Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols we use. Roman numerals are used in royal titles, book names, sequences, and so on. Here we will discuss Roman numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, use Roman numerals. Have you noticed these names and wondered what the symbols (I and II) represent?
Those are Roman numerals. In ancient times, people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required. Ancient Romans used the Roman numeral system to count. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used to count.
In Roman numerals, we use CLII to represent 152, where C is 100, L is 50, and II is 2. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules for writing a number in Roman numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman numerals.
The addition method is used when the smaller number is placed after the larger number. For example, CLII → C + L + I + I → 100 + 50 + 1 + 1 = 152.
To write a larger number, certain Roman numerals can be repeated up to three times. For example, III → 3.
If a smaller number is followed by a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, IX → X - I → 10 - 1 = 9.
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X, and 8 is written as VIII, not IIIIIIII.
Let’s now learn how to write 152 in Roman numerals. Follow these methods to write the number in Roman numerals.
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 152 in Roman numerals using the expansion method.
To write 152 in Roman numerals, follow these steps:
Step 1: Break the number based on place value: ones, tens, hundreds, etc.
For 152, we write it as 100 + 50 + 2.
Step 2: Convert the numbers into Roman numerals:
100 in Roman numerals — C
50 in Roman numerals — L
2 in Roman numerals — II
Step 3: Combine the Roman numerals together:
Therefore, 152 in Roman numerals is C (100) + L (50) + II (2) = CLII.
When writing a large number into Roman numerals, we group the number. To write 152 in Roman numerals, we group 152 as 100 + 50 + 2.
100 in Roman numerals — C
50 in Roman numerals — L
2 in Roman numerals — II
So, 152 is written as CLII in Roman numerals.
Students make mistakes when writing numbers in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.
A philosopher is pondering the sum of CLII and XLIV. What is the result in Roman numerals?
The sum of CLII and XLIV is CXCVII.
- CLII = 152
- XLIV = 44
- 152 + 44 = 196
- 196 in Roman numerals is CXCVII.
An architect is designing a building with CLII floors and wants to divide them equally among VIII towers. How many floors will each tower have?
Each tower will have XIX floors.
- Divide the total floors by the number of towers: CLII / VIII
- CLII = 152
- VIII = 8
- 152 / 8 = 19
- 19 in Roman numerals is XIX.
Find the product of XIII and XII in Roman numerals.
The product of XIII and XII is CLVI.
- XIII = 13
- XII = 12
- 13 × 12 = 156
- 156 in Roman numerals is CLVI.
A historian is examining the difference between CLII and XCVI. What is the difference in Roman numerals?
The difference between CLII and XCVI is LVI.
- CLII = 152
- XCVI = 96
- 152 - 96 = 56
- 56 in Roman numerals is LVI.
Write the Roman Numeral for 152 + 57 using the expansion method.
The Roman numeral for 152 + 57 is CCIX.
Step 1: Convert the numbers 152 and 57 into Roman numerals.
152 = CLII
57 = LVII
Add the numbers together: 152 + 57 = 209
Using the expansion method: 209 = 200 + 9 = CCIX.
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.
: She loves to read number jokes and games.