139 LearnersLast updated on May 26th, 2025
MCMXX 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 MCMXX.
What is MCMXX 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. MCMXX in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., MCMXX = 1920.
Let us learn more about the Roman numeral MCMXX, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for MCMXX 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 VI, we have 5 + 1 = 6.
Rule 2: Repetition Method:
A symbol that is repeated three times in continuation increases the value of the numeral. For example, CCC = 300.
Rule 3: Subtraction Method:
We use the subtraction method when a larger symbol follows a smaller symbol. For example, CM = 900 (which is 1000 – 100).
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 MCMXX in Roman Numerals?
Let us learn about how to write MCMXX in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
MCMXX 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 MCMXX,
Step 1: First, we break the Roman numerals. MCMXX = M + CM + X + X
Step 2: Write the Roman Numerals for each part. The Roman Numeral M is 1000 The Roman Numeral CM is 900 The Roman Numeral X is 10
Step 3: Combine all the numbers. M + CM + X + X = 1000 + 900 + 10 + 10 = 1920. Therefore, the Roman Numeral MCMXX is 1920.
MCMXX 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 MCMXX.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, CM, and XX. The numeral for M is 1000. The numeral for CM is 900. The numeral for XX is 20.
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add CM and XX to M, and we will get MCMXX. Therefore, the numeral of MCMXX is 1920.
Numbers Related to MCMXX 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 MCMXX:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| MCMXX | 1920 | M + CM + X + X |
| MCMXXI | 1921 | M + CM + X + X + I |
| MCMXXII | 1922 | M + CM + X + X + I + I |
| MCMXXIII | 1923 | M + CM + X + X + I + I + I |
| MCMXXIV | 1924 | M + CM + X + X + IV |
| MCMXXV | 1925 | M + CM + X + X + V |
| MCMXXVI | 1926 | M + CM + X + X + V + I |
| MCMXXVII | 1927 | M + CM + X + X + V + I + I |
| MCMXXVIII | 1928 | M + CM + X + X + V + I + I + I |
| MCMXXIX | 1929 | M + CM + X + X + IX |
Common Mistakes and How to Avoid Them in MCMXX 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 DD as 1000 is incorrect, the correct answer is M.
MCMXX Roman Numerals Examples
Problem 1
Decode the Roman numeral MCMXX to its decimal form.
MCMXX in decimal form is 1920.
Explanation
Break down MCMXX into components:
M = 1000
CM = 900 (1000 - 100)
XX = 20 (10 + 10)
Add values: 1000 + 900 + 20 = 1920
Problem 2
What is the Roman numeral representation of the year 1920?
The year 1920 is represented as MCMXX in Roman numerals.
Explanation
Break down the number 1920:
1000 (M)
900 (CM) = 1000 - 100
20 (XX) = 10 + 10
Combine to form MCMXX
Problem 3
If MCMXX is divided by XL, what is the quotient in Roman numerals?
The quotient is XLVIII.
Explanation
Convert MCMXX and XL into decimal form:
MCMXX = 1920
XL = 40
Divide 1920 by 40: 1920 / 40 = 48
Convert 48 into Roman numerals: 40 (XL) + 8 (VIII) = XLVIII
Problem 4
Add MCMXX and DLX and express the sum in Roman numerals.
The sum is MMCMLXX.
Explanation
Convert MCMXX and DLX into decimal form:
MCMXX = 1920
DLX = 560
Add the numbers: 1920 + 560 = 2480
Convert 2480 into Roman numerals: 2000 (MM) + 400 (CD) + 80 (LXXX) = MMCMLXX
Problem 5
Subtract CCCXX from MCMXX in Roman numerals.
The result of the subtraction is MD.
Explanation
Convert MCMXX and CCCXX into decimal form:
MCMXX = 1920
CCCXX = 320
Subtract the numbers: 1920 - 320 = 1600
Convert 1600 into Roman numerals: 1000 (M) + 600 (DC) = MDC
FAQs on MCMXX in Roman Numerals
1.What is CXX in Roman numerals?
2.Is MCMXX a prime number?
3.What is MCMXX + MCMXX?
4.What is MMXX?
5.Subtract M from MCMXX
6.How can children in India use numbers in everyday life to understand MCMXX Roman Numerals?
7.What are some fun ways kids in India can practice MCMXX Roman Numerals with numbers?
8.What role do numbers and MCMXX Roman Numerals play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve MCMXX Roman Numerals skills?
Important Glossaries for MCMXX in Roman Numerals
- Subtraction Rule: The method by which a smaller numeral is placed before a larger numeral to indicate subtraction. For instance, CM is used for 900 instead of DCCCC.
- Place Value: The position of a digit in a number, determining its value. For example, the number 9 in 1920 is in the hundred's place.
- Addition Method: The process of adding numerals when a larger numeral is followed by a smaller numeral.
- Limitation Rule: Certain symbols in Roman numerals, like V, L, and D, cannot be repeated.
- Grouping Method: A method of breaking down complex Roman numerals into smaller groups for easier calculation.
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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.
