The Roman numeral Lxxxiv, which is conventionally written as LXXXIV, translates to 84 in Hindu-Arabic numerals.
Understanding the conversion of Roman numerals to the widely used Hindu-Arabic system involves recognizing the values of individual symbols and applying specific rules of combination.
Understanding Roman Numerals
The Roman numeral system uses letters from the Latin alphabet to represent numbers. Each letter has a fixed numerical value, and their arrangement determines the overall number.Key Roman Numerals and Their Values
Here’s a table of the basic Roman numeral symbols and their corresponding Hindu-Arabic values:| Roman Numeral | Hindu-Arabic Value |
|---|---|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
| D | 500 |
| M | 1000 |
Rules for Combining Roman Numerals
To correctly interpret Roman numerals, two primary rules are essential:- Addition: If a numeral of equal or greater value precedes a numeral of lesser value, their values are added. For example, VI = 5 + 1 = 6, and LX = 50 + 10 = 60.
- Subtraction: If a numeral of lesser value precedes a numeral of greater value, the lesser value is subtracted from the greater. This rule primarily applies to I, X, and C. For example, IV = 5 - 1 = 4, IX = 10 - 1 = 9, XL = 50 - 10 = 40, and CM = 1000 - 100 = 900.
Converting LXXXIV to Hindu-Arabic Numerals
Let's break down the Roman numeral **LXXXIV** step by step:- L: Represents 50.
- XXX: This is a combination of three 'X's. Since X = 10, XXX = 10 + 10 + 10 = 30. (Applying the addition rule)
- IV: This is a combination of 'I' and 'V'. Since 'I' (1) precedes 'V' (5), we apply the subtraction rule: 5 - 1 = 4.
Now, we combine these values by adding them together:
- LXXXIV = L + XXX + IV
- LXXXIV = 50 + 30 + 4
- LXXXIV = 80 + 4
- LXXXIV = 84
Therefore, the Roman numeral LXXXIV translates to 84 in Hindu-Arabic numerals.
For further reading on the Roman numeral system, you can explore resources like Wikipedia's page on Roman numerals.
