133 LearnersLast updated on May 26th, 2025
CXVII 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 CXVII.
What is CXVII 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. CXVII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., CXVII = 117.
Let us learn more about the Roman numeral CXVII, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for CXVII 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 CXVII in Roman Numerals?
Let us learn about how to write CXVII in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
CXVII 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 CXVII,
Step 1: First, we break the Roman numerals. CXVII = C + X + V + I + I
Step 2: Write the Roman Numerals for each part. The Roman Numeral C is 100 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 + X + V + I + I = 100 + 10 + 5 + 1 + 1 = 117. Therefore, the Roman Numeral CXVII is 117.
CXVII 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 CXVII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are C, X, V, II. The numeral for C is 100
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add X, V, II to C, and we will get CXVII. The Roman numeral X is 10 The Roman numeral V is 5 The Roman numeral II is 2 Therefore, the numeral of CXVII is 117.
Numbers Related to CXVII 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 CXVII:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| C | 100 | C |
| CX | 110 | C + X |
| CXI | 111 | C + X + I |
| CXII | 112 | C + X + I + I |
| CXIII | 113 | C + X + I + I + I |
| CXIV | 114 | C + X + IV |
| CXV | 115 | C + X + V |
| CXVI | 116 | C + X + V + I |
| CXVII | 117 | C + X + V + I + I |
Common Mistakes and How to Avoid Them in CXVII 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.
CXVII Roman Numerals Examples
Problem 1
A Roman artifact inscribed with CXVII was discovered. How many years ago was it created if the current year is 2023?
The artifact was created 1906 years ago.
Explanation
Convert CXVII into its decimal form: CXVII = 117 Subtract the artifact's year from the current year: 2023 - 117 = 1906
Problem 2
Calculate the total time in Roman numerals if a race car completes 10 laps, with each lap taking XI minutes.
The total time is CLX minutes.
Explanation
Convert XI into its decimal form:
XI = 11
Multiply by the number of laps: 11 × 10 = 110
Convert 110 into Roman numerals: 100 (C) + 10 (X) = CX
Problem 3
A marathon takes place over a course of CXVII km. If a runner maintains a speed of IX km/h, how many hours will it take to complete the marathon? Write the time in Roman numerals.
It will take XIII hours.
Explanation
Convert CXVII into its decimal form:
CXVII = 117
Convert IX into its decimal form:
IX = 9
Divide the total distance by speed: 117 ÷ 9 = 13
Convert 13 into Roman numerals: 10 (X) + 3 (III) = XIII
Problem 4
A historian finds a document stating a battle occurred CXX years after the founding of Rome (traditionally 753 BC). What Roman numeral represents the year?
The year is DCLXXIII.
Explanation
Start with the founding year in BC: 753 BC
Add CXX (120) years: 753 - 120 = 633 BC
Convert 633 into Roman numerals: 600 (DC) + 30 (XXX) + 3 (III) = DCLXXIII
Problem 5
A museum display shows a sundial from the year CXVII AD. How many centuries old is it as of the year 2023?
The sundial is XIX centuries old.
Explanation
Convert CXVII into its decimal form:
CXVII = 117
Subtract the year of the sundial from 2023: 2023 - 117 = 1906
Convert 1906 into centuries: 1906 ÷ 100 = 19 (round down)
Convert 19 into Roman numerals: 10 (X) + 9 (IX) = XIX
FAQs on CXVII in Roman Numerals
1.What is CXVII in Roman numerals?
2.Is CXVII a prime number?
3.What is CXVII + CXVII?
4.What is CXXVII?
5.Subtract XVII from CXVII
6.How can children in United States use numbers in everyday life to understand CXVII in Roman Numerals?
7.What are some fun ways kids in United States can practice CXVII in Roman Numerals with numbers?
8.What role do numbers and CXVII 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 CXVII in Roman Numerals skills?
Important Glossaries for CXVII 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 7 in 117 is in the units place.
- Prime Number: A number that has only two factors, 1 and itself. For example, 13 is a prime number.
- Expansion Method: A way of breaking down Roman numerals into parts and converting them into numerals to get the final number.
- Grouping Method: A way of breaking Roman numerals into smaller groups to make it easier to work with them.
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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.
