187 LearnersLast updated on May 26th, 2025
987 in Roman Numerals
Roman numerals are a system of numerical notation used in ancient Rome, employing combinations of letters from the Latin alphabet: I, V, X, L, C, D, and M. Roman numerals are still used today in various contexts, such as in the names of monarchs, book chapters, and more. Here we will discuss Roman numerals, their rules, and examples.
What is 987 in Roman Numerals?
Roman numerals have been in use since the time of the ancient Romans. They provided a standard way for counting and recording numbers.
The symbols used are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). These symbols can be combined to represent any number. For example, 987 in Roman numerals is represented as CMLXXXVII, where CM is 900, LXXX is 80, and VII is 7.
Let's learn more about Roman numerals and how they are written.
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Basic Rules for 987 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
When a smaller numeral appears after a larger numeral, you add the values. For example, VII → V + II → 5 + 2 = 7
Rule 2: Repetition Method
Some Roman numerals can be repeated up to three times to form other numbers. For instance, III → 3.
Rule 3: Subtraction Method
When a smaller numeral appears before a larger numeral, you subtract the smaller value. For example, IX → X - I → 10 - 1 = 9
Rule 4: Limitation Rule
Roman numerals cannot be repeated more than three times in a row, and some numerals like V, L, and D cannot be repeated.
How to Write 987 in Roman Numerals
Let’s learn how to write 987 in Roman numerals using two methods:
- By Expansion Method
- By Grouping Method
987 in Roman Numeral by Expansion Method
In the expansion method, the number is broken down based on place value. Here is how to write 987 in Roman numerals using this method:
Step 1: Break down the number based on place value. 987 = 900 + 80 + 7
Step 2: Convert each number into Roman numerals.
- 900 in Roman numeral is CM
- 80 in Roman numeral is LXXX
- 7 in Roman numeral is VII
Step 3: Combine the Roman numerals. Therefore, 987 in Roman numerals is CM (900) + LXXX (80) + VII (7) = CMLXXXVII
987 in Roman Numeral by Grouping Method
When writing a large number in Roman numerals, we group the number: 987 can be grouped as 900 + 80 + 7
- 900 in Roman numeral - CM
- 80 in Roman numeral - LXXX
- 7 in Roman numeral - VII
So, 987 is written as CMLXXXVII in Roman numerals.
Numbers Related to 987 in Roman Numerals
Roman numerals follow a certain pattern, making them appear similar. In this section, we will learn some numbers related to the Roman numeral 987:
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 980 | CMLXXX | 900 + 80 = 980 |
| 981 | CMLXXXI | 900 + 80 + 1 = 981 |
| 982 | CMLXXXII | 900 + 80 + 2 = 982 |
| 983 | CMLXXXIII | 900 + 80 + 3 = 983 |
| 984 | CMLXXXIV | 900 + 80 + 4 = 984 |
| 985 | CMLXXXV | 900 + 80 + 5 = 985 |
| 986 | CMLXXXVI | 900 + 80 + 6 = 986 |
| 987 | CMLXXXVII | 900 + 80 + 7 = 987 |
| 988 | CMLXXXVIII | 900 + 80 + 8 = 988 |
| 989 | CMLXXXIX | 900 + 80 + 9 = 989 |
Common Mistakes and How to Avoid Them in 987 Roman Numerals
When writing numbers in Roman numerals, students often make mistakes. To master Roman numerals, it's helpful to learn about common mistakes and how to avoid them.
Mistake 1
Errors in repetition method
The repetition method can be confusing. Remember that certain Roman numerals cannot be repeated more than three times, and some numerals like V, L, and D cannot be repeated at all.
Mistake 2
Subtracting the wrong numerals
Sometimes numerals are subtracted incorrectly. The subtraction method is used when a smaller numeral appears before a larger one.
For example, writing IC for 99 is incorrect; it should be XCIX.
Mistake 3
Incorrect grouping
When writing numbers in Roman numerals, ensure correct grouping.
For instance, 987 should be grouped as 900 + 80 + 7, not as 1000 - 10 + 7.
Mistake 4
Confusing with Arabic and Roman Numerals
Students often confuse Arabic and Roman numerals. Arabic numerals are 1, 2, 3, etc., whereas Roman numerals use I, V, X, L, etc. Understanding these differences is crucial.
Mistake 5
Confusing subtraction and addition
Students sometimes mix up addition and subtraction methods. If a larger numeral follows a smaller one, add them; if a smaller numeral precedes a larger one, subtract.
For example, IV = 4 (5 - 1), whereas VI = 6 (5 + 1).
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987 in Roman Numerals Examples
Problem 1
A historian found two ancient coins with inscriptions DCCC and LXXXVII. Find the sum of the Roman numerals on these coins.
The sum of DCCC and LXXXVII is DCCCLXXXVII.
Explanation
DCCC = 800
LXXXVII = 87
The sum of DCCC and LXXXVII is 800 + 87 = 887.
887 in Roman Numerals can be written as DCCCLXXXVII.
Problem 2
An artisan crafted CMXCVI miniature sculptures and wants to distribute them equally among XII collectors. How many sculptures will each collector receive?
Each collector will receive LXXXII sculptures.
Explanation
To find the number of sculptures each collector gets, we divide the number of sculptures by the total number of collectors.
CMXCVI = 996
XII = 12
Therefore, CMXCVI / XII = 996 / 12 = 83. 83 in Roman numerals is LXXXII.
Problem 3
A collector has a set of scrolls numbered CDLXXV and DXII. What is the total number of scrolls in the collection?
The total number of scrolls in the collection is CMLXXXVII.
Explanation
CDLXXV = 475
DXII = 512
475 + 512 = 987
987 in Roman Numerals is CMLXXXVII.
Problem 4
A mathematician solved a puzzle and ended up with the difference between the Roman numerals M and DCCCXIII. What is the result in Roman numerals?
The difference is CLXXXVII.
Explanation
M = 1000
DCCCXIII = 813
The difference is 1000 - 813 = 187.
187 in Roman Numerals can be written as CLXXXVII.
Problem 5
Express the number 987 using the expansion method for Roman numerals.
The Roman numeral for 987 using the expansion method is CMLXXXVII.
Explanation
Step 1: Break down 987 into its components. 987 = 900 + 80 + 7
900 = CM
80 = LXXX
7 = VII Combine them to get CMLXXXVII.
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FAQs on 987 in Roman Numerals
1.What is 900 in Roman numerals?
2.How to write 987 in Roman numerals?
3.What is 1000 in Roman Numerals?
4.Is CMLXXXVII a prime number?
5.What are the multiples of 987?
6.How can children in Qatar use numbers in everyday life to understand 987 in Roman Numerals?
7.What are some fun ways kids in Qatar can practice 987 in Roman Numerals with numbers?
8.What role do numbers and 987 in Roman Numerals play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve 987 in Roman Numerals skills?
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Important Glossaries for 987 in Roman Numerals
- Addition rule: If a smaller numeral appears after a larger numeral, add them. For example, VII = V + II = 5 + 2 = 7.
- Grouping method: Numbers are grouped based on their place value, then converted to Roman numerals. For example, 987 = 900 + 80 + 7 = CMLXXXVII.
- Repetition rule: Certain symbols (I, X, C, M) can be repeated up to three times. For example, III = 3.
- Subtraction method: If a smaller numeral precedes a larger numeral, subtract them. For example, IX = 10 - 1 = 9.
- Limitation rule: Symbols cannot be repeated more than three times in a row. For example, we use XL for 40, not XXXX.
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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.
