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Last updated on February 25th, 2025

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972 in Roman Numerals

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Foundation
Intermediate
Advance Topics

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.

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What is 972 in Roman Numerals?

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

 

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 CMLXXII to represent 972. Here, CM is 900, L is 50, XX is 20, and II is 2.

 

Let’s learn more about Roman numerals and how we write them.972 in roman numerals

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Basic Rules for 972 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, VII → V + I + I → 5 + 1 + 1 = 7

 

Rule 2: Repetition Method

To write a large number, there are certain Roman numerals that can be repeated three times. XXX → 30.

 

Rule 3: Subtraction Method

If a small number is followed by a large number in Roman numerals, we subtract the smaller number from the large number. For example, IX → X - I → 10 - 1 = 9

 

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, we won't write VV for 10; instead, we use X, and 8 we write as VIII, not IIIIIIII.

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How to Write 972 in Roman Numerals

Let’s now learn how to write 972 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

  • By Expansion Method
  • By Grouping Method
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972 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 972 in Roman numerals using the expansion method. To write 972 in Roman numerals, follow the steps:

 

Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc. For 972, we write it as 900 + 70 + 2

 

Step 2: Convert the number into Roman numerals

  • 900 in Roman numeral - CM
     
  • 70 in Roman numeral - LXX
     
  • 2 in Roman numeral - II

 

Step 3: Combine the Roman numerals together. Therefore, 972 in Roman numeral is CM (900) + LXX (70) + II (2) = CMLXXII

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972 in Roman Numeral by Grouping Method

When writing a large number into Roman numerals, we group the number. To write 972 in Roman numeral, we group 972 as 900 + 70 + 2

  • 900 in Roman numeral - CM
     
  • 70 in Roman numeral - LXX
     
  • 2 in Roman numeral - II

So, 972 is written as CMLXXII in Roman numerals.

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Common Mistakes and How to Avoid Them in 972 Roman Numerals

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

Mistake 1

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Errors in Repetition Method

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The repetition method can be confusing for beginners, as it states that Roman numerals cannot be repeated more than three times. In contrast, some of the Roman numerals, such as V, L, and D, cannot be repeated.

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972 in Roman Numerals Examples

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Problem 1

A historian found DCCCXLII ancient coins and later discovered another CXXX. Find the total number of coins in Roman numerals.

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The total number of coins is CMLXXII.

Explanation

DCCCXLII equals 842 and CXXX equals 130. Adding these gives 842 + 130 = 972. Therefore, 972 in Roman numerals is CMLXXII.

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Problem 2

A library had 1944 books, and after donating half of them, how many books are left in Roman numerals?

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The number of books left is CMLXXII.

Explanation

Half of 1944 is 972. Therefore, after donating half, there are 972 books left. In Roman numerals, 972 is CMLXXII.

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Problem 3

A farmer harvested CMLXXII apples in one field and CM apples in another. How many more apples did the farmer harvest in the first field compared to the second?

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The farmer harvested LXXII more apples in the first field.

Explanation

CMLXXII is 972 and CM is 900. The difference is 972 - 900 = 72. In Roman numerals, 72 is LXXII.

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Problem 4

If a codebreaker deciphered CMLXXII and divided it by VI, what number would they get in Roman numerals?

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The result is CLXII.

Explanation

CMLXXII is 972 and VI is 6. Dividing gives 972 / 6 = 162. Therefore, 162 in Roman numerals is CLXII.

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Problem 5

Subtract CCCL from the sum of DCLXII and CCCLX in Roman numerals.

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The result is CMLXXII.

Explanation

DCLXII is 662 and CCCLX is 360. Their sum is 662 + 360 = 1022. Subtracting CCCL (350) gives 1022 - 350 = 972. In Roman numerals, 972 is CMLXXII.

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FAQs on 972 in Roman Numerals

1.What is 900 in Roman numerals?

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2.How to write 972 in Roman numerals?

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3.What is 1000 in Roman numerals?

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4.Is CMLXXII a prime number?

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5.What are the multiples of 972?

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Important Glossaries for 972 in Roman Numerals

  • Subtraction Rule: The subtraction method is used when a smaller numeral precedes a larger numeral, and their values are subtracted. For example, IV = V - I = 5 - 1 = 4.
     
  • Grouping Method: Here, the given numbers are grouped based on their place value, and then we convert each group into its Roman numerals. For example, 972 = 900 + 70 + 2 = CMLXXII.
     
  • Addition Rule: The addition method is used when a large numeral is followed by a smaller numeral, and their values are added. For example, XI = X + I = 10 + 1 = 11.
     
  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated up to three times. For example, XXX = 30 (X is repeated three times to represent the number 30).
     
  • Limitation Rule: V, L, and D cannot be repeated. For example, 10 is written as X, not VV.
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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.

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Fun Fact

: She loves to read number jokes and games.

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