November 15, 2022

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

When you think about numbers nowadays, the first of all that comes to mind is the decimal method we use everyday. This system, however, is not the single approach to depict numericals. There are a lot of systems utilized by various cultures around the world that use all kinds of characters. Classified among many one of the method is Roman numerals.

Since ancient Rome, Roman numbers have become a way of writing numbers utilizing a blend of characters from the Latin alphabet. It persisted throughout the Middle Ages and the modern day, to the extend it is still educated in school, that is perhaps why you have stumbled upon this article.

Today, we are going to look at Roman numbers, what they are, how they operate, and how to change Roman numbers to regular numbers.

What Are Roman Numbers?

First, let's look at a brief look at the history of Roman numbers. Roman numericals were initially utilized by the historic Romans, as you may have expected from the name. They were used in many angles of the Roman world, consisting of trade, architecture, and even warfare.

Presently, its extensive use is primarily attributed to artistic reasons. You might have observed Roman numbers 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 includes numericals using a combination of characters from the Latin alphabet. Letters are blended to create groups that represent numbers. Seven characters, I, V, X, L, C, D, and M, symbolizes the numbers 1, 5, 10, 50, 100, 500, and 1000, separately. You can then combine these numericals to represent any value in the numerical system.

Meaning of the Roman numerals

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

Examples

Let's look at a few hands-on examples of Roman numbers.

The video game street fighter IV was released in arcades as early as 2008. If we look at the number in the title, we see it consist of a V in it. This is because the number 5 in Roman numerals is described by the alphabet V. Preceded by it is an I, or 1. Therefore, we comprehend that this is the 4th entry in the series employing the characteristics we will speak on subsequently in the article.

The film Star Wars Episode VI was the last to enter the original trilogy. Observing the value portrayed, it comprises a V followed by an I. Hence, we will include a 1 to the value of V, which is 5, comprehending this Star Wars film is the 6th entry in the franchise.

Roman Numerals Chart

To read Roman numbers, it is essential to know the numeric value of all the characters. To help make this process easy, here is a chart with every Latin alphabets with defined number 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 Numerals to Everyday Numericals

Since we have the convenient table of Roman numerals, we can use that information to transform numericals back and forth quickly. Following these steps, you will transform these values any time you want.

Steps to Convert Roman numerals to Everyday Numbers

To convert Roman numerals to regular numericals, we will utilize the linear and subtractive principles we discussed.

  • Begin with the leftmost Roman numeral in the group.

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

  • If the Roman number to its right is more in value, subtract the Roman numeral on the right from the Roman numeral to its left.

  • All you must do now is repeat this process until you arrive at the end of the Roman numeral group.

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

Example 1

Consider the Roman numeral LXXVI.

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

  • The Roman number to its right is X or 10. Considering 10 is lesser than 50, we add the two values and get 60.

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

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

  • The Roman number to the right of V is I or 1. Considering 1 is less than 75, we sum the both values and get 76.

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

Example 2

Consider the Roman numeral MCMIII.

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

  • The Roman number to its right is C or 100. Since 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 two values and the result is 1901.

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

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

Because we have arrived the end of the Roman numeral group, we halt here with our answer. So, the Roman numeral MCMIII is equivalent to the regular number 1903.

With this data and a little practice, you will convert Roman numerals to decimal numbers like an expert!

Grade Potential Can Help You with Roman Numbers

If you struggle to understand Roman numerals or any other math concepts, don't hesitate to reach out to Grade Potential for help! Our expert and educated tutors can help you with Roman numerals and the remaining of your math homework.

If you are seeking to maintain or get ahead, we’ll help you excel in your classes so you can feel certain on examination day. Schedule a hassle-free consultation!