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What are Roman Numerals?

Visual representation of Roman numerals carved in stone
Ancient Roman numerals carved in stone

Roman numerals are a numeral system that originated in ancient Rome around 500 BCE. Unlike our modern number system (Hindu-Arabic numerals), Roman numerals use letters from the Latin alphabet to represent values:

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

This system was used throughout the Roman Empire and continued to be used in Europe long after the empire fell. Today, we still use Roman numerals for special purposes like numbering book chapters, indicating years on monuments, and in clock faces.

Rules for Roman Numerals

Illustration showing Roman numeral rules
Understanding Roman numeral rules

To read and write Roman numerals correctly, you need to follow specific rules:

  1. Addition Rule: When a numeral is followed by one of equal or lesser value, add their values (VI = 5 + 1 = 6)
  2. Subtraction Rule: When a smaller numeral appears before a larger one, subtract its value (IV = 5 - 1 = 4)
  3. Repetition Rule: Numerals I, X, C, and M can be repeated up to three times (III = 3, but IIII is incorrect for 4)
  4. No Repetition Rule: V, L, and D are never repeated (VV is incorrect for 10, use X instead)
  5. Placement Rule: Only I, X, and C can be used for subtraction (I before V or X, X before L or C, C before D or M)
Examples:

• 9 = IX (10 - 1) not VIIII

• 40 = XL (50 - 10) not XXXX

• 90 = XC (100 - 10) not LXXXX

• 400 = CD (500 - 100) not CCCC

Roman Numerals Chart

Colorful Roman numerals chart
Reference chart for Roman numerals

This chart will help you quickly find the Roman numeral equivalent for numbers 1 through 100:

Number Roman Numeral Number Roman Numeral
1I51LI
2II52LII
3III53LIII
4IV54LIV
5V55LV
6VI56LVI
7VII57LVII
8VIII58LVIII
9IX59LIX
10X60LX
11XI70LXX
12XII80LXXX
13XIII90XC
14XIV100C
15XV500D
20XX1000M
30XXX2024MMXXIV
40XL5000
50L10000

Conversion Guide

Step-by-step conversion examples
Converting between Roman numerals and numbers

Converting between Roman numerals and our number system requires understanding the rules and symbols. Let's practice:

Conversion Principles

1. Start from the left and move right

2. If a smaller numeral comes before a larger one, subtract

3. Otherwise, add the values

Example 1: Convert MMXXIV to a number

M (1000) + M (1000) = 2000

X (10) + X (10) = 20

IV (5 - 1 = 4) = 4

Total = 2000 + 20 + 4 = 2024

Example 2: Convert 49 to Roman numerals

40 = XL (50 - 10)

9 = IX (10 - 1)

Total = XL + IX = XLIX

(Not IL - remember the placement rules!)

Try it yourself:

Convert LXXVIII to a number (Answer: 78)

Convert 99 to Roman numerals (Answer: XCIX)

Roman Numerals Quiz

Test your understanding of Roman numerals with this 5-question quiz. Choose the correct answer for each question.

1. What number does the Roman numeral "XV" represent?
2. How would you write 49 in Roman numerals?
3. Which Roman numeral represents 100?
4. What is the correct way to write 900 in Roman numerals?
5. How would you write the current year (2024) in Roman numerals?

Frequently Asked Questions

Here are answers to common questions about Roman numerals:

Roman Numerals Trivia

Discover interesting facts about Roman numerals:

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