**Category : **4th Class

**Rule 1:** If a symbol is repeated in a Roman Numeral, the value of the numeral is obtained by adding the value of the symbols. For example

II = 1 + 1 = 2, III = 1 + 1 + 1 = 3

**Rule 2 :** In a Roman numeral, if a symbol at the left having greater value than the symbol at the right, add the values of these two symbols. For example

VI = 5 + 1 = 6 , XI = 10 + 1 = 11

Find the value of the Roman numeral XV. Solution: Rule 3: In a Roman numeral, if a symbol at the right having greater value than the symbol at the left, difference of their value is the resulting value. For example Find the value of the Roman numerals XL and CD. Solution: Rule 4: The symbols I, X, C and M can be repeated in a Roman numeral whereas V, L and D cannot be repeated. Note: No symbols can be repeated more than three times. Is XXXX a valid Roman numeral for 40: Solution: A symbol cannot be repeated more than three times. Thus XXXX is not a valid Roman numeral. Rule 5: When a Roman symbol of smaller value is placed between two symbols of greater value, its value is subtracted from the value of the symbol to its right. Find the value of the Roman numeral XIV. Solution; Find the value of the Roman numeral XXIX. Solution: See the following table:

HINDU-ARABIC NOTATION | ROMAN NOTATION | HINDU-ARABIC NOTATION | ROMAN NOTATIO N |

1 | I | 26 | XXVI |

2 | II | 27 | XXVII |

3 | III | 28 | XXVIII |

4 | IV | 29 | XXIX |

5 | V | 30 | XXX |

6 | VI | 31 | XXXI |

7 | VII | 32 | XXXI |

8 | VIII | 33 | XXXIII |

9 | IX | 34 | XXXIV |

10 | X | 35 | XXV |

11 | XI | 36 | XXVI |

12 | XII | 37 | XXXVII |

13 | XIII | 38 | XXXVII |

14 | XIV | 39 | XXXIX |

15 | XV | 40 | XL |

16 | XVI | 41 | XLI |

17 | XVII | 42 | XLII |

18 | XVIII | 43 | XLIII |

19 | XIX | 44 | XLIV |

20 | XX | 45 | XLV |

21 | XXI | 46 | XLVI |

22 | XXII | 47 | XLVII |

23 | XXIII | 48 | XLVIII |

24 | XXIV | 49 | XLIX |

25 | XXV | 50 | L |

HINDU-ARABIC NOTATION | ROMAN NOTATION | HINDU-ARABIC NOTATION | ROMAN NOTATIO N |

51 | LI | 76 | LXXVI |

52 | LII | 77 | LXXVII |

53 | LIII | 78 | LXXVII |

54 | LIV | 79 | LXXIX |

55 | LV | 80 | LXXX |

56 | LVI | 81 | LXXXI |

57 | LVII | 82 | LXXXII |

58 | LVIII | 83 | LXXXIII |

59 | LIX | 84 | LXXXIV |

60 | LX | 85 | LXXXV |

61 | LXI | 86 | LXXXVI |

62 | LXII | 87 | LXXXVII |

63 | LXIII | 88 | LXXXVIII |

64 | LXIV | 89 | LXXXIX |

65 | LXV | 90 | XC |

66 | LXVI | 91 | XCI |

67 | LXVII | 92 | XCII |

68 | LXVIII | 93 | XCIII |

69 | LXIX | 94 | XCIV |

70 | LXX | 95 | XCV |

71 | LXXI | 96 | XCVI |

72 | LXXII | 97 | XCVII |

73 | LXXIII | 98 | XCVIII |

74 | LXXIV | 99 | XCIX |

75 | LXXV | 100 | C |

Fill in the blanks using suitable sign >, < and = .. Solution: Thus 11 is greater than 9 So, 11>9. Therefore,is greater (>) than 9 v There are seven symbols which are used to write Roman numerals. v Roman symbols, I, X, C, M can be repeated. v Roman symbols V, L, D are not repeated. v When a Roman symbol of smaller value is put between two symbols of greater value. It is subtracted from the symbol to its right. v When a Roman symbol is placed before another Roman symbol of greater value, the value of the resulting numeral is equal to the difference of the value of the symbols. v When a Roman symbol is placed after another of greater value, the value of the resulting numeral is equal to the sum of the numerals. v It is to be noted that there is no existence of 0 (zero) in Roman numeral. v Big numbers are obtained by adding smaller numbers. v In western world, untilcentury Roman numeral was in common use. v When a vertical line is placed either sides of Roman numeral, the value of the numeral is increases by 100 times. For example.

Write the Roman numerals XL and IX in Hindu - Arabic notation and then add them? (a) 48 (b) 69 (c) 49 (d) 23 (e) None of these Answer (c) Explanation Thus

If X stands for 10 then how will you write 40 in Roman numerals? (a)XXXX (b) XL (c)LX (d) XLI (e) None of these Answers (b) Explanations We know that when a symbol of smaller value is followed by the symbol of greater value, value of the smaller symbol is subtracted from the symbol of greater value. Thus correct Roman numeral for.

Which one of the following symbols should be inserted between I in the Roman numeral XLIII such that it can represent 48? (a) X (b) V (c) L (d)C (e) None of these Answers (b)

Jack: No matter X is written left or right to L ,the numeral remains same. Cody: Value of the symbols will be added or subtracted depends on the order of the symbol. So you are wrong. Who is correct? (a)Jack (b) Cody (c) Both are correct (d) Both are partially incorrect (e) None of these Answers (b)

*play_arrow*Roman Numerals*play_arrow*Introduction*play_arrow*Rules to Write Roman Numerals*play_arrow*Roman Numerals

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