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Roman Numerals Converter

Use this roman numerals converter to convert Roman numerals to decimal (same as Arabic) and vice versa. Our tool will also show a breakdown of each Roman numeral.
Roman Numeral Converter

Roman Numeral Converter

About Roman Numerals Conversion

This is a Roman numeral converter that allows you to easily convert a decimal number to Roman numerals or a Roman numeral to a decimal (Arabic) number.

Convert from Roman to Arabic (Decimal) and Vice Versa

To use this converter, simply enter the number you want to convert in the corresponding input field. If you want to convert a decimal number to a Roman numeral, enter the decimal number in the "Enter a decimal number" input field and click the "Convert to Roman" button. If you want to convert a Roman numeral to a decimal number, enter the Roman numeral in the "Enter a Roman numeral" input field and click the "Convert to Decimal" button.

Roman Numerals Breakdown as a Result

If you enter an invalid number or numeral, an error message will appear below the input field indicating the error. If the conversion is successful, the result will be displayed in the "Result" section. Additionally, if you converted a decimal number to a Roman numeral, a breakdown of the conversion will be displayed in the "Roman Breakdown" section.

How to Convert Roman Numerals to Arabic Decimal Numbers by Hand

Converting Roman numerals to Arabic decimal numbers can be a daunting task, especially for those who are unfamiliar with the system. However, breaking down the conversion process into simple steps can make it much easier to understand and follow. In this article, we'll provide a step-by-step guide on how to convert Roman numerals to Arabic decimal numbers, using an example to illustrate each step.

Converting "XLVII" to an Arabic Decimal Number

Step 1: Write down the value of each Roman numeral symbol

To begin, we need to write down the value of each Roman numeral symbol. This will help us to determine the value of the entire numeral string. Here are the values of the symbols we'll be working with:

Symbol Values
  • X 10
  • L 50
  • V 5
  • I 1

Step 2: Write down the Roman numeral as a string

Next, we need to write down the Roman numeral as a string. For our example, we'll be converting the Roman numeral "XLVII."

Step 3: Starting from the left, examine each pair of Roman numeral symbols

Starting from the left, we'll examine each pair of Roman numeral symbols. In our example, we have two pairs of symbols:
  • XL
  • VII

Step 4: Examine the first pair of Roman numeral symbols

In the first pair of symbols, X (10) is less than L (50). According to the rules of Roman numeral notation, this means that we need to subtract X from L. Doing so gives us 50 - 10 = 40.

So far, we have:
  • XL
  • VII

Step 5: Examine the second pair of Roman numeral symbols

In the second pair of symbols, V (5) is greater than I (1). This means that we need to add V and I. Doing so gives us 5 + 1 = 6.

So far, we have:
  • XL
  • VI

Step 6: Add up the values of each symbol

Finally, we need to add up the values of each symbol. In our example, we have:
  • X = 10
  • L = 50
  • V = 5
  • I = 1
  • I = 1

Adding these values together, we get:

10 + 50 + 5 + 1 + 1 = 67

Therefore, the Roman numeral "XLVII" is equivalent to the Arabic decimal number 67.

Converting Roman numerals to Arabic decimal numbers may seem complicated at first, but by breaking down the process into simple steps, it becomes much easier to understand and follow. By following the steps outlined in this article, you can convert any Roman numeral to its equivalent Arabic decimal number.

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