How to Write 13 in Roman Numerals?

13 in Roman numerals is represented as ‘XIII’. To represent the number 13, we combine the Roman numerals for 10(X) and 3(III). Therefore, 13 = X + III = XIII. 

In this article, we will explain how to correctly write and represent 13 in Roman numerals with step-by-step examples. Roman numerals from 1 to 20 are written as I, II, III, IV, V, VI, VII, VIII, IX, X … up to XX.

 

Table of Contents

• How to Write 13 in Roman Numerals?
• Basic Rules to Interpret Roman Numerals
• Roman Numerals for Numbers Related to 13
• 13 in Roman Numerals- Example
• Conclusion
• Frequently Asked Questions

 

How to Write 13 in Roman Numerals?

13 in Roman numerals is written as a combination of the fundamental Latin symbols I and X.

 To write 13 in Roman numeral we have to first write it in expanded form using symbols as:

10(X) + 3(III)

 X + III = XIII.

 

Basic Rules to Interpret Roman Numerals

• Repetition Rule: A symbol can be repeated only 3 times.
  Example: XXX = 30, CC = 200

• A symbol is added to itself if repeated.
  Example: II = 2, XX = 20, XXX = 30

 

• Subtractive Rule: If a smaller symbol precedes a larger one, we subtract.
  Example: IX = 10 – 1 =19

 

• Additive Rule: If a smaller symbol comes after a bigger one, we add.
  Example: VI = 5 + 1 = 6

 

• Symbols V (5), L (50), and D (500) are never repeated and never subtracted.
  
  

• I can be subtracted only from V and X and X can be subtracted only from L, C, and M.
  
  

 

Roman Numerals for Numbers Related to 13

 

 

 

13 in Roman Numerals- Examples

Example 1:  How to represent 13 in Roman numerals?

Solution: 

Therefore, 13 in Roman numerals is XIII.

 

Example 2: Find the difference: XIII - X.

Solution:

We know that X Roman numerals is 10 and XIII Roman numeral is 13.

To understand the difference, we have to understand how XIII is written: 

10 + 3 = X + III

 

Example 3: What should be added from X to obtain XIII?

Solution:

We know that 10 in Roman numerals is X and I is 1.

So, we need to add 3 to 10 to get 13:

10 + 3 = 13

As 3 in Roman numerals is III.

Therefore, X + III = XIII.

 

Example 4: How to write 20 in Roman numerals?

Solution:

We know that X in Roman numerals is 10, and as we know, the symbol can be repeated only 3 times.

To find the 20 in Roman numerals, we add:

10+10 = 20

X+X = XX

Therefore, 20 in Roman numerals is represented as XX.

 

Conclusion

Roman numerals were created by the Greeks using specific letters from the Latin alphabet to denote values. These numerals are in use even today on documents, clocks, books, etc. By learning to represent 13 in Roman numerals, you can easily understand the use of Roman numerals around us. 

Frequently Asked Questions

1. How to write 13 in Roman numerals?

Answer: To write 13 in Roman numerals first expand it in tens and ones place value as 10 + 3. Now replace numbers with symbols used for 10 = X and 3 = III together as XIII.

2. What should be added to 10 to get 13?

Answer: We know that, 

10 in Roman Numerals = X

13 in Roman Numerals = XIII

 

As 13 – 10 = 3

Hence, 3 should be added to 10 to get 13.

 

3. Determine the value of 20 – 7

 

Answer: We know that, 

20 in Roman Numerals = XX

7 in Roman Numerals = VII

 

As, 20 – 7 = XX – VII = XIII