154 LearnersLast updated on May 26th, 2025
CMLXIII in Roman Numerals
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 CMLXIII.
What is CMLXIII in Roman Numerals?
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. CMLXIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., CMLXIII = 963.
Let us learn more about the Roman numeral CMLXIII, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for CMLXIII 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 CMLXIII in Roman Numerals?
Let us learn about how to write CMLXIII in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
CMLXIII 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 CMLXIII,
Step 1: First, we break the Roman numerals. CMLXIII = CM + L + X + I + I + I
Step 2: Write the Roman Numerals for each part.
The Roman Numeral CM is 900
The Roman Numeral L is 50
The Roman Numeral X is 10
The Roman Numeral I is 1
Step 3: Combine all the numbers CM + L + X + I + I + I = 900 + 50 + 10 + 1 + 1 + 1 = 963.
Therefore, the Roman Numeral CMLXIII is 963.
CMLXIII 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 CMLXIII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are CM, L, X, and III. The numeral for CM is 900 The numeral for L is 50 The numeral for X is 10 The numeral for III is 3
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add L, X, and III to CM, and we will get CMLXIII. Therefore, the numeral of CMLXIII is 963.
Numbers Related to CMLXIII 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 CMLXIII:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| CMLXIII | 963 | CM + LX + III |
| CM | 900 | M - C |
| LX | 60 | L + X |
| III | 3 | I + I + I |
Common Mistakes and How to Avoid Them in CMLXIII 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.
Mistake 2
Not subtracting the numerals correctly
The subtraction method is used when a smaller symbol follows a larger symbol. One should also remember that only specific symbols can be subtracted, like I and X.
For example, IL instead of XLIX for the number 49.
Mistake 3
Not grouping the numbers correctly.
When writing Roman numerals, we need to group the numbers correctly.
For example, the number 15, 10(X) + 5(V).
Mistake 4
Confusing similar-looking symbols for other numbers
Certain numerals have different numbers when placed in a different order. So we must make sure to fully understand the order of certain symbols and their placements. All symbols have to be placed in a different order to represent the correct number.
For example, IV(4) and VI (6) have the same symbols but are in different orders.
Mistake 5
Not counting all numbers when writing in Roman numerals.
Forgetting to count all numbers, when doing the expansion method or grouping method, can lead to mistakes.
For example, writing CM (900) and forgetting LXIII (63) for 963. Recheck steps once done during any arithmetic operation.
CMLXIII Roman Numerals Examples
Problem 1
Calculate the sum of CMLXIII + XXXVII. Provide the answer in Roman numerals.
The sum is M.
Explanation
Convert both Roman numerals into their decimal form:
CMLXIII = 963
XXXVII = 37
Now add both numbers: 963 + 37 = 1000
Now convert the number into its Roman numeral: 1000 = M
Problem 2
What is the result of subtracting DCCC from CMLXIII? Write the answer in Roman numerals.
The difference is CLXIII.
Explanation
Convert the Roman numerals into their decimal form:
CMLXIII = 963
DCCC = 800
Now subtract the numbers: 963 - 800 = 163
Convert the number into its Roman numeral: 163 = 100 (C) + 50 (L) + 10 (X) + 3 (III) = CLXIII
Problem 3
Divide CMLXIII by three and express the answer in Roman numerals.
CCCXXI
Explanation
Convert CMLXIII into its decimal form:
CMLXIII = 963
Divide by 3: 963 / 3 = 321
Write 321 in Roman numerals: 321 = 300 (CCC) + 20 (XX) + 1 (I) = CCCXXI
Problem 4
Find the product of CMLXIII and II.
MCMXXVI is the product of CMLXIII and II.
Explanation
Convert CMLXIII and II to numbers:
CMLXIII = 963
II = 2
Multiply the numbers: 963 × 2 = 1926
Convert 1926 into its Roman numerals: 1000 (M) + 900 (CM) + 20 (XX) + 6 (VI) = MCMXXVI
Problem 5
Convert CMLXIII into its decimal form.
In decimal form, CMLXIII is 963.
Explanation
Break CMLXIII into components:
CM = 900
LX = 60
III = 3
Add values: 900 + 60 + 3 = 963
FAQs on CMLXIII in Roman Numerals
1.What is LXIII in Roman numerals?
2.Is CMLXIII a prime number?
3.What is CMLXIII + CMLXIII?
4.What is DCLXIII?
5.Subtract LXIII from CMLXIII
6.How can children in Oman use numbers in everyday life to understand CMLXIII in Roman Numerals?
7.What are some fun ways kids in Oman can practice CMLXIII in Roman Numerals with numbers?
8.What role do numbers and CMLXIII in Roman Numerals play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve CMLXIII in Roman Numerals skills?
Important Glossaries for CMLXIII 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 9 in 963 is in the hundred's place.
- Subtraction Method: A technique in Roman numerals where a smaller numeral before a larger numeral indicates subtraction.
- Grouping Method: A method of breaking down Roman numerals into smaller parts to simplify reading or conversion.
- Expansion Method: A method of writing Roman numerals by expanding and adding their individual values to get the final number.
Explore More numbers
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.
