156 LearnersLast updated on May 26th, 2025
CDLXVIII 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 CDLXVIII.
What is CDLXVIII 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. CDLXVIII in Roman numerals can be broken down by adding and subtracting the values of each Roman numeral: CDLXVIII = 468.
Let us learn more about the Roman numeral CDLXVIII, how we write it, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for CDLXVIII 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 smaller symbol precedes a larger 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 CDLXVIII in Roman Numerals?
Let us learn about how to write CDLXVIII in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
CDLXVIII 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 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 CDLXVIII,
Step 1: First we break the Roman numerals. CDLXVIII = C + D + L + X + V + I + I + I
Step 2: Write the Roman Numerals for each part The Roman Numeral C is 100 The Roman Numeral D is 500 The Roman Numeral L is 50 The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1
Step 3: Combine all the numbers C + D + L + X + V + I + I + I = 100 + 500 - 100 + 50 + 10 + 5 + 3 = 468. Therefore, the Roman Numeral CDLXVIII is 468.
CDLXVIII 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 CDLXVIII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are CD, LX, and VIII. The numeral for CD is 400
Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add LX to CD and then add VIII, and we will get CDLXVIII. The Roman numeral L is 50 and X is 10, making LX 60. The Roman numeral VIII is 8. Therefore, the numeral of CDLXVIII is 468.
Numbers Related to CDLXVIII 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 CDLXVIII:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| CDLXVIII | 468 | CD + L + X + V + I + I + I |
| CDLXIX | 469 | CD + L + X + IX |
| CDLXX | 470 | CD + L + X + X |
| CDLXXI | 471 | CD + L + X + X + I |
| CDLXXII | 472 | CD + L + X + X + II |
Common Mistakes and How to Avoid Them in CDLXVIII 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.
cdlxviii Roman Numerals Examples
Problem 1
What is the result when you add CDLXVIII to CXXVII? Write your answer in Roman numerals.
The sum is DXCV
Explanation
Convert both Roman numerals into their decimal form:
CDLXVIII = 468
CXXVII = 127
Now add both numbers: 468 + 127 = 595
Now convert the number into its Roman numeral: 595 = 500 (D) + 90 (XC) + 5 (V) = DXCV
Problem 2
Subtract CCXLIV from CDLXVIII and provide the result in Roman numerals.
The difference is CCXXIV
Explanation
Convert the Roman numerals into their decimal form:
CDLXVIII = 468
CCXLIV = 244
Now we subtract the numbers: 468 - 244 = 224
Convert the number into its Roman numeral: 224 = 200 (CC) + 20 (XX) + 4 (IV) = CCXXIV
Problem 3
Divide CDLXVIII by IV and write the answer in Roman numerals.
CXVII
Explanation
Convert CDLXVIII and IV into their decimal forms:
CDLXVIII = 468
IV = 4
Divide the numbers: 468 ÷ 4 = 117
Write 117 in Roman numerals: 117 = 100 (C) + 10 (X) + 7 (VII) = CXVII
Problem 4
Multiply CDLXVIII by III. Write the product in Roman numerals.
MCDIV is the product of CDLXVIII and III.
Explanation
Convert CDLXVIII and III into numbers:
CDLXVIII = 468
III = 3
Multiply the numbers: 468 × 3 = 1404
Convert 1404 into its Roman numerals: 1000 (M) + 400 (CD) + 4 (IV) = MCDIV
Problem 5
Convert CDLXVIII into its decimal form.
In decimal form, CDLXVIII is 468
Explanation
Break CDLXVIII into components:
CD = 400 (500 - 100)
LX = 60 (50 + 10)
VIII = 8 (5 + 3)
Add values: 400 + 60 + 8 = 468
FAQs on CDLXVIII in Roman Numerals
1.What is LXVIII in Roman numerals?
2.Is CDLXVIII a prime number?
3.What is CDLXVIII + CDLXVIII?
4.What is DXLVIII?
5.Subtract C from CDLXVIII
6.How can children in Vietnam use numbers in everyday life to understand CDLXVIII in Roman Numerals?
7.What are some fun ways kids in Vietnam can practice CDLXVIII in Roman Numerals with numbers?
8.What role do numbers and CDLXVIII in Roman Numerals play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve CDLXVIII in Roman Numerals skills?
Important Glossaries for CDLXVIII 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.
- Subtraction Method: The method of subtracting a smaller numeral that precedes a larger numeral, such as IV for 4.
- Place Value: The position of a digit in a number, this position determines its value. For example, the number 4 in 468 is in the hundreds place.
- Addition Method: The method of adding numerals where larger numerals precede smaller ones, such as VI for 6.
- Grouping Method: A way to break down and structure numerals using the addition and subtraction methods to simplify solving.
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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.
