November 15, 2022

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

When you think about numbers currently, the first of all that springs to mind is the decimal method we use daily. This system, however, is not the only approach to portray numericals. There are multiple methods utilized by different cultures worldwide that use all sorts of symbols. Classified among many one of the approach is Roman numbers.

Given that ancient Rome, Roman numerals have been a way of expressing numericals using a blend of letters from the Latin alphabet. It remained across the Middle Ages and the modern day, to the extend it is still taught in school, that is perhaps why you have come across this article.

Now, we are gonna to walkthrough Roman numbers, what they are, how they work, and how to transform Roman numerals to regular numbers.

What Are Roman Numerals?

Primarily, let's check a quick look at the history of Roman numerals. Roman numericals were first used by the historic Romans, as you may have predicted from the name. They were used in multiple aspects of the Roman world, including trade, architecture, and even war.

Presently, its extensive use is mainly due to artistic reasons. You may have seen Roman numbers as hour marks on a clock, page numbering, chapter numbers, copyright dates, or in film sequels (e.g., The Godfather Part II).

The Roman numeral approach consist of numericals using a combination of letters from the Latin alphabet. Letters are blended to create groups that represent numericals. Seven alphabets, I, V, X, L, C, D, and M, symbolizes the numericals 1, 5, 10, 50, 100, 500, and 1000, respectively. You can then mix these numbers to portray any value in the numerical system.

Meaning of the Roman numerals

Although the decimal system is based on the concept of place value, Roman numerals are founded on cumulative and subtractive principles. This means that a Roman numeral's numeric values are based on the sum of the values of its individual parts. Another key difference is that the decimal approach is founded on the number 10. In comparison, Roman numerals are based on the numericals 1 (I), 5 (V) and 10 (X).

Examples

Let's look at a few interactive examples of Roman numerals.

The electronic game street fighter IV was released in arcades as early as 2008. If we take a look at the numericals in the name, we see it includes a V in it. This is because the number 5 in Roman numerals is represented by the letter V. Preceded by it is an I, or 1. Therefore, we comprehend that this is the 4th to enter in the series utilizing the characteristics we will discuss subsequently in the article.

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

Roman Numerals Chart

To read Roman numbers, it is important to comprehend the numeric value of all the letters. To guide make this process easy, here is a chart with every Latin characters with assigned 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 Convert from Roman Numbers to Decimal Numbers

Since we have the handy table of Roman numbers, we can use that data to change numericals back and forth simply. Following these steps, you will transform these values whenever you want.

Steps to Convert Roman numerals to Regular Numbers

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

  • Begin with the leftmost Roman numeral in the group.

  • If the Roman number to its right is smaller in value, then add the both values.

  • If the Roman numerical to its right is greater in value, deduct the Roman numeral on the right from the Roman numbers to its left.

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

Let's check out how you can change Roman numbers with a some examples.

Example 1

Consider the Roman numeral LXXVI.

  • Begin 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 both values and get 60.

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

  • The Roman numeral to the right of X is V or 5. Because 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. Since 1 is less than 75, we sum the both values and the result is 76.

We cease here at the end of the Roman number group. Consequently, the Roman number LXXVI is as same as the decimal number 76.

Example 2

Take into account the Roman numeral MCMIII.

  • Start at the leftmost Roman number, that is M or 1000.

  • The Roman numeral to its right is C or 100. Since 100 is less than 1000, and it is followed by an M, this value means 900.

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

  • The Roman number to the right of I is I again. We sum 1 to 1901 and we find 1902.

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

Since we have arrived the end of the Roman numeral group, we halt here with our result. Thus, the Roman number MCMIII is equal to the decimal number 1903.

With this data and a little practice, you will transform Roman numerals to regular numbers like a pro!

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