November 15, 2022

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

When you think about numbers nowadays, the first thing that springs to mind is the decimal system we use regularly. This method, however, is not the single approach to depict numbers. There are several methods utilized by various cultures around the world that use all types of symbols. One of approach is Roman numbers.

Since ancient Rome, Roman numerals have become a way of writing numericals using a combination of letters from the Latin alphabet. It remained throughout the Middle Ages and the modern day, to the point it is still learned in school, that is perhaps why you have come across this post.

Now, we are going to look at Roman numerals, definition, how they function, and how to convert Roman numerals to ordinary numbers.

What Are Roman Numbers?

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

Currently, its extensive use is mainly because of its aesthetic reasons. You may have seen Roman numbers as hour marks on a clock, page numbering, chapter numbers, copyright dates, or in movie sequels (e.g., The Godfather Part II).

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

Meaning of the Roman numerals

Even though the decimal system is based on the concept of place value, Roman numbers are based on cumulative and subtractive principles. This states that a Roman numeral's numeric values are established on the sum of the values of its individual parts. Another major distinction is that the decimal system is established on the number 10. In contrast, Roman numerals are established on the numbers 1 (I), 5 (V) and 10 (X).

Examples

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

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

The film Star Wars Episode VI was the last to enter the original trilogy. Observing the value represented, it contains a V followed by an I. Therefore, we will add a 1 to the value of V, which is 5, letting us know this Star Wars movie is the 6th entry in the franchise.

Roman Numerals Chart

To read Roman numerals, it is essential to get a grasp of the numeric value of all the letters. To guide make this operation easy, here is a chart with every Latin characters with allocated 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 Decimal Numericals

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

Steps to Transform Roman numerals to Regular Numbers

To change Roman numbers to regular numericals, we will utilize the linear and subtractive principles we talked about.

  • Start at the leftmost Roman numeral in the group.

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

  • If the Roman numerical to its right is higher in value, subtract the Roman number on the right from the Roman numbers to its left.

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

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

Example 1

Take a look at the Roman numeral LXXVI.

  • Begin with the leftmost Roman numeral, 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 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. Because 5 is less than 70, we sum the both values and get 75.

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

We stop here at the end of the Roman number group. Therefore, the Roman numeral LXXVI is as same as the regular number 76.

Example 2

Take into account the Roman number MCMIII.

  • Begin with the leftmost Roman number, 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 means 900.

  • The Roman numeral to the right of M is I or 1. Because 1 is less than 1900, we add the both values and the result is 1901.

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

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

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

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

Grade Potential Can Help You with Roman Numerals

If you struggle to comprehend Roman numerals or any other math ideas, don't be afraid to call Grade Potential for help! Our experienced and knowledgeable instructors can help you with Roman numbers and the remaining of your mathematics homework.

Whether you are seeking to maintain or do better, we’ll assist you excel in your classes so you can feel positive on exam day. Book a hassle-free consultation!