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 MXCV.
Ancient Romans discovered that counting fingers could get very complicated after 10. To overcome this 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.
MXCV in Roman numerals can be written in number form by applying the rules of addition and subtraction, i.e., MXCV = 1095. Let us learn more about the Roman numeral MXCV, 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 VII, we have 5 + 2 = 7
A symbol that is repeated three times in continuation increases the value of the numeral. For example, CCC = 300
We use the subtraction method when a larger symbol follows a smaller symbol. For example, XC = 90 (which is 100 – 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, 50 is represented as L and not LL.
Let us learn about how to write MXCV 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 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 MXCV,
Step 1: First, we break the Roman numerals. MXCV = M + XC + V
Step 2: Write the Roman Numerals for each part The Roman Numeral M is 1000 The Roman Numeral XC is 90 The Roman Numeral V is 5
Step 3: Combine all the numbers M + XC + V = 1000 + 90 + 5 = 1095.
Therefore, the Roman Numeral MXCV is 1095.
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 MXCV.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, XC, and V. The numeral for M is 1000 The numeral for XC is 90
Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add V to M and XC and we will get MXCV. The Roman numeral V is 5
Therefore, the numeral of MXCV is 1095.
Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.
Determine the result of adding MXCV and DCLXVI. Write the answer in Roman numerals.
The sum is MDCLXI
Convert both Roman numerals into their decimal form:
MXCV = 1095
DCLXVI = 666
Add the numbers: 1095 + 666 = 1761
Convert 1761 to Roman numerals: 1761 = 1000 (M) + 500 (D) + 100 (C) + 50 (L) + 10 (X) + 1 (I) = MDCLXI
What is the difference between MXCV and CCCXXXIII? Write the result in Roman numerals.
The difference is DCCLXII
Convert the Roman numerals to their decimal form:
MXCV = 1095
CCCXXXIII = 333
Subtract the numbers: 1095 - 333 = 762
Convert 762 to Roman numerals: 762 = 500 (D) + 200 (CC) + 50 (L) + 10 (X) + 2 (II) = DCCLXII
Divide MXCV by V and write the answer in Roman numerals.
CCXIX
Convert MXCV into its decimal form:
MXCV = 1095
Divide by 5: 1095 / 5 = 219
Write 219 in Roman numerals: 219 = 200 (CC) + 10 (X) + 9 (IX) = CCXIX
Find the product of MXCV and III.
MMMCCCLXXXV is the product of MXCV and III.
Convert MXCV and III to numbers:
MXCV = 1095
III = 3
Multiply the numbers: 1095 × 3 = 3285
Convert 3285 to Roman numerals: 3285 = 3000 (MMM) + 200 (CC) + 80 (LXXX) + 5 (V) = MMMCCCLXXXV
Convert MXCV into its decimal form.
In decimal form, MXCV is 1095
Break MXCV into components:
M = 1000
XC = 90 (100 - 10)
V = 5
Add values: 1000 + 90 + 5 = 1095
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.