CXXXVIII Roman Numerals: Rules, Conversion Chart, Lists & Solved Examples

CXXXVIII roman numeral is the representation of the number 138. Questions can asked be to convert CXXXVIII Roman Numerals to numbers or to CXXXVIII Roman Numerals to words or vice versa.

Roman Numerals: Numbers used in ancient Rome were Roman numerals, which were made up of letters from the Latin alphabet (I, V, X, L, C, D and M). The symbols are arranged in numerous combinations and in different orders to represent numbers. After then, the symbols are joined together, for example, I + I + I equals III. We add X (10) and I (1) to make 11 and write it as XI. We can use CXXXVIII Roman Numerals to denote 138.

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Roman Numerals Symbols and Numbers
Symbol	I	V	X	L	C	D	M
Number	1	5	10	50	100	500	1000

CXXXVIII Roman Numeral Value

CXXXVIII is the representation of the number 138 in roman numerals. The value of CXXXVIII Roman can be calculated using the roman numeral addition method.

The value of CXXXVIII Roman can be calculated using the roman numeral addition method. First, we must write the numerical value of each character or letter. By adding these digits, the value of CXXXVIII Roman numerals is computed. We can calculate CXXXVIII Roman Numeral in a number of ways as mentioned below:

• CXXXVIII Roman Numeral by Expansion Method
• CXXXVIII Roman Numeral by Grouping Method

CXXXVIII Roman Numeral By Expansion Method

To use this method, calculate the value of each numeral and add it to find the final value.

Value of CXXXVIII Roman numeral = 100+10+10+10+8 = 138

CXXXVIII Roman Numeral By Grouping Method

In this system, the numerical values of groups of letters are considered for addition.

Value of CXXXVIII Roman numeral = (C) + (XXX) + (VIII) = 100 + 30 + 8 = 138

This was done for CXXXVIII Roman Numerals in numbers. You can follow the same steps for any number.

What are the Basic Rules to Write Roman Numerals

All roman numerals are made up of a set of seven symbols. These combinations adhere to four key guidelines. There are four important rules to follow for the Roman numeral system.

Rule 1: When a smaller symbol is after a greater symbol, it’s added.

For example,

XI = 10 + 1 = 11

Rule 2: If a symbol comes after itself, it’s added.

For example,

XX = 10 + 10 = 20

CCLX = 100 + 100 + 50 + 10 = 260

Rule 3: When a smaller symbol appears before a greater symbol, it is subtracted.

For example,

IX = 10 – 1 = 9

XL= 50 – 10 = 40

CM = 1000 – 100 = 900

Rule 4: The same symbol cannot be used more than three times in a row.

For example,

XXX = 10 + 10 + 10 = 30, but 40 is not XXXX. 40 is XL.

CCC = 100 + 100 + 100 = 300, but 400 is not CCCC. 400 is CD.

How to Convert CXXXVIII Roman Numeral to Number?

We can convert CXXXVIII roman numerals to numbers by using a few simple rules. Take a close look at this roman numeral.

CXXXVIII

Find the value of each symbol in a roman numeral and then add or subtract these values to convert them to digits.

Let’s give it a shot right now!

Let’s start by determining the value of each symbol.

C – 100

X – 10

X – 10

X – 10

VIII – 8

This is due to the fact that such numbers must be added (Rule 1).

Rule 1 is repeated once more:

Rule 1: When a smaller symbol is after a greater symbol, it’s added.

Let’s now add and subtract the values.

CXXXVIII = 100+10+10+10+8 = 138

So, what is this roman numeral’s value?

Correct!

CXXXVIII = 138

How to write CXXXVIII Roman Numeral in Words?

To write CXXXVIII Roman Numerals we must first convert it into numbers. We have already done that above. We know that CXXXVIII Roman Numeral is number 28. Now let’s write it into words. First, find out the places of the digits.

Hundreds: 1

Tens: 3

Ones: 8

Now, we will expand the number by adding a 0 to tens place digit and its addition with the digit in one place.

Thus, we get the expanded form of CXXXVIII Roman Numerals in numbers as:

100 + 30 + 8.

Now, we name each number. We know that 100 means hundred, 30 means thirty and 8 means eight. Therefore, CXXXVIII Roman Numerals in words is hundred and thirty-eight. This was done for CXXXVIII Roman Numerals in words. You can follow the same steps for any number.

Numbers Related to CXXXVIII Roman Numerals

Below are the numbers which are close to CXXXVIII. The right column shows how each roman numeral adds up to the total.

Number	Roman Numeral	Division
135	CXXXV	100 + 30 + 5
136	CXXXVI	100 + 30 + 6
137	CXXXVII	100 + 30 + 7
138	CXXXVIII	100 + 30 + 8
139	CXXXIX	100 + 30 + 9
140	CXXXX	100 + 40
141	CXXXXI	100 + 40 + 1
142	CXXXXII	100 + 40 + 2
143	CXXXXIII	100 + 40 + 3

CXXXVIII Roman Numerals Examples

Solved Example: Write the Hindu-Arabic numeral for MCMIV.

Solution:

We know that,

M is a thousand, CM is nine hundred and IV is four

Hence, MCMIV is written as One thousand nine hundred and four or 1904.

Solved Example 1: How would the number ‘473’ be written using Roman Numerals?

• IVVIIIII
• DCLXXIII
• CDLXXIII
• CCCCLXXIII

Solution: CDLXXIII

Solved Example 2: What is the value of XII+XIV+XXX? Write in Roman numerals.

Solution: 

When a numerical is followed by a lower-valued numeral, the two are added. In addition, if a lower value numeral is followed by a higher value numeral, the lower value numeral is deducted.

We also know that when a numeral is repeated, the number is multiplied by the number of times it is multiplied.

So, XII = 10+1+1 = 12

XIV = 10+5-1 = 14

XXX = 10+10+10 = 30

So, 12 + 14 + 30 = 56

50 is represented by L, and 6 is represented as VI.

So, XII+XIV+XXX = LVI

If you are checking CXXXVIII Roman Numerals article, also check the related maths articles:
XL Roman Numerals	XXV Roman Numerals
CXXV Roman Numerals	XXXVII Roman Numerals
XXIX Roman Numerals	XXVIII Roman Numerals
XXVI Roman Numerals	XXXIX Roman Numerals

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