748 in Roman Numerals
2026-02-28 11:00 Diff
https://brightchamps.com/en-us/math/numbers/748-in-roman-numerals

261 Learners

Last updated on August 5, 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.

What is 748 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on, often use Roman numerals. Have you ever noticed the names and wondered what these symbols (I and II) represented? Those are Roman numerals. In ancient times, people used to count using fingers, sticks, bones, etc. As life became more complex, a standard form was required to count.

Ancient Romans developed the Roman numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count. In Roman numerals, we use DCCXLVIII to represent 748, where D is 500, CC is 200, XL is 40, and VIII is 8.

Let’s learn more about Roman numerals and how we write them.

Basic Rules for 748 in Roman Numerals

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.

Rule 1: Addition Method

The addition method is used when the smaller number is placed after the larger number. For example, VIII → V + I + I + I → 5 + 1 + 1 + 1 = 8.

Rule 2: Repetition Method

To write a large number, certain Roman numerals can be repeated up to three times. For example, CCC → 300.

Rule 3: Subtraction Method

If a small number precedes a large number in Roman numerals, we subtract the smaller number from the large number. For example, XL → L - X → 50 - 10 = 40.

Rule 4: Limitation Rule

The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, 10 is written as X, not VV, and 8 is written as VIII, not IIIIIIII.

How to Write 748 in Roman Numerals

Let’s now learn how to write 748 in Roman numerals. Follow these methods to write the number in Roman numerals.

  • By Expansion Method
  • By Grouping Method

Explore Our Programs

748 in Roman Numerals by Expansion Method

In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 748 in Roman numerals using the expansion method. To write 748 in Roman numerals, follow these steps:

Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc. For 748, we write it as 700 + 40 + 8.

Step 2: Converting the number into Roman numerals:

  • 700 in Roman numerals - DCC 
     
  • 40 in Roman numerals - XL
     
  • 8 in Roman numerals - VIII
     

Step 3: Combine the Roman numerals together. Therefore, 748 in Roman numerals is DCC (700) + XL (40) + VIII (8) = DCCXLVIII.

748 in Roman Numerals by Grouping Method

When writing a large number in Roman numerals, we group the numbers. To write 748 in Roman numerals, we group 748 as 700 + 40 + 8.

  • 700 in Roman numerals - DCC
     
  • 40 in Roman numerals - XL
     
  • 8 in Roman numerals - VIII

So, 748 is written as DCCXLVIII in Roman numerals.

Common Mistakes and How to Avoid Them in 748 Roman Numerals

Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.

Problem 1

A historian finds an ancient artifact dated DCCXLVII years before the founding of a city. If the city was founded in the year MMXXIII, in what year was the artifact dated?

Okay, lets begin

The artifact was dated in the year MCCCLXXVI.

Explanation

To find the year the artifact was dated, we subtract the number of years before the city's founding from the founding year.

DCCXLVII = 747

2023 - 747 = 1276

1276 in Roman numerals is MCCCLXXVI.

Well explained 👍

Problem 2

A library has a collection of DCCXLVII ancient scrolls, but XXXI have been damaged beyond repair. How many scrolls remain intact?

Okay, lets begin

DCCXVI scrolls remain intact.

Explanation

To find the number of intact scrolls, subtract the damaged scrolls from the total.

DCCXLVII = 747

XXXI = 31

747 - 31 = 716

716 in Roman numerals is DCCXVI.

Well explained 👍

Problem 3

A collector buys a rare coin for DCCXLVII dollars and sells it for DCCC dollars. What is the profit made on the sale?

Okay, lets begin

The profit made is LIII dollars.

Explanation

To find the profit, subtract the purchase price from the selling price.

DCCXLVII = 747

DCCC = 800

800 - 747 = 53

53 in Roman numerals is LIII.

Well explained 👍

Problem 4

Convert the sum of CCCLXII and DCCXLVII into Roman numerals.

Okay, lets begin

The sum of CCCLXII and DCCXLVII is MCIX.

Explanation

Add the two numbers together.

CCCLXII = 362

DCCXLVII = 747

362 + 747 = 1109

1109 in Roman numerals is MCIX.

Well explained 👍

Problem 5

A marathon runner completes DCCXLVII laps over several days. If she runs LV laps each day, how many days does it take to complete the marathon?

Okay, lets begin

It takes XIV days to complete the marathon.

Explanation

To find the number of days, divide the total laps by laps per day.

DCCXLVII = 747

LV = 55

747 ÷ 55 = 13.58, which rounds up to 14 days 14 in Roman numerals is XIV.

Well explained 👍

FAQs on 748 in Roman Numerals

1.What is 9 in Roman numerals?

IX is 9, as it uses the subtraction method with smaller numbers preceding larger ones. That is X - I, which is 10 - 1 = 9.

2.How to write 748 in Roman numerals?

Here, larger numbers are followed by smaller ones, so we use the addition method. That is DCC (700) + XL (40) + VIII (8) = 748. So, DCCXLVIII is 748.

3.What is 16 in Roman Numerals?

16 in Roman numerals is written as XVI.

4.Is DCCXLVIII a prime number?

No, DCCXLVIII is not a prime number. 748 can be factored as 2 × 2 × 11 × 17.

5.What are the multiples of 748?

The multiples of 748 are 748, 1496, 2244, 2992, and so on.

Important Glossaries for 748 in Roman Numerals

  • Addition Rule: The addition method is used when a large number is followed by a smaller numeral, and their values are added. For example, DCCXLVIII = DCC + XL + VIII = 700 + 40 + 8 = 748.
     
  • Grouping Method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 748 = 700 + 40 + 8 = DCCXLVIII.
     
  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, CCC = 300 (C is repeated three times to represent the number 300).
     
  • Subtraction Rule: The subtraction method is used when a smaller numeral precedes a larger numeral. For example, XL = 50 - 10 = 40.
     
  • Limitation Rule: Some symbols like V, L, and D cannot be repeated. For example, 10 is written as X, not VV, and 500 is written as D, not CCCCL.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.