XIII Roman Numerals | How To Write xiii In Roman Numerals

The Roman numerals XIII is the representation of the number 13. But if you don’t know how it was obtained or how to convert Roman numerals to Arabic numbers, well! No worries because this article on XIII Roman Numerals will be of immeasurable help to you since it contains the simplified procedures that will help you to get the proper guide that you desire. Keep scrolling through the article as we go through it together.

Roman numerals have been in existence for the past centuries and their importance cannot be overemphasized, since it is needed in astronomy to represent moons and in chemistry to depict groups of the periodic table among other functions.

Because of its importance, it has become an integral part of both elementary and high school syllables where it serves as the basis for understanding mathematical concepts.

What Are Roman Numerals?

 

Roman numerals as the name implies can be traced back to the Ancient Roman Empire. The Roman numerals numbering system has been used by most Europeans for over 1800 years. This simply means that the Roman numbering system is older than the present Hindu-Arabic system of numbering which is predominantly used today. 

Roman numerals are a subtractive and additive method where letters are commonly used to represent certain numbers in the numbering system. It involves the combination of the different English alphabets to represent a specific number (s) 

Primarily, the Roman numerals numbering system is based on addition though sometimes it may also use the principle of subtraction. In most cases, the numerals can be added together to represent a large number. Whichever way, Roman numerals have come to stay and we will continue to use them in our daily activities

XIII Roman Numerals

 

As I have stated earlier in the introduction, XIII Roman numerals represent 13. But in this section, we are going to look at how to convert Roman numerals to Arabic numbers and vice versa. 

For easy comprehension, I have decided to summarize the conversion process in the table below. All you have to do is to pay keen attention and I bet you that you will get the gist easily. Let’s go

Thousands Hundreds Tens  Ones
Arabic Numerals 1 3
0
1 M C X I
2 MM CC XX II
3 MMM CCC XXX III
4 CD XL IV
5 D L V
6 DC LX VI
7 DCC LXX VII
8 DCCC LXXX VIII
9 CM XC IX

 

From the table above, we can see that 1 is under the Tens column and 3 is under the One’s column. From the table now, we see that the first row of the ten’s column has a Roman numeral of X while the third row on the one’s column contains III. Hence when you add the two together i.e X + III, you will get XIII which is equal to 13 in an Arabic form. And that’s all

Meanwhile, if you want to convert from Arabic to Roman numerals or vice versa. Simply put the number as in the above table, and definitely, the number will appear in the exact form that you want it to be. However, due to the limitations of the lRoman numbering system, it is only possible to convert numbers from 1 to 3999.

However, to be able to convert Roman and Arabic numerals using the table above, you have to handle one Arabic digit at a time and then translate it to the right Roman number. But when using the table, it is pertinent for you to note that both the column and row for zeroes are usually empty, so ensure that your table is properly fixed before you start the conversion to avoid making mistakes.

Once you draw your table properly as the one above and tackle one Arabic digit at a time, I assure you that you will get the right answer when you carry out any other conversion.

Rules For Converting Roman Numerals

 

All the known Roman numerals consist of a set of seven symbols. These combinations follow four vital principles. Hence, you must Know and adhere to these four key rules when converting Roman numerals.

Hence, this section is designed to guide you on what the rules are, and how it works with their application attached to enable you to use them without making mistakes. 

  • First Rule

This rule states that when a smaller symbol is after a great symbol, it is added.

The examples can be seen below;

  1. XIII = 10 + 3= 13
  2. LVIII = 50 + 5 = 58
  • Second Rule

This rule says that when a smaller symbol appears before a greater symbol, it should be subtracted

Some of the examples are outlined below

  1. IX = 10 – 1 = 9
  2. XXL= 50 – 10 – 10 = 30
  3. CCM = 1000 – 100 – 100 = 800
  • Third Rule

This rule states that the same symbol cannot be repeated more than three times in a row.

The examples can be seen below

  1. XXX = 10 + 10 + 10 = 30, hence 40 is not XXXX instead it is XL.
  2.  CCC = 100 + 100 + 100 = 300, but 400 is not CCCC. Instead, 400 is a CD, etc.
  • Fourth Rule

This states that if a symbol comes after itself, it is added.

The examples are below

  1. CCC = 100 + 100 + 100 = 300
  2. CCLV = 100 + 100 + 50 + 5 = 255

Methods Of Converting XIII Roman Numerals To Arabic number

In this section, we are going to take a look at some of the ways that can be used to convert III Roman numerals to Hindu Arabic numbers. Two methods are generally used in the conversion of Roman numerals to Arabic numbers and vice versa, the two methods are elaborated below:

  • First Method

In this first method, we have to break the Roman numerals into single letters, then write the numerical value of each letter and after that, you can either subtract or add them.

The illustration is below

XIII = X + I + I + I = 10 + 1 + 1 + 1  = 13

  • Second Method

This second method involves grouping the Roman numerals for either subtraction or addition.

The illustration is given below

XIII = X + III = 10 + III = 13. And you are good to go, isn’t that simple?

The Major Roman Symbols Used To Represent Arabic Numbers 

There are seven major symbols in the Roman numerals which form the basis of conversion. It is either you are adding or subtracting numbers from these seven basic symbols.

The table below summarizes the symbols with the values attached

S/N Symbol Value
1. I 1
2. V 5
3. X 10
4. L 50
5. C 100
6. D 500
7. M 1000

 

Facts About The Number 13

 

13 is a prime number

The number 13 as a binary number is: 1101

The number 13 as an octal number is: 15

13 as a hexadecimal number is: D

The chemical element with the atomic number 13 is Aluminium (Al).

Related – IV Roman Numerals

Also Read – XXIV Roman Numerals

Read More – XVI Roman Numerals

Numbers close to XIII

 

There are some numbers which are close to XIII, the numbers are summarized in the table below;

S/N Number Roman Numerals Expansion
1. 10 X 10 
2. 11 XI 10 + 1
3. 12 XII 10 + 1 + 1
4. 13 XIII 10 + 1 + 1 + 1
5. 14 XIV 10 + 5 – 1
6. 15 XV 10 + 5 
7. 17 XVI 10 + 5 + 1

 

What Number Is XIII 

 

The Roman numerals XIII is the representation of the number 13.

By expansion;

X + III = 10 + 3 = 13.

What Does XIII Roman Numerals Mean?

 

The Roman numerals XIII represent the number 13 in the Arabic number form.

Using the expansion method; (i.e) XIII = X + III = 10 + 3 = 13. Therefore, the value of Roman Numerals XIII is 13.

How Are Roman Numerals XIII Written In Numbers?

 

The Roman numerals XIII is written as 13 in the Arabic form. Using the expansion method, (i.e) XIII = X + III = 10 + 3 = 13. Therefore, the value of Roman Numerals XIII is 13.

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