158 LearnersLast updated on May 26th, 2025
MDCCCXCVIII 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 MDCCCXCVIII.
What is MDCCCXCVIII 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. MDCCCXCVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. MDCCCXCVIII = 1898.
Let us learn more about the Roman numeral MDCCCXCVIII, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for MDCCCXCVIII 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 MDCCCXCVIII in Roman Numerals?
Let us learn about how to write MDCCCXCVIII in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
MDCCCXCVIII 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 MDCCCXCVIII,
Step 1: First we break the Roman numerals. MDCCCXCVIII = M + D + C + C + C + XC + V + I + I + I
Step 2: Write the Roman Numerals for each part
The Roman Numeral M is 1000
The Roman Numeral D is 500
The Roman Numeral C is 100
The Roman Numeral XC is 90
The Roman Numeral V is 5
The Roman Numeral I is 1
Step 3: Combine all the numbers M + D + C + C + C + XC + V + I + I + I = 1000 + 500 + 100 + 100 + 100 + 90 + 5 + 1 + 1 + 1 = 1898. Therefore, the Roman Numeral MDCCCXCVIII is 1898.
MDCCCXCVIII 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 MDCCCXCVIII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, DCCC, XC, and VIII. The numeral for M is 1000 The numeral for DCCC is 800
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add XC (90) and VIII (8) to M and DCCC, and we will get MDCCCXCVIII. Therefore, the numeral of MDCCCXCVIII is 1898.
Numbers Related to MDCCCXCVIII 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 MDCCCXCVIII:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| MDCCCXCIV | 1894 | M + D + C + C + C + XC + IV |
| MDCCCXCV | 1895 | M + D + C + C + C + XC + V |
| MDCCCXCVI | 1896 | M + D + C + C + C + XC + VI |
| MDCCCXCVII | 1897 | M + D + C + C + C + XC + VII |
| MDCCCXCVIII | 1898 | M + D + C + C + C + XC + VIII |
| MDCCCXCIX | 1899 | M + D + C + C + C + XC + IX |
| MCM | 1900 | M + CM |
| MCMI | 1901 | M + CM + I |
| MCMII | 1902 | M + CM + II |
| MCMIII | 1903 | M + CM + III |
Common Mistakes and How to Avoid Them in MDCCCXCVIII 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 is 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 MDCCCXC (1890) and forgetting VIII (8) for 1898. Recheck steps once done during any arithmetic operation.
MDCCCXCVIII Roman Numerals Examples
Problem 1
Translate MDCCCXCVIII into its decimal form.
In decimal form, MDCCCXCVIII is 1898.
Explanation
Break down MDCCCXCVIII into components:
M = 1000
D = 500
CCC = 300 (C + C + C)
XC = 90 (100 - 10)
VIII = 8 (V + III)
Add the values: 1000 + 500 + 300 + 90 + 8 = 1898
Problem 2
What is the result of adding MDCCCXCVIII and CII in Roman numerals?
The sum is MM.
Explanation
Convert MDCCCXCVIII and CII into decimal form:
MDCCCXCVIII = 1898
CII = 102
Add the numbers: 1898 + 102 = 2000
Convert 2000 into Roman numerals: 2000 = MM
Problem 3
Subtract DCCCLXXVIII from MDCCCXCVIII and write the answer in Roman numerals.
The difference is MXC.
Explanation
Convert MDCCCXCVIII and DCCCLXXVIII into decimal form:
MDCCCXCVIII = 1898
DCCCLXXVIII = 878
Subtract the numbers: 1898 - 878 = 1020
Convert 1020 into Roman numerals: 1020 = M (1000) + XX (20) = MXC
Problem 4
Multiply MDCCCXCVIII by II and write the result in Roman numerals.
MMMDCXCVI is the product.
Explanation
Convert MDCCCXCVIII into decimal form:
MDCCCXCVIII = 1898
Multiply by 2: 1898 × 2 = 3796
Convert 3796 into Roman numerals: 3000 (MMM) + 700 (DCC) + 90 (XC) + 6 (VI) = MMMDCXCVI
Problem 5
Divide MDCCCXCVIII by II and write the result in Roman numerals.
The result is CMXLIX.
Explanation
Convert MDCCCXCVIII into decimal form:
MDCCCXCVIII = 1898
Divide by 2: 1898 ÷ 2 = 949
Convert 949 into Roman numerals: 900 (CM) + 40 (XL) + 9 (IX) = CMXLIX
FAQs on MDCCCXCVIII in Roman Numerals
1.What is DCCC in Roman numerals?
2.Is MDCCCXCVIII a prime number?
3.What is MDCCCXCVIII + II?
4.What is MCMII?
5.Subtract XC from MDCCCXCVIII
6.How can children in United States use numbers in everyday life to understand MDCCCXCVIII in Roman Numerals?
7.What are some fun ways kids in United States can practice MDCCCXCVIII in Roman Numerals with numbers?
8.What role do numbers and MDCCCXCVIII in Roman Numerals play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve MDCCCXCVIII in Roman Numerals skills?
Important Glossaries for MDCCCXCVIII in Roman Numerals
- Subtraction Method: Used when a smaller numeral precedes a larger numeral, indicating that the smaller value should be subtracted from the larger value. For example, IV (4) is 5 - 1.
- Limitation Rule: Some symbols cannot be repeated more than once (V, L, D). For example, LVV for 60 is wrong; the correct answer is LX.
- Expansion Method: A method of breaking Roman numerals into parts and converting them into numbers for easier calculation.
- Grouping Method: A technique to group Roman numerals logically to simplify the writing or conversion process.
- Place Value: The position of a numeral in a sequence that determines its value, such as M (1000), C (100), etc.
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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.
