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 be discussing Roman numerals, rules, and examples.
Have you ever come across royal titles, like Henry I, Henry II, and so on, and wondered about the meaning of the symbols (I and II)?
These are Roman numerals. In ancient times, people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was needed for counting, and the ancient Romans developed the Roman numeral system. The symbols used are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
In Roman numerals, we use DCCCXLVI to represent 846. Here, D is 500, CCC is 300, XL is 40, and VI is 6. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to write 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, VI → V + I → 5 + 1 = 6.
To write larger numbers, certain Roman numerals can be repeated up to three times. For example, CCC → 300.
If a smaller number precedes a larger number, we subtract the smaller number. For example, XL → L - X → 50 - 10 = 40.
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.
Let’s now learn how to write 846 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 846 in Roman numerals using the expansion method.
To write 846 in Roman Numerals, follow these steps:
Step 1: Break the number based on the place value: hundreds, tens, and ones. For 846, we write it as 800 + 40 + 6.
Step 2: Convert the numbers into Roman numerals:
800 in Roman Numerals — DCCC
40 in Roman Numerals — XL
6 in Roman Numerals — VI
Step 3: Combine the Roman numerals together:
Therefore, 846 in Roman Numerals is DCCC (800) + XL (40) + VI (6) = DCCCXLVI.
When writing a large number into Roman numerals, we group the numbers.
To write 846 in Roman numerals, we group 846 as 800 + 40 + 6:
800 in Roman Numerals — DCCC
40 in Roman Numerals — XL
6 in Roman Numerals — VI
So, 846 is written as DCCCXLVI in Roman numerals.
Students often make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn from a few common mistakes and the ways to avoid them.
Calculate the total cost of DCCCXLVI coins, each priced at I denarius.
The total cost is DCCCXLVI denarii.
Each coin costs I denarius, and there are DCCCXLVI coins.
Therefore, the total cost is DCCCXLVI × I = DCCCXLVI denarii.
A historian found a parchment with DCCCXLVI lines of text. If each page can hold CXXI lines, how many full pages can the parchment be split into?
The number of full pages is VII.
To find the number of full pages, divide the total lines by the number of lines per page:
DCCCXLVI / CXXI.
DCCCXLVI = 846
CXXI = 121
Therefore, 846 / 121 = 7, which is VII in Roman Numerals.
A merchant has DCCCXLVI apples and wants to pack them into boxes of X each. How many apples will be left after filling the boxes?
The number of apples left is VI.
To find the remaining apples, calculate the remainder of DCCCXLVI divided by X.
DCCCXLVI = 846
X = 10
846 divided by 10 equals 84 full boxes, with a remainder of 6.
Thus, 6 apples remain, which is VI in Roman Numerals.
If DCCCXLVI is increased by CLIV, what is the resulting Roman numeral?
The resulting Roman numeral is M.
Add DCCCXLVI and CLIV to find the total.
DCCCXLVI = 846
CLIV = 154
846 + 154 = 1000
1000 in Roman Numerals is M.
Translate the sum of CCCXCII and DCCCXLVI into Roman Numerals.
The Roman numeral for the sum is MCCXXXVIII.
First, convert CCCXCII and DCCCXLVI into numbers and add them together.
CCCXCII = 392
DCCCXLVI = 846
392 + 846 = 1238
1238 in Roman Numerals is MCCXXXVIII.
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.