 to Roman Numerals:
• 500 – 100 = CD

Roman numerals from 1 to 400 include the symbols I, V, X, L, C, and their combinations to represent numbers. The system starts with I for 1, progressing to III for 3, V for 5, and continues with combinations like IX for 9, X for 10, and XL for 40. As it progresses through L for 50, C for 100, and combinations such as XC for 90, the system elegantly handles numbers up to 400, where CD represents 400 itself. This sequential and additive system was the standard numeral system in ancient Rome and remains significant in modern contexts for its historical and symbolic value.

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