Roman Numerals: Introduction, Conversion Rules, Examples 2022

July 29, 2022
Roman country

Introduction

Roman numerals are a number system that ancient Romans introduced. This is used to express the value of numbers in the English alphabet. Romans used it as a digit in ancient to calculate mathematical questions. It is memorable numbers and easy to get a number.

In this article, you will learn how to write numbers in Roman numerals using a chart containing numbers counting from 1 to 100.

roman numerals

Roman Numerals 1 to 100

English NumbersRoman NumbersValue of Number
1I1
2II1+1
3III1+1+1
4IV5-1
5V5
6VI5+1
7VII5+1+1
8VIII5+1+1+1
9IX10-1
10X10
11XI10+1
12XII10+1+1
13XIII10+1+1+1
14XIV10+5-1
15XV10+5
16XVI10+5+1
17XVII10+5+1+1
18XVIII10+5+1+1+1
19XIX10+10-1
20XX10+10
21XXI10+10+1
22XXII10+10+1+1
23XXIII10+10+1+1+1
24XXIV10+10+5-1
25XXV10+10+5
26XXVI10+10+5+1
27XXVII10+10+5+1+1
28XXVIII10+10+5+1+1+1
29XXIX10+10+10-1
30XXX10+10+10
31XXXI10+10+10+1
32XXXII10+10+10+1+1
33XXXIII10+10+10+1+1+1
34XXXIV10+10+10+5-1
35XXXV10+10+10+5
36XXXVI10+10+10+5+1
37XXXVII10+10+10+5+1+1
38XXXVIII10+10+10+5+1+1+1
39XXXIX10+10+10+10-1
40XL50-10
41XLI50-10+1
42XLII50-10+1+1
43XLIII50-10+1+1+1
44XLIV50-10+5-1
45XLV50-10+5
46XLVI50-10+5+1
47XLVII50-10+5+1+1
48XLVIII50-10+5+1+1+1
49XLIX50-10+10-1
50L50
51LI50+1
52LII50+1+1
53LIII50+1+1+1
54LIV50+5-1
55LV50+5
56LVI50+5+1
57LVII50+5+1+1
58LVIII50+5+1+1+1
59LIX50+10-1
60LX50+10
61LXI50+10+1
62LXII50+10+1+1
63LXIII50+10+1+1+1
64LXIV50+10+5-1
65LXV50+10+5
66LXVI50+10+5+1
67LXVII50+10+5+1+1
68LXVIII50+10+5+1+1+1
69LXIX50+10+10-1
70LXX50+10+10
71LXXI50+10+10+1
72LXXII50+10+10+1+1
73LXXIII50+10+10+1+1+1
74LXXIV50+10+10+5-1
75LXXV50+10+10+5
76LXXVI50+10+10+5+1
77LXXVII50+10+10+5+1+1
78LXXVIII50+10+10+5+1+1+1
79LXXIX50+10+10+10-1
80LXXX50+10+10+10
81LXXXI50+10+10+10+1
82LXXXII50+10+10+10+1+1
83LXXXIII50+10+10+10+1+1+1
84LXXXIV50+10+10+10+5-1
85LXXXV50+10+10+10+5
86LXXXVI50+10+10+10+5+1
87LXXXVII50+10+10+10+5+1+1
88LXXXVIII50+10+10+10+5+1+1+1
89LXXXIX50+10+10+10+10-1
90XC100-10
91XCI100-10+1
92XCII100-10+1+1
93XCIII100-10+1+1+1
94XCIV100-10+5-1
95XCV100-10+5
96XCVI100-10+5+1
97XCVII100-10+5+1+1
98XCVIII100-10+5+1+1+1
99XCIX100-10+10-1
100C100

Roman Numerals from 1 to 1000

1I
2II
3III
4IV
5V
6VI
7VII
8VIII
9IX
10X
11XI
20XX
30XXX
40XL
50L
60LX
70LXX
80LXXX
90XC
100C
200CC
300CCC
400CD
500D
600DC
700DCC
800DCCC
900CM
1000M
1001MI

Converting Roman Numerals to Numbers

Romans used these letters for Unit place numbers that are the same for all numbers for their Unit place.

  • I for 1
  • II for 2
  • III for 3
  • IV for 4
  • V for 5
  • VI for 6
  • VII for 7
  • VIII for 8
  • IX for 9

Each number has 1 to 9 digits in a Unit placed in numbers, only the tenth, hundredth, thousand places, etc. are changed each time.

There is a simple rule to write this number, suppose you have to write 11 in roman numerals, then you have to write its tenth and unit place numbers in roman numerals. 11 is the sum of 10+1, X is used to present 10, and I is used to giving 1, so the number is XI.

Rule 1: If there is a larger number in the form of tens, hundreds, etc., then the number after it is added separately.

  • VIII = 8 (5+1+1+1)
  • LX = 60 (50+10)
  • MCC = 1200 (1000+100+100)

Rule 2: If there is a smaller number in the form of tens, hundreds, etc., then the number after that is subtracted from the leftmost number.

  • IV = 4 (5-1)
  • IX = 9 (10-1)
  • XL = 40 (50-10)

Solved Examples

Ex 1: Write 88 in roman numerals

Solution:

88 = 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1

= LXXXVIII

Ex 2: Convert 569 into roman numerals

Solution:

569 = 500 + 50 + 10 + 9

= DLXIX

Ex 3: 79 in roman numerals

Solution:

79 = 50 + 10 + 10 + 10 – 1

50 = L

10 = X

10 – 1 = IX

So, 50 + 10 + 10 + 10 – 1 = LXXIX

Ex 4: Convert XCIII roman numerals into numbers

Solution:

XC = 100 – 10 = 90

III = 3

So, XCIII is 93

Ex 5: 1000 in roman numerals

Solution:

1000 = M

M is used to represent 1000

Ex 6: 10000 in roman numerals

Solution:

10000 = X̅

Ex 7: 101 in roman numerals

Solution:

101 = 100 + 1

100 = C

1 = I

= CI

Ex 8: 11 in roman numerals

Solution:

11 = 10 + 1

10 = X

1 = I

= XI

Ex 9: 111 in roman numerals

Solution:

111 = 100 + 10 + 1

100 = C

10 = X

1 = I

= CXI

Ex 10: 13 in roman numerals

Solution:

13 = 10 + 3

10 = X

3 = III

= XIII

Ex 11: 14 in roman numerals

Solution:

14 = 10 + 4

10 = X

4 = 5 – 4 = V – I = IV

Ex 12: 15 in roman numerals

Solution:

15 = 10 + 5

10 = X

5 = V

= XV

Ex 13: 16 in roman numerals

Solution:

16 = 10 + 5 + 1

10 = X

5 = V

1 = I

= XVI

Ex 14: 17 in roman numerals

Solution:

17 = 10 + 5 + 2

10 = X
5 = V

2 = II

= XVII

Ex 15: 18 in roman numerals

Solution:

18 = 10 + 5 + 3

10 = X

5 = V

3 = III

= XVIII

Ex 16: 19 in roman numerals

Solution:

19 = 10 + 9

10 = X

9 = IX

= XIX

Ex 17: 1942 in roman numerals

Solution:

1942 = 1000 + 900 + 40 + 2

1942 = 1000 + (1000 – 100) + (50 – 10) + (1 + 1)

1000 = M

900 = 1000 – 100 = M – C = CM

40 = 50 – 10 = L – X = XL

2 = II

= MCMXLII

Ex 18: 1957 in roman numerals

Solution:

1957 = 1000 + 900 + 50 + 5 + 2

1000 = M

900 = 1000 – 100 = M – C = CM

50 = L

5 = V

2 = II

1957 = MCMLVII

Ex 19: 1963 in roman numerals

Solution:

1963 = 1000 + 900 + 50 + 10 + 3

1963 = 1000 + (1000 – 100) + 50 + 10 + (1+1+1)

1963 = M + (M – C) + L + X + III

1963 = M + CM + L + X + III

1963 = MCMLXIII

Ex 20: 1964 in roman numerals

Solution:

1964 = 1000 + 900 + 50 + 10 + 4

1964 = 1000 + (1000 – 100) + 50 + 10 + (5 – 1)

1964 = M + (M – C) + L + X + (V – I)

1964 = M + CM + L + X + IV

1964 = MCMLXIV

Ex 21: 569 in roman numerals

Solution:

569 = 500 + 50 + 10 + 9

569 = D + L + X + IX

569 = DLXIX

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