Last updated on May 26th, 2025
To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. It 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 MCVI.
Ancient Romans discovered that counting fingers could get very complicated after 10. To overcome the complexity, the Roman numeral system was developed and 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 numeral system — I, V, X, L, C, D, and M. The numerals are made up of different combinations of these symbols. MCVI in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., MCVI = 1106.
Let us learn more about the Roman numeral MCVI, how we write it, the mistakes we usually make, and ways to avoid these mistakes.
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.
When a larger symbol is followed by a smaller symbol, we add the numerals to each other. For example, in VI, we have 5 + 1 = 6.
A symbol that is repeated up to three times in continuation increases the value of the numeral. For example, XXX = 30.
We use the subtraction method when a smaller symbol precedes a larger symbol. For example, XL = 40 (which is 50 – 10).
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.
Let us learn about how to write MCVI in Roman numerals. There are two methods that we can use to write Roman numerals:
The breaking down of Roman numerals into parts and then converting them into numerals is what we call the expansion method. The expansion method involves breaking down 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 MCVI,
Step 1: First, we break the Roman numerals. MCVI = M + C + V + I
Step 2: Write the Roman Numerals for each part The Roman Numeral M is 1000 The Roman Numeral C is 100 The Roman Numeral V is 5 The Roman Numeral I is 1
Step 3: Combine all the numbers M + C + V + I = 1000 + 100 + 5 + 1 = 1106. Therefore, the Roman Numeral MCVI is 1106.
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 MCVI.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, C, and VI. The numeral for M is 1000 The numeral for C is 100 The numeral for VI is 6
Step 2: Now we need to either add or subtract the smaller numbers, depending on their place.
Here we add C and VI to M, and we will get MCVI. Therefore, the numeral of MCVI is 1106.
Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.
Combine MCVI with C. Write the result in Roman numerals.
The result is MCCVI
Convert both Roman numerals into their decimal forms:
MCVI = 1106
C = 100
Now add both numbers: 1106 + 100 = 1206
Convert the number into its Roman numeral: 1206 = 1000 (M) + 200 (CC) + 6 (VI) = MCCVI
Subtract DCL from MCVI. Provide the answer in Roman numerals.
The answer is CDLVI
Convert the Roman numerals into their decimal forms:
MCVI = 1106
DCL = 650
Now subtract the numbers: 1106 - 650 = 456
Convert the number into its Roman numeral: 456 = 400 (CD) + 50 (L) + 6 (VI) = CDLVI
Divide MCVI by 2 and express the result in Roman numerals.
DLIII
Convert MCVI into its decimal form:
MCVI = 1106
Divide by 2: 1106 / 2 = 553
Write 553 in Roman numerals: 553 = 500 (D) + 50 (L) + 3 (III) = DLIII
Calculate the product of MCVI and II.
MMCCXII is the product of MCVI and II.
Convert MCVI and II into numbers:
MCVI = 1106
II = 2
Multiply the numbers: 1106 × 2 = 2212
Convert 2212 into its Roman numerals: 2000 (MM) + 200 (CC) + 10 (X) + 2 (II) = MMCCXII
Convert MCVI into its decimal form.
In decimal form, MCVI is 1106
Break MCVI into components:
M = 1000
C = 100
VI = 6
Add the values: 1000 + 100 + 6 = 1106
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.
: She loves to read number jokes and games.