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Roman Numerals

September 27, 2023
written by Rida Mirza

In mathematics, Roman numerals are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages.

In this article, we will discuss the Roman numerals.

image showing the roman numerals

Basics

Roman numbers a numeric system that originated in ancient Rome. Unlike the Arabic numeral system (1, 2, 3, etc.), Roman numerals use letters of the alphabet to represent numbers. Here’s a quick reference to the most commonly used Roman numerals:

I – 1

V – 5

X – 10

L – 50

C – 100

D – 500

M – 1000

Examples of Roman Numerals to Arabic Numerals

III is 3 (I + I + I)

VII is 7 (V + I + I)

XV is 15 (X + V)

XCII is 92 (XC + II)

MMXXI is 2021 (M + M + X + X + I)

Table of 50 Roman Numerals

Roman NumeralArabic Numeral
I1
II2
III3
IV4
V5
VI6
VII7
VIII8
IX9
X10
XI11
XII12
XIII13
XIV14
XV15
XVI16
XVII17
XVIII18
XIX19
XX20
XXI21
XXII22
XXIII23
XXIV24
XXV25
XXVI26
XXVII27
XXVIII28
XXIX29
XXX30
XXXI31
XXXII32
XXXIII33
XXXIV34
XXXV35
XXXVI36
XXXVII37
XXXVIII38
XXXIX39
XL40
XLI41
XLII42
XLIII43
XLIV44
XLV45
XLVI46
XLVII47
XLVIII48
XLIX49
L50

Advanced Concepts

Roman Numerals in Mathematics

Roman numerals can be used for basic arithmetic operations. However, they are not as practical as Arabic numerals for complex calculations. Here’s an example of addition:

  • XVII + IX = XXVI

Subtractive Principle

Roman numerals also employ the subtractive principle, which allows for more efficient representation. For instance:

IV represents 4 (one less than 5).

XC represents 90 (ten less than 100).

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