135 LearnersLast updated on May 26th, 2025
CVI in Roman Numerals
To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. They used a combination of seven symbols — I, V, X, L, C, D, and M to represent numbers. Roman numerals were used to record transactions, keep track of data, and label military units. In this topic, we are going to learn about the Roman numeral CVI.
What is CVI in Roman Numerals?
Ancient Romans discovered that counting fingers could get very complicated after 10. So to overcome the complexity, the Roman numeric system was developed. This was widely used throughout Europe as a standard writing system until the late Middle Ages. Seven symbols are used to represent numbers in the Roman numeric system — I, V, X, L, C, D, and M. The numerals are made up of different combinations of these symbols. CVI in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., CVI = 106.
Let us learn more about the Roman numeral CVI, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for CVI in Roman Numerals
When writing Roman numerals, there are a few rules that we need to follow based on the Roman numerals we are trying to write. In this section, we will learn about the rules when writing Roman numerals and how to represent them.
Rule 1: Addition Method:
When a larger symbol is followed by a smaller symbol, we add the numerals to each other. For example, in VIII, we have 5 + 3 = 8.
Rule 2: Repetition Method:
A symbol that is repeated three times in continuation increases the value of the numeral. For example, XXX = 30.
Rule 3: Subtraction Method:
We use the subtraction method when a larger symbol follows a smaller symbol. For example, XL = 40 (which is 50 – 10).
Rule 4: Limitation Rule:
Symbols cannot be repeated more than three times, and some symbols, such as V, L, and D cannot be repeated more than once. For example, 10 is represented as X and not VV.
How to Write CVI in Roman Numerals?
Let us learn about how to write CVI in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
CVI in Roman Numeral by Expansion Method
The breaking down of Roman numerals into parts and then converting them into numerals is what we call the expansion method. The expansion method is the breaking down of Roman numerals into numerical form and adding them to get the final number.
Step 1: Break the Roman numerals into parts.
Step 2: Now write each of the Roman numerals with its numerical digit in the place value.
Step 3: Add the numerals together.
For CVI,
Step 1: First, we break the Roman numerals. CVI = C + V + I
Step 2: Write the Roman Numerals for each part The Roman Numeral C is 100 The Roman Numeral V is 5 The Roman Numeral I is 1
Step 3: Combine all the numbers C + V + I = 100 + 5 + 1 = 106. Therefore, the Roman Numeral CVI is 106.
CVI in Roman Numeral by Grouping Method
Using subtraction and addition rules, we will apply the grouping method. This means we break the Roman numerals into smaller groups, which makes it easier to work with. This method groups the Roman numerals logically, and then we write the numbers for each group.
Step 1: Take the largest number and write the number for that Roman numeral.
Step 2: Write the Roman numeral using the subtraction and addition rules.
Example: Let’s take the Roman numeral CVI.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are C, V, and I. The numeral for C is 100.
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add V and I to C, and we will get CVI. The Roman numeral V is 5, and I is 1. Therefore, the numeral of CVI is 106.
Numbers Related to CVI in Roman Numerals
We follow a pattern when it comes to writing Roman numerals. In this section, we will write some numbers related to the Roman numeral CVI:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| C | 100 | C |
| CI | 101 | C + I |
| CII | 102 | C + I + I |
| CIII | 103 | C + I + I + I |
| CIV | 104 | C + IV |
| CV | 105 | C + V |
| CVI | 106 | C + V + I |
| CVII | 107 | C + V + I + I |
| CVIII | 108 | C + V + I + I + I |
| CIX | 109 | C + IX |
| CX | 110 | C + X |
Common Mistakes and How to Avoid Them in CVI Roman Numerals
Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make and ways to avoid them.
Mistake 1
Mistakes when applying the repetition method
It can be quite confusing for beginners to remember that Roman Numerals cannot be repeated more than three times. Another thing to keep in mind is that Roman Numerals such as V, L, and D cannot be repeated.
For example, writing LL as 100 is incorrect; the correct answer is C.
CVI Roman Numerals Examples
Problem 1
Find the sum of CVI + XLIV. Write the answer in Roman numerals.
The sum is CL
Explanation
Convert both Roman numerals into their decimal form:
CVI = 106
XLIV = 44
Now add both numbers: 106 + 44 = 150
Now convert the number into its Roman numeral: 150 = 100 (C) + 50 (L) = CL
Problem 2
What is the difference between CC - XCIV? Write in Roman numerals.
The difference is CVI
Explanation
Convert the Roman numerals into their decimal form:
CC = 200
XCIV = 94
Now we subtract the numbers: 200 - 94 = 106
Convert the number into its Roman numeral: 106 = 100 (C) + 6 (VI) = CVI
Problem 3
Divide CCXII by 2 and write the answer in Roman numerals.
CVI
Explanation
Convert CCXII into its decimal form:
CCXII = 212
Divide by 2: 212 / 2 = 106
Write 106 in Roman numerals: 106 = 100 (C) + 6 (VI) = CVI
Problem 4
Find the product of CVI and IV.
CDXXIV is the product of CVI and IV.
Explanation
Write CVI and IV in numbers:
CVI = 106
IV = 4
Multiply the numbers: 106 × 4 = 424
Convert 424 into its Roman numerals: 400 (CD) + 20 (XX) + 4 (IV) = CDXXIV
Problem 5
Convert CVI into its decimal form.
In decimal form, CVI is 106
Explanation
Break CVI into components:
C = 100
VI = 6 (V + I)
Add values: 100 + 6 = 106
FAQs on CVI in Roman Numerals
1.What is VI in Roman numerals?
2.Is CVI a prime number?
3.What is CVI + CVI?
4.What is CXXXVI?
5.Subtract VI from CVI
Important Glossaries for CVI in Roman Numerals
- Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, LVV for 60 is wrong; the correct answer is LX.
- Place value: The position of a digit in a number; this position determines its value. For example, the number 1 in 106 is in the hundred's place.
- Prime Number: A number that has only two factors or multiples is called a prime number. For example, 107 is a prime number that has only two factors: 1 and itself.
- Addition Method: A method where numerals are added together when a larger numeral is followed by a smaller numeral.
- Subtraction Method: A method used to subtract numerals when a smaller numeral precedes a larger numeral.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
