964 in Roman Numerals
2026-02-28 01:13 Diff
https://brightchamps.com/en-us/math/numbers/964-in-roman-numerals

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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 more. Here we will be discussing Roman numerals, rules, and examples.

What is 964 in Roman Numerals?

Royal titles, such as Henry I, Henry II, and so on, feature Roman numerals. Have you noticed these symbols (like I and II) and wondered what they 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.

In Roman numerals, we use CMLXIV to represent 964, where CM is 900, LX is 60, and IV is 4. Let’s learn more about Roman numerals and how we write them.

Basic Rules for 964 in Roman Numerals

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.

Rule 1: Addition Method

The addition method is used when a smaller number is placed after a larger number. For example, XI → X + I → 10 + 1 = 11.

Rule 2: Repetition Method

To write a large number, certain Roman numerals can be repeated up to three times. For example, III → 3.

Rule 3: Subtraction Method

If a small number precedes a larger number in Roman numerals, we subtract the smaller number from the larger number. 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 don't write VV for 10; instead, we use X.

How to Write 964 in Roman Numerals

Let’s learn how to write 964 in Roman numerals. Follow these methods to write the number in Roman numerals.

  • By Expansion Method
  • By Grouping Method

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964 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 964 in Roman numerals using the expansion method.

To write 964 in Roman numerals, follow the steps:

Step 1: Break the number based on place value: hundreds, tens, and ones. For 964, we write it as 900 + 60 + 4.

Step 2: Convert the numbers into Roman numerals.

  • 900 in Roman numerals - CM
     
  • 60 in Roman numerals - LX
     
  • 4 in Roman numerals - IV

Step 3: Combine the Roman numerals together. Therefore, 964 in Roman numerals is CM (900) + LX (60) + IV (4) = CMLXIV.

964 in Roman Numeral by Grouping Method

When writing a large number in Roman numerals, we group the number. To write 964 in Roman numerals, we group 964 as 900 + 60 + 4.

  • 900 in Roman numerals - CM
     
  • 60 in Roman numerals - LX
     
  • 4 in Roman numerals - IV

So, 964 is written as CMLXIV in Roman numerals.

Common Mistakes and How to Avoid Them in 964 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.

Problem 1

Calculate the sum of CMLXIV and XXXVI.

Okay, lets begin

The sum of CMLXIV and XXXVI is M.

Explanation

CMLXIV is 964 and XXXVI is 36.

Adding these gives 964 + 36 = 1000.

1000 in Roman Numerals is M.

Well explained 👍

Problem 2

A historian discovers a document that mentions CMLXIV soldiers were sent into battle. If each legion consisted of CX soldiers, how many legions were there?

Okay, lets begin

There are VIII legions.

Explanation

To find the number of legions, divide the total number of soldiers by the number of soldiers in each legion.

CMLXIV = 964

CX = 110

964 / 110 = 8.7636, which rounds down to 8 full legions, or VIII in Roman numerals.

Well explained 👍

Problem 3

A treasure chest contains CMLXIV gold coins. If a pirate crew of XLVIII members divides the coins equally, how many coins does each pirate receive?

Okay, lets begin

Each pirate receives XX coins.

Explanation

To find the number of coins each pirate receives, divide the total coins by the number of crew members.

CMLXIV = 964

XLVIII = 48

964 / 48 = 20.0833, so each pirate receives 20 full coins, which is XX in Roman numerals.

Well explained 👍

Problem 4

A marathon race covers a distance of CMLXIV miles, but a runner only completes DCC miles. How many miles did the runner not complete?

Okay, lets begin

The runner did not complete CCXLIV miles.

Explanation

The difference between the total distance and the distance completed is the number of miles not completed.

CMLXIV = 964

DCC = 700

964 - 700 = 264

264 in Roman Numerals is CCXLIV.

Well explained 👍

Problem 5

Convert the total number of CMLXIV days into Roman numerals after adding LXXXIV days to it.

Okay, lets begin

The total number of days in Roman numerals is MLXVIII.

Explanation

Step 1: Convert the numbers into Roman numerals CMLXIV = 964 LXXXIV = 84

Step 2: Add the numbers 964 + 84 = 1048

Step 3: Convert 1048 into Roman numerals: 1048 = 1000 + 40 + 8 = MLXVIII.

Well explained 👍

FAQs on 964 in Roman Numerals

1.What is 900 in Roman numerals?

CM is 900, as it uses the subtraction method: C (100) precedes M (1000), so we subtract 100 from 1000 to get 900.

2.How to write 964 in Roman numerals?

Here, numbers are grouped and converted as follows: CM (900) + LX (60) + IV (4) = CMLXIV. So, 964 is written as CMLXIV.

3.What is 60 in Roman Numerals?

60 in Roman Numerals is written as LX.

4.Is CMLXIV a prime number?

5.What are the multiples of 964?

The multiples of 964 are 964, 1928, 2892, 3856, 4820, and so on.

Important Glossaries for 964 in Roman Numerals

  • Addition Rule: The addition method is used when a larger numeral is followed by a smaller numeral; the values are added.
  • Grouping Method: Here, numbers are grouped based on their place value and then converted into Roman numerals. For example, 964 = 900 + 60 + 4 = CMLXIV.
  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeral system can be repeated only up to three times.
  • Subtraction Rule: When a smaller numeral precedes a larger numeral, subtract the smaller value from the larger value.
  • Place Value: Understanding the place value helps break down numbers into hundreds, tens, and ones for conversion into Roman numerals.

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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.