## Roman Numerals

Roman numerals consist of seven symbols:

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

- XXXIII = 33 (= 10 + 10 + 10 + 1 + 1 + 1)
- CLVII = 157 (= 100 + 50 + 5 + 1 + 1)
- MMCXII = 2112 (= 1000 + 1000 + + 100 + 10 + 1 + 1)

1 = I | 11 = XI |

2 = II | 12 = XII |

3 = III | 13 = XIII |

4 = IV | 14 = XIV |

5 = V | 15 = XV |

6 = VI | 16 = XVI |

7 = VII | 17 = XVII |

8 = VIII | 18 = XVIII |

9 = IX | 19 = XIX |

10 = X | 20 = XX |

Upon reviewing the entries within the table above, it may be noticed that:

- No symbol appears more than three times consecutively as the Romans used the following to represent numbers such as 4, 9, 40, 90:

- When a symbol of lesser value is written in front of a symbol of greater value, the smaller number is subtracted from the larger number

- Examples Include:

- IV = 4 (= 5 − 1)
- IX = 9 (= 10 − 1)
- XL = 40 (= 50 − 10)
- XC = 90 (= 100 − 10)

Example #1:

Express the number 999 in Roman numerals

Solution #1:

The number 999 equates to 900 + 90 + 9

For 900, we use 1000 − 100: CM

For 90, we use 100 − 10: XC

For 9, we use 10 − 1: IX

Therefore, 999 may be written as: CMXCIX

For 900, we use 1000 − 100: CM

For 90, we use 100 − 10: XC

For 9, we use 10 − 1: IX

Therefore, 999 may be written as: CMXCIX

Example #2:

Express the number 2792 in Roman numerals

Solution #2:

The number 2792 equates to 2000 + 700 + 90 + 2

For 2000, we use two M's: MM

For 700, we use 500 + 100 + 100: DCC

For 90, we use 100 − 10: XC

For 2, we use 1 + 1: II

Therefore, 2792 may be written as: MMDCCXCII

For 2000, we use two M's: MM

For 700, we use 500 + 100 + 100: DCC

For 90, we use 100 − 10: XC

For 2, we use 1 + 1: II

Therefore, 2792 may be written as: MMDCCXCII