139 LearnersLast updated on May 26th, 2025
343 in Roman Numerals
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 often used in royal titles, book names, sequences, and more. Here we will be discussing Roman Numerals, rules, and examples.
What is 343 in Roman Numerals?
Royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Have you ever noticed these names and wondered what these symbols (I and II) represent? Those are Roman Numerals. Earlier people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was needed. Ancient Romans used 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 CCCXLIII to represent 343. Here, CCC is 300, XL is 40, and III is 3. Let’s learn more about Roman numerals and how we write them.
Basic Rules for 343 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 a smaller number is placed after a larger number. For example, VI → V + I → 5 + 1 = 6
Rule 2: Repetition Method
To represent larger numbers, certain Roman Numerals can be repeated. For example, III → 3.
Rule 3: Subtraction Method
If a smaller number is placed before a larger number, it is subtracted. For example, IX → X - I → 10 - 1 = 9
Rule 4: Limitation Rule
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 we write 8 as VIII, not IIIIIIII.
How to Write 343 in Roman Numerals
Let’s now learn how to write 343 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
- By Expansion Method
- By Grouping Method
343 in Roman Numeral 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 343 in Roman numerals using the expansion method.
To write 343 in Roman Numerals, follow the steps:
Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc.
For 343, we write it as 300 + 40 + 3.
Step 2: Convert each part into Roman Numerals:
- 300 in Roman Numerals — CCC
- 40 in Roman Numerals — XL
- 3 in Roman Numerals — III
Step 3: Combine the Roman Numerals together:
Therefore, 343 in Roman Numerals is CCC + XL + III = CCCXLIII
343 in Roman Numeral by Grouping Method
When writing a large number in Roman Numerals, we group the number.
To write 343 in Roman Numerals, we group 343 as 300 + 40 + 3:
- 300 in Roman Numerals — CCC
- 40 in Roman Numerals — XL
- 3 in Roman Numerals — III
So, 343 is written as CCCXLIII in Roman Numerals.
Numbers Related to 343 in Roman Numerals
Roman Numerals follow a certain pattern, giving them a similar appearance. In this section, we will learn some numbers related to the Roman numeral 343:
- CCCXL = 340
- CCCXLI = 341
- CCCXLII = 342
- CCCXLIII = 343
- CCCXLIV = 344
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 340 | CCCXL | 300 + 40 = 340 |
| 341 | CCCXLI | 300 + 40 + 1 = 341 |
| 342 | CCCXLII | 300 + 40 + 2 = 342 |
| 343 | CCCXLIII | 300 + 40 + 3 = 343 |
| 344 | CCCXLIV | 300 + 40 + 4 = 344 |
Common Mistakes and How to Avoid Them in 343 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.
Mistake 1
Errors in repetition method
The repetition method can be confusing for beginners as it states that Roman Numerals cannot be repeated more than three times. In contrast, some symbols like V, L, and D cannot be repeated.
343 in Roman Numerals Examples
Problem 1
A historian discovers a scroll mentioning the birth of a ruler in the year CCCXLIII. If the ruler reigned for XL years, in what year did their reign end?
Their reign ended in the year CCCLXXXIII.
Explanation
The birth year is CCCXLIII, which is 343. The reign lasted for 40 years, represented as XL in Roman numerals. Therefore, the ending year is 343 + 40 = 383, which can be written in Roman numerals as CCCLXXXIII.
Problem 2
An ancient merchant recorded his profits over the years. In one particular year, he noted profits of CCCXLIII denarii. If he invested CC denarii and spent LXXXIII on expenses, how much did he have left?
He had LX denarii left.
Explanation
The total profit was CCCXLIII (343). He invested CC (200) and spent LXXXIII (83) on expenses. The remaining amount is 343 - 200 - 83 = 60. In Roman numerals, 60 is written as LX.
Problem 3
A mathematician is given the task of finding the sum of CCCXLIII and LXXVII. What is the resulting sum in Roman numerals?
The sum of CCCXLIII and LXXVII is CCCCXX.
Explanation
To find the sum, convert and add the numbers:
CCCXLIII = 343, LXXVII = 77
343 + 77 = 420
420 in Roman numerals is CCCCXX.
Problem 4
A king decided to divide his treasure of CCCXLIII gold coins among his XII trusted advisors. How many coins does each advisor receive?
Each advisor receives XXVIII coins.
Explanation
To distribute the coins, divide the total number of coins by the number of advisors:
CCCXLIII = 343, XII = 12
343 / 12 = 28 with a remainder
28 in Roman numerals is XXVIII.
Problem 5
A poet wrote a book in the year CCCXLIII. Years later, in the year CCCXCIII, a critic reviewed it. Calculate the number of years between the book's publication and the review.
The number of years between the publication and the review is L.
Explanation
The publication year is CCCXLIII (343), and the review year is CCCXCIII (393). The difference is 393 - 343 = 50. In Roman numerals, 50 is written as L.
FAQs on 343 in Roman Numerals
1.What is 9 in Roman numerals?
2.How to write 343 in Roman numerals?
3.What is 16 in Roman Numerals?
4.Is CCCXLIII a prime number?
5.What are the multiples of 343?
Important Glossaries for 343 in Roman Numerals
- Addition rule: The addition method is used when a larger number is followed by a smaller numeral, and the values are added. For example, VI = V + I = 5 + 1 = 6.
- Grouping method: Numbers are grouped based on place value, and each group is converted into Roman Numerals. For example, 343 = 300 + 40 + 3 = CCCXLIII.
- Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated up to three times. For example, III = 3 (I is repeated three times to represent the number 3).
- Subtraction rule: The subtraction method is used when a smaller numeral precedes a larger numeral. For example, IX = X - I = 10 - 1 = 9.
- Limitation rule: Some symbols, like V, L, and D, cannot be repeated. Also, symbols cannot be repeated more than three times.
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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.
