121 LearnersLast updated on May 26th, 2025
CXCvii 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 CXCvii.
What is CXCvii 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. CXCvii in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. CXCvii = 197.
Let us learn more about the Roman numeral CXCvii, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for CXCvii 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 CXCvii in Roman Numerals?
Let us learn about how to write CXCvii in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
CXCvii 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 CXCvii,
Step 1: First we break the Roman numerals. CXCvii = C + XC + V + I + I
Step 2: Write the Roman Numerals for each part
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 C + XC + V + I + I = 100 + 90 + 5 + 1 + 1 = 197. Therefore, the Roman Numeral CXCvii is 197.
CXCvii 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 CXCvii.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are C and XC and vii. The numeral for C is 100 The numeral for XC is 90 The numeral for vii is 7
Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add XC and vii to C and we will get CXCvii. The Roman numeral vii is 7 Therefore, the numeral of CXCvii is 197.
Numbers Related to CXCvii 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 CXCvii:
Common Mistakes and How to Avoid Them in CXCvii 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, IC for 99 is incorrect, the correct answer is XCIX.
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 CXC (190) and forgetting VII (7) for 197. Recheck steps once done during any arithmetic operation.
CXCVI in Roman Numerals Examples
Problem 1
If a Roman soldier receives CXCVI gold coins and gives away XLII coins, how many coins does he have left? Write the answer in Roman numerals.
The soldier has CLIV coins left.
Explanation
Convert both Roman numerals into their decimal form:
CXCVI = 196
XLII = 42
Now subtract the numbers: 196 - 42 = 154
Convert 154 into its Roman numeral: 154 = 100 (C) + 50 (L) + 4 (IV) = CLIV
Problem 2
A Roman architect designed two columns with heights of CXCVI and LXXIII units. What is the total height of the columns? Write the answer in Roman numerals.
The total height is CCLXIX.
Explanation
Convert the Roman numerals into their decimal form:
CXCVI = 196
LXXIII = 73
Add the numbers: 196 + 73 = 269
Convert 269 into its Roman numeral: 269 = 200 (CC) + 60 (LX) + 9 (IX) = CCLXIX
Problem 3
A merchant had CXCVI barrels of wine. He sold half of them. How many barrels does he have left? Write the answer in Roman numerals.
The merchant has XCVIII barrels left.
Explanation
Convert CXCVI into its decimal form:
CXCVI = 196
Divide by 2: 196 / 2 = 98
Write 98 in Roman numerals: 98 = 90 (XC) + 8 (VIII) = XCVIII
Problem 4
A historian found an ancient document mentioning a fleet of CXCVI ships. If each ship had L sailors, how many sailors were there in total? Write the answer in Roman numerals.
There were IXDCCC sailors in total.
Explanation
Convert CXCVI and L into decimal form:
CXCVI = 196
L = 50
Multiply the numbers: 196 × 50 = 9800
Convert 9800 into its Roman numerals: 9000 (IX) + 800 (DCCC) = IXDCCC
Problem 5
Convert CXCVI into its decimal form.
In decimal form, CXCVI is 196.
Explanation
Break CXCVI into components:
C = 100
XC = 90
VI = 6
Add the values: 100 + 90 + 6 = 196
FAQs on CXCvii in Roman Numerals
1.What is XC in Roman numerals?
2.Is CXCvii a prime number?
3.What is CXCvii + CXCvii?
4.What is CC?
5.Subtract VII from CXCvii
6.How can children in Philippines use numbers in everyday life to understand CXCvii in Roman Numerals?
7.What are some fun ways kids in Philippines can practice CXCvii in Roman Numerals with numbers?
8.What role do numbers and CXCvii in Roman Numerals play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve CXCvii in Roman Numerals skills?
Important Glossaries for CXCvii in Roman Numerals
- Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, VV for 10 is wrong, the correct answer is X.
- Subtraction Rule: When a smaller numeral precedes a larger numeral, it is subtracted. For example, IV is 4 (5 - 1).
- Place Value: The position of a digit in a number, this position determines its value. For example, the number 1 in 197 is in the hundred's place.
- Grouping Method: A method of combining Roman numerals into logical groups to simplify addition and subtraction.
- Composite Number: A number that has more than two factors is called a composite number. For example, 197 is not a composite number, but 198 is.
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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.
