November 15, 2022

Roman Numbers - Rules, Chart | What Are Roman Numerals?

When you think about numericals nowadays, the first thing that springs to mind is the decimal system we utilize daily. This system, however, is not the only fashion to portray numericals. There are a lot of approaches used by different cultures around the world that utilize all types of characters. One such approach is Roman numbers.

Since ancient Rome, Roman numbers have been a way of expressing numericals using a combination of letters from the Latin alphabet. It existed during the Middle Ages and the modern day, to the extend it is still learned in school, which is perhaps why you have come across this article.

Today, we are going to look at Roman numbers, definition, how they operate, and how to convert Roman numerals to normal numbers.

What Are Roman Numbers?

Primarily, let's look at a quick look at the history of Roman numbers. Roman numbers were first utilized by the ancient Romans, as you might have predicted from the name. They were employed in multiple angles of the Roman world, including business, architecture, and even war.

Presently, its widespread use is mainly attributed to aesthetic reasons. You may have observed Roman numerals as hour marks on a clock, page numbering, chapter numbers, copyright dates, or in film sequels (e.g., The Godfather Part III).

The Roman number approach represents numbers using a combination of characters from the Latin alphabet. Characters are mixed to create groups that represent numericals. Seven alphabets, I, V, X, L, C, D, and M, depicts the numbers 1, 5, 10, 50, 100, 500, and 1000, individually. You can then blend these numericals to portray any value in the number system.

Meaning of the Roman numerals

Although the decimal system is based on the concept of place value, Roman numbers are established on cumulative and subtractive principles. This states that a Roman numeral's numeric values are founded on the sum of the values of its individual parts. One more major difference is that the decimal method is based on the number 10. In comparison, Roman numbers are founded on the numbers 1 (I), 5 (V) and 10 (X).

Examples

Let's check out a few practical examples of Roman numerals.

The computer game street fighter IV was released in arcades way back in 2008. If we observe the number in the title, we see it has a V in it. This is due to the fact number 5 in Roman number is represented by the alphabet V. Preceded by it is an I, or 1. Hence, we grasp that this is the 4th to enter in the series using the properties we will talk about subsequently in the article.

The film Star Wars Episode VI was the latest entry in the original trilogy. Looking at the value described, it contains a V followed by an I. Therefore, we will include a 1 to the value of V, which is 5, comprehending this Star Wars film is the 6th to enter the franchise.

Roman Numerals Chart

To read Roman numbers, it is crucial to know the numeric value of all the characters. To assist you make this function easy, here is a chart with every Latin alphabets with defined numeric values.


Decimal Number

Roman Numeral

1

I

2

II

3

III

4

IV

5

V

6

VI

7

VII

8

VIII

9

IX

10

X

11

XI

12

XII

13

XIII

14

XIV

15

XV

16

XVI

17

XVII

18

XVIII

19

XIX

20

XX

21

XXI

22

XXII

23

XXIII

24

XXIV

25

XXV

26

XXVI

27

XXVII

28

XXVIII

29

XXIX

30

XXX

31

XXXI

32

XXXII

33

XXXIII

34

XXXIV

35

XXXV

36

XXXVI

37

XXXVII

38

XXXVIII

39

XXXIX

40

XL

41

XLI

42

XLII

43

XLIII

44

XLIV

45

XLV

46

XLVI

47

XLVII

48

XLVIII

49

XLIX

50

L

51

LI

52

LII

53

LIII

54

LIV

55

LV

56

LVI

57

LVII

58

LVIII

59

LIX

60

LX

61

LXI

62

LXII

63

LXIII

64

LXIV

65

LXV

66

LXVI

67

LXVII

68

LXVIII

69

LXIX

70

LXX

71

LXXI

72

LXXII

73

LXXIII

74

LXXIV

75

LXXV

76

LXXVI

77

LXXVII

78

LXXVIII

79

LXXIX

80

LXXX

81

LXXXI

82

LXXXII

83

LXXXIII

84

LXXXIV

85

LXXXV

86

LXXXVI

87

LXXXVII

88

LXXXVIII

89

LXXXIX

90

XC

91

XCI

92

XCII

93

XCIII

94

XCIV

95

XCV

96

XCVI

97

XCVII

98

XCVIII

99

XCIX

100

C

200

CC

300

CCC

400

CD

500

D

600

DC

700

DCC

800

DCCC

900

CM

1000

M


How to Transform from Roman Numbers to Everyday Numericals

Considering we have the useful table of Roman numerals, we can use that information to transform numericals back and forth promptly. Following these steps, you will convert these values whenever you want.

Steps to Transform Roman numerals to Everyday Numbers

To transform Roman numbers to decimal numbers, we will use the linear and subtractive principles we discussed.

  • Start at the leftmost Roman numerical in the group.

  • If the Roman numeral to its right is lesser in value, then add the two values.

  • If the Roman numerical to its right is higher in value, deduct the Roman number on the right out of the Roman numbers to its left.

  • All you must do now is replicate this method unless you arrive at the end of the Roman number group.

Let's check out how you can transform Roman numerals with a few examples.

Example 1

Take a look at the Roman numeral LXXVI.

  • Initiate with the leftmost Roman number, that is L or 50.

  • The Roman numeral to its right is X or 10. Considering 10 is less than 50, we sum the two values and get 60.

  • The Roman numeral to the right of X is X again. We add 10 to 60 and the result is 70.

  • The Roman number to the right of X is V or 5. Since 5 is less than 70, we sum the two values and the result is 75.

  • The Roman numeral to the right of V is I or 1. Considering 1 is less than 75, we sum the two values and the result is 76.

We halt here at the end of the Roman number group. Therefore, the Roman numeral LXXVI is equal to the decimal number 76.

Example 2

Consider the Roman number MCMIII.

  • Begin with the leftmost Roman numeral, that is M or 1000.

  • The Roman numeral to its right is C or 100. Because 100 is less than 1000, and it is ensued by an M, this value stands at 900.

  • The Roman numeral to the right of M is I or 1. Considering 1 is less than 1900, we sum the both values and get 1901.

  • The Roman numeral to the right of I is I again. We add 1 to 1901 and the result is 1902.

  • The Roman number to the right of I is I again. We add 1 to 1902 and get 1903.

Since we have arrived the end of the Roman number group, we stop here with our result. Therefore, the Roman numeral MCMIII is as same as the decimal number 1903.

With this data and a some practice, you will transform Roman numbers to decimal numbers like a pro!

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