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# Converting Numbers to Roman Numerals

Created by
@InvincibleUtopia

## Study Notes

### Converting Numbers to Roman Numerals

• Roman numerals use a combination of letters to represent numbers
• Each letter has a specific value:
• I = 1
• V = 5
• X = 10
• L = 50
• C = 100
• D = 500
• M = 1000
• To convert a number to Roman numerals, break it down into its place values (hundreds, tens, units) and add the corresponding Roman numeral values

### Hundreds

• Hundreds place: represents groups of 100
• In Roman numerals, hundreds are represented by the letter C
• Examples:
• 100 = C
• 200 = CC
• 300 = CCC
• 400 = CD (400 = 100 + 100 + 100 + 100, but in Roman numerals, 400 is written as CD, where D = 500 and C = 100, so CD = 500 - 100 = 400)

### Tens

• Tens place: represents groups of 10
• In Roman numerals, tens are represented by the letter X
• Examples:
• 10 = X
• 20 = XX
• 30 = XXX
• 40 = XL (40 = 10 + 10 + 10 + 10, but in Roman numerals, 40 is written as XL, where L = 50 and X = 10, so XL = 50 - 10 = 40)

### Units

• Units place: represents individual units
• In Roman numerals, units are represented by the letter I
• Examples:
• 1 = I
• 2 = II
• 3 = III
• 4 = IV (4 = 1 + 1 + 1 + 1, but in Roman numerals, 4 is written as IV, where V = 5 and I = 1, so IV = 5 - 1 = 4)

### Converting Numbers to Roman Numerals

• Roman numerals use a combination of letters to represent numbers, with each letter having a specific value: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000)
• To convert a number to Roman numerals, break it down into its place values (hundreds, tens, units) and add the corresponding Roman numeral values

### Place Values

• Hundreds place: represents groups of 100, denoted by the letter C
• Tens place: represents groups of 10, denoted by the letter X
• Units place: represents individual units, denoted by the letter I

### Converting Numbers

• 100 = C
• 200 = CC
• 300 = CCC
• 400 = CD (subtractive notation: 500 - 100 = 400)
• 10 = X
• 20 = XX
• 30 = XXX
• 40 = XL (subtractive notation: 50 - 10 = 40)
• 1 = I
• 2 = II
• 3 = III
• 4 = IV (subtractive notation: 5 - 1 = 4)

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## Description

Learn how to convert numbers to Roman numerals by breaking down numbers into place values and adding corresponding Roman numeral values. Understand the values of each Roman numeral letter.

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