BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon147 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

CXIV in Roman Numerals

Professor Greenline Explaining Math Concepts

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 CXIV.

CXIV in Roman Numerals for US Students
Professor Greenline from BrightChamps

What is CXIV 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. CXIV in Roman numerals can be written in number form by adding and subtracting the values of each Roman numeral, i.e., CXIV = 114.

 

Let us learn more about the Roman numeral CXIV, how we write it, the mistakes we usually make, and ways to avoid these mistakes.

cxiv roman numerals

Professor Greenline from BrightChamps

Basic Rules for CXIV 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.

Professor Greenline from BrightChamps

How to Write CXIV in Roman Numerals?

Let us learn about how to write CXIV in Roman numerals. There are two methods that we can use to write Roman numerals:

 

  • By Expansion Method
  • By Grouping Method
Professor Greenline from BrightChamps

CXIV 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 or subtracting 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 or subtract the numerals together.

 

For CXIV,

Step 1: First, we break the Roman numerals. CXIV = C + X + I - V

Step 2: Write the Roman Numerals for each part The Roman Numeral C is 100 The Roman Numeral X is 10 The Roman Numeral IV is 4

Step 3: Combine all the numbers C + X + IV = 100 + 10 + 4 = 114. Therefore, the Roman Numeral CXIV is 114.

Professor Greenline from BrightChamps

CXIV 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 CXIV.

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are C, X, and IV. 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 and IV to C, and we will get CXIV. The Roman numeral X is 10 The Roman numeral IV is 4 Therefore, the numeral of CXIV is 114.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in CXIV 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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Mistakes when applying the repetition method

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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.

Max from BrightChamps Saying "Hey"

CXIV in Roman Numerals Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

How do you express the sum of CXIV and LXX in Roman numerals?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The sum is CLXXXIV

Explanation

Convert both Roman numerals into their decimal form:

CXIV = 114

LXX = 70

Now add both numbers: 114 + 70 = 184

Now convert the number into its Roman numeral: 184 = 100 (C) + 50 (L) + 30 (XXX) + 4 (IV) = CLXXXIV

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

What is the difference between CXX and VI? Write in Roman numerals.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The difference is CXIV

Explanation

Convert the Roman numerals into their decimal form:

CXX = 120

VI = 6

Now subtract the numbers: 120 - 6 = 114

Convert the number into its Roman numeral: 114 = 100 (C) + 10 (X) + 4 (IV) = CXIV

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Divide CCXXVIII by 2 and write the answer in Roman numerals.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

CXIV

Explanation

Convert CCXXVIII into its decimal form:

CCXXVIII = 228

Divide by 2: 228 / 2 = 114

Write 114 in Roman numerals: 114 = 100 (C) + 10 (X) + 4 (IV) = CXIV

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

Find the product of CXIV and II.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

CCXXVIII is the product of CXIV and II.

Explanation

Write CXIV and II in numbers:

CXIV = 114

II = 2

Multiply the numbers: 114 × 2 = 228

Convert 228 into its Roman numerals: 200 (CC) + 20 (XX) + 8 (VIII) = CCXXVIII

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Convert CXIV into its decimal form.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

In decimal form, CXIV is 114

Explanation

Break CXIV into components:

C = 100

X = 10

IV = 4

Add values: 100 + 10 + 4 = 114

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on CXIV in Roman Numerals

1.What is XIV in Roman numerals?

Math FAQ Answers Dropdown Arrow

2.Is CXIV a prime number?

Math FAQ Answers Dropdown Arrow

3.What is CXIV + CXIV?

Math FAQ Answers Dropdown Arrow

4.What is CXXIV?

Math FAQ Answers Dropdown Arrow

5.Subtract XIV from CXIV

Math FAQ Answers Dropdown Arrow

6.How can children in United States use numbers in everyday life to understand CXIV in Roman Numerals?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice CXIV in Roman Numerals with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and CXIV in Roman Numerals play in helping children in United States develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in United States create number-rich environments to improve CXIV in Roman Numerals skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for CXIV in Roman Numerals

  • Addition Method: A method where numerals are added when a smaller numeral follows a larger one.

 

  • Subtraction Method: A method where a smaller numeral preceding a larger one indicates subtraction.

 

  • Repetition Rule: A rule stating that certain numerals can be repeated up to three times to increase value.

 

  • Grouping Method: A technique in Roman numerals to break down numbers into manageable parts for calculation.

 

  • Place Value: The value of a numeral based on its position in the sequence.
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom