117 LearnersLast updated on May 26th, 2025
CMLXVII 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 CMLXVII.
What is CMLXVII 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. CMLXVII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. CMLXVII = 967.
Let us learn more about the Roman numeral CMLXVII, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for CMLXVII 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 CMLXVII in Roman Numerals?
Let us learn about how to write CMLXVII in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
CMLXVII 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 CMLXVII,
Step 1: First we break the Roman numerals. CMLXVII = CM + LX + VII
Step 2: Write the Roman Numerals for each part The Roman Numeral CM is 900 The Roman Numeral LX is 60 The Roman Numeral VII is 7
Step 3: Combine all the numbers CM + LX + VII = 900 + 60 + 7 = 967. Therefore, the Roman Numeral CMLXVII is 967.
CMLXVII 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 CMLXVII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are CM, LX, and VII. The numeral for CM is 900 The numeral for LX is 60
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add VII to CM and LX and we will get CMLXVII. The Roman numeral VII is 7 Therefore, the numeral of CMLXVII is 967.
Numbers Related to CMLXVII 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 CMLXVII:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| C | 100 | C |
| CM | 900 | C + M |
| L | 50 | L |
| X | 10 | X |
| V | 5 | V |
| II | 2 | I + I |
| CMLXVII | 967 | CM + L + X + V + II |
Common Mistakes and How to Avoid Them in CMLXVII 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.
CMLXVII Roman Numerals Examples
Problem 1
Calculate the sum of CMLXVII + XXXIII. Write the answer in Roman numerals.
The sum is M.
Explanation
Convert both Roman numerals into their decimal form:
CMLXVII = 967
XXXIII = 33
Now add both numbers: 967 + 33 = 1000
Now convert the number into its Roman numeral. 1000 = M
Problem 2
What is the difference between M - CMLXVII? Write the answer in Roman numerals.
The difference is XXXIII.
Explanation
Convert the Roman numerals into their decimal form:
M = 1000
CMLXVII = 967
Now we subtract the numbers: 1000 - 967 = 33
Convert the number into its Roman numeral: 33 = 30 (XXX) + 3 (III) = XXXIII
Problem 3
Divide CMLXVII by 3 and write the answer in Roman numerals.
CCCXXII
Explanation
Convert CMLXVII into its decimal form:
CMLXVII = 967
Divide by 3: 967 / 3 = 322
Write 322 in Roman numerals: 300 (CCC) + 20 (XX) + 2 (II) = CCCXXII
Problem 4
Find the product of CMLXVII and II.
MCMXXXIV is the product of CMLXVII and II.
Explanation
Write CMLXVII and II in numbers:
CMLXVII = 967
II = 2
Multiply the numbers: 967 × 2 = 1934
Convert 1934 into its Roman numerals: 1000 (M) + 900 (CM) + 30 (XXX) + 4 (IV) = MCMXXXIV
Problem 5
Convert CMLXVII into its decimal form.
In decimal form, CMLXVII is 967.
Explanation
Break CMLXVII into components:
CM = 900 (1000 - 100)
L = 50
X = 10
VII = 7 (5 + 2)
Add values: 900 + 50 + 10 + 7 = 967
FAQs on CMLXVII in Roman Numerals
1.What is CLXVII in Roman numerals?
2.Is CMLXVII a prime number?
3.What is CMLXVII + CMLXVII?
4.What is DCLXVII?
5.Subtract LXVII from CMLXVII
6.How can children in United Arab Emirates use numbers in everyday life to understand CMLXVII in Roman Numerals?
7.What are some fun ways kids in United Arab Emirates can practice CMLXVII in Roman Numerals with numbers?
8.What role do numbers and CMLXVII in Roman Numerals play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve CMLXVII in Roman Numerals skills?
Important Glossaries for CMLXVII 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 967 is in the hundred's place.
- Subtraction Method: A method where a smaller numeral before a larger numeral indicates subtraction, as in IV for 4.
- Addition Method: A method where numerals are added together when ordered from larger to smaller, as in VI for 6.
- Roman Symbols: The seven symbols — I, V, X, L, C, D, and M — used to represent numbers in the Roman numeral system.
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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.
