Roman numerals find their origin from ancient romans. These roman numerals are an additive and subtractive system that makes use of different letters as symbols for base numbers as well as arbitrary numbers.
Some of the common letters used in roman numerals are I, X, L, C, D, and M. So, we can say that the number system that uses letters to represent numbers is termed as roman numerals.
In this maths article, we shall learn about the values of Roman Numerals from 1 to 100. We shall also learn about the transformation of Hindu Arabic numbers to Roman numerals and some of the simple rules followed for writing Roman Numerals.
Roman Numerals 1 to 100 Chart
Here let us look at a printable chart for the values of Roman numerals from 1 to 100. This will make it easy for the students to memorize the values and put them to use for solving complex questions:
Roman Numerals 1 to 100
Roman numerals 1 to 100 will help the students to understand the conversion of Hindu Arabic numbers to roman numerals from 1 to 100 using simple methods. Here is the list of numbers from 1 to 100 and their Roman numerals:
|1 = I||21 = XXI||41 = XLI||61 = LXI||81 = LXXXI|
|2 = II||22 = XXII||42 = XLII||62 = LXII||82 = LXXXII|
|3 = III||23 = XXIII||43 = XLIII||63 = LXIII||83 = LXXXIII|
|4 = IV||24 = XXIV||44 = XLIV||64 = LXIV||84 = LXXXIV|
|5 = V||25 = XXV||45 = XLV||54 = LXV||85 = LXXXV|
|6 = VI||26 = XXVI||46 = XLVI||66 = LXVI||86 = LXXXVI|
|7 = VII||27 = XXVII||47 = XLVII||67 = LXVII||87 = LXXXVII|
|8 = VIII||28 = XXVIII||48 = XLIII||68 = LXVIII||88 = LXXXVIII|
|9 = IX||29 = XXIX||49 = XLIX||69 = LXIX||89 = LXXXIX|
|10 = X||30 = XXX||50 = L||70 = LXX||90 = XC|
|11 = XI||31 = XXXI||51 = LI||71 = LXXI||91 = XCI|
|12 = XII||32 = XXXII||52 = LII||72 = LXXII||92 = XCII|
|13 = XIII||33 = XXXIII||53 = LIII||73 = LXXIII||93 = XCIII|
|14 = XIV||34 = XXXIV||54 = LIV||74 = LXXIV||94 = XCIV|
|15 = XV||35 = XXXV||55 = LV||75 = LXXV||95 = XCV|
|16 = XVI||36 = XXXVI||56 = LVI||76 = LXXVI||96 = XCVI|
|17 = XVII||37 = XXXVII||57 = LVII||77 = LXXVII||97 = XCVII|
|18 = XVIII||38 = XXXVIII||58 = LVIII||78 = LXXVIII||98 = XCVIII|
|19 = XIX||39 = XXXIX||59 = LIX||79 = LXXIX||99 = XCIX|
|20 = XX||40 = XL||60 = LX||80 = LXXX||100 = C|
How to Write Roman Numerals from 1 to 100?
To write roman numerals from 1 to 100 we can use any of the below given methods:
Expansion Method: In this method, we break the given number into its least expandable form and then write its corresponding roman numerals. Once that is done, we can easily add or subtract the numerals based on the rules for the roman numerals.
For Example: To write a number like 78, we first need to break it into its expandable form, i.e. 50 + 10 + 10 + 5 + 1 + 1 + 1. Now, we can write the roman numeral symbols for each one of the above numbers.
We know that 50 = L, 10 = X, 5 = V and 1 = I, so the number becomes LXXVIII.
Therefore, 78 in roman numerals is written as LXXVIII.
Grouping Method: In this method, the numbers are taken as groups for addition and obtaining the desired results.
Taking the same example: 78 can be written as 70 + 8.
We know that 70 = LXX and 8 = VIII. So, 78 becomes LXXVIII.
Rules to Write Roman Numerals from 1 to 100
Some of the common rules followed while writing the numbers from 1 to 100 in Roman Numerals are mentioned below:
Rule 1: When we repeat certain numerals, the number represented by them is taken as their sum. For example: II = 1 + 1 = 2, and XX = 10 + 10 = 20
Rule 2: We cannot repeat a roman numeral together more than three times. For example: 40 is not represented as XXXX.
Rule 3: Letters like V, and L cannot be repeated.
Rule 4: Letters like I, X and C can be used as subtractive numerals. Like IV = 5 – 1 = 4, IX = 10 – 1 = 9, XL = 50 – 10 = 40, and XC = 100 – 10 = 90.
Rule 5: When we place a roman numeral after another roman numeral having a greater value, the resultant is the sum of the numbers. For example: LX = 50 + 10 = 60, XI = 10 + 1 = 11.
Rule 6: When we place a roman numeral after another roman numeral having a smaller value, the resultant is the difference of the numbers. For example: XL = 50 – 10 = 40, IX = 10 – 1 = 9.
Rule 7: When a smaller numeral is placed between the two larger numerals, it is subtracted from the number at its right. For example: XIV = 10 + ( 5 – 1) = 10 + 4 = 14, XIX = 10 + ( 10 – 1) = 10 + 9 = 19.
Rule 8: No place value system is followed by roman numerals.
Rule 9: Zero cannot be represented in the roman number system.
Roman Numerals 1 to 100 Solved Examples
Que 1: Using the values of roman numerals from 1 to 100, find the product of XV and LX.
Ans 1: Let us first find the values of the given numbers in Hindu Arabic number system:
XV = 10 + 5 = 15 and LX = 50 + 10 = 60.
So, we need to find the product of 15 and 60 and then get the value in Roman numbers:
\(15\times 60\) = 900.
Therefore, the product of XV and LX is CM.
Que 2: Using the values of roman numerals from 1 to 100 find the difference between LXVIII and XXXV.
Ans 2: Let us first find the values of the given numbers in Hindu Arabic number system:
LXVIII = 50 + 10 + 5 + 1 + 1 + 1 = 68 and XXXV = 10 + 10 + 10 + 5 = 35.
So, we need to find the difference between 68 and 35 and then write the result in roman numbers:
68 – 35 = 33
Therefore, the difference between LXVIII and XXXV is XXXIII.
Que 3: Using the values of roman numerals from 1 to 100 find the sum of XXIX and LXXVII.
Ans 3: Let us first find the values of the given numbers in Hindu Arabic number system:
XXIX = 10 + 10 + (10 – 1) + 20 + 9 = 29 and LXXVII = 50 + 10 + 10 + 5 + 1 + 1 = 77.
So, we need to find the sum of 29 and 77 and then write the result in roman numbers:
29 + 77 = 106
Therefore, the sum of XXIX and LXXVII is CVI.
Que 4: Write the perfect cubes between 1 and 100 and express them in roman numerals.
Ans 4: We know that a perfect cube is a number that is obtained by multiplying a number three times by itself. The perfect cubes between 1 and 100 are 1, 8, 27, and 64.
Let us express them in roman numerals by using the knowledge of roman numerals from 1 to 100.
Therefore, the perfect cubes between 1 and 100 are I, VIII, XXVII, and LXIV.
We hope that the above article is helpful for your understanding and exam preparations. Stay tuned to the Testbook App for more updates on related topics from Mathematics, and various such subjects. Also, reach out to the test series available to examine your knowledge regarding several exams.
Roman Numerals 1 to 100 FAQs
Q.1What are Roman numerals?
Ans.1 Roman numerals is a number system that uses alphabets as symbols to represent positive numbers. Some of the commonly used roman numbers are I, II, III, IV, V, VI, VII, VIII, IX, X for the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.
Q.2How many twin prime numbers lie between the roman numerals from 1 to 100.
Ans.2 The twin prime numbers between 1 to 100 are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), and (71, 73). Therefore there are 8 pairs of twin prime numbers between 1 and 100 and can be written as (III, V), (V, VII), (XI, XIII), (XVII, XIX), (XXIX, XXXI), (XLI, XLIII), (LIX, LXI), and (LXXI, LXXIII) in roman numerals.
Q.3How many square numbers lie between 1 and 100. Express each of them as romannumerals.
Ans.3 The square numbers between 1 and 100 are, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100. Therefore, there are 10 perfect square numbers between 1 and 100 and these can be expressed as I, IV, IX, XVI, XXV, XXXVI, XLIX, LXIV, LXXXI, and C in roman numerals.
Q.4How will you express 65 in roman numerals using the expansion method?
Ans.4 To express 65 in roman numerals we need to break it into expanded form, i.e. 50 + 10 + 5. Now, we need to write the symbol for each of the expanded number and then add them using the rules of roman numerals.Therefore, 65 can be written as LXV.
Q.5How to calculate XXV Roman Numeral by Expansion Method?
Ans.5 First we need to write XXV as a single letter format.X + X + V.
We know that X = 10 and V = 5,
So, XXV = 10 + 10 + 5 = 25.