# Roman Numerals Converter

Decimal:

Roman:

Correct a Roman Numeral:

Roman Numerals Converter: A convenient tool for converting between Roman numerals and decimal numbers.

## Roman numerals

Roman numerals are a numeral system that originated in ancient Rome and was widely used throughout the Roman Empire. They are still occasionally used today, particularly in formal or decorative contexts. Here are the basic symbols and their corresponding values:

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

To represent larger numbers, Roman numerals use a combination of these symbols. The symbols are combined in a way that follows certain rules:

1. Symbols are read from left to right, and their values are added together. For example, II represents 1 + 1 = 2, and XXX represents 10 + 10 + 10 = 30.

2. If a smaller symbol appears before a larger symbol, its value is subtracted. For example, IV represents 5 - 1 = 4, and IX represents 10 - 1 = 9.

3. If a smaller symbol appears after a larger symbol, its value is added. For example, VI represents 5 + 1 = 6, and XI represents 10 + 1 = 11.

4. In general, the largest possible symbols are used first, followed by progressively smaller symbols. For example, 9 is represented as IX (10 - 1) rather than VIIII.

Roman numerals are often used to represent years, as in MMXXIII for the year 2023, or to label chapters or sections in books (e.g., Chapter X for Chapter 10). They are also used in clock faces and for numbering royalty (e.g., King Louis XIV).

While Roman numerals have their historical significance, they are less commonly used in modern mathematics and everyday calculations. The decimal system, using Arabic numerals (0-9), is the most widely used numeral system today.

## How do you translate Roman numerals?

To translate Roman numerals to their corresponding decimal (Arabic) numbers, you can follow these steps:

1. Write down the Roman numeral you want to translate.

2. Start from the left side of the numeral and examine each symbol.

3. Compare the value of each symbol to the value of the symbol to its right. If the symbol on the left is smaller than the symbol on the right, subtract its value from the total. If the symbol on the left is equal to or greater than the symbol on the right, add its value to the total.

4. Continue this process until you have examined all the symbols in the numeral.

5. Add up the values of the symbols to get the decimal equivalent.

For example, let's translate the Roman numeral "MCMLIV" to a decimal number:

M = 1000 CM = 900 L = 50 IV = 4

Add up the values: 1000 + 900 + 50 + 4 = 1954

So, the Roman numeral "MCMLIV" translates to the decimal number 1954.

It's important to note that Roman numerals do not use a symbol for zero. Therefore, if you encounter a Roman numeral with no symbols, it represents zero.

Additionally, Roman numerals can sometimes be challenging to interpret, especially when there are combinations of subtractive notation (e.g., IV for 4) or complex arrangements. Taking the time to carefully examine each symbol and follow the rules mentioned earlier will ensure accurate translation.

## What are the Roman numerals from 1 to 1000?

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

## Examples of Roman numbering

1980 in Roman numerals 1981 in Roman numerals MCMLXXX MCMLXXXI MCMLXXXII MCMLXXXIII MCMLXXXIV MCMLXXXV MCMLXXXVI MCMLXXXVII MCMLXXXVIII MCMLXXXIX MCMXC MCMXCI MCMXCII MCMXCIII MCMXCIV MCMXCV MCMXCVI MCMXCVII MCMXCVIII MCMXCIX MM MMI MMII MMIII MMIV MMV MMVI MMVII MMVIII MMIX MMX MMXI MMXII MMXIII MMXIV MMXV MMXVI MMXVII MMXVIII MMXIX MMXX MMXXI MMXXII MMXXIII MMXXIV MMXXV MMXXVI MMXXVII MMXXVIII MMXXIX MMXXX MMXXXI MMXXXII MMXXXIII