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Last updated on May 26th, 2025

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CMLXXXVII in Roman Numerals

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To meet their daily commerce and administration needs, the ancient Romans developed Roman numerals. They used a combination of seven symbols — I, V, X, L, C, D, and M to represent numbers. Roman numerals were used to record transactions, keep track of data, and label military units. In this topic, we are going to learn about the Roman numeral CMLXXXVII.

CMLXXXVII in Roman Numerals for Indian Students
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What is CMLXXXVII in Roman Numerals?

Ancient Romans discovered that counting fingers could get very complicated after 10. To overcome this complexity, the Roman numeric system was developed.

 

This was widely used throughout Europe as a standard writing system until the late Middle Ages. Seven symbols represent numbers in the Roman numeric system — I, V, X, L, C, D, and M.

 

The numerals consist of different combinations of these symbols. CMLXXXVII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., CMLXXXVII = 987.

 

Let us learn more about the Roman numeral CMLXXXVII, how we write it, the mistakes we usually make, and ways to avoid these mistakes.

cmlxxxvii roman numerals

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Basic Rules for CMLXXXVII in Roman Numerals

When writing Roman numerals, there are a few rules that we need to follow based on the numerals we are trying to write. In this section, we will learn about the rules when writing Roman numerals and how to represent them.

 

Rule 1: Addition Method:

When a larger symbol is followed by a smaller symbol, we add the numerals to each other. For example, in VIII, we have 5 + 3 = 8.

 

Rule 2: Repetition Method:

A symbol that is repeated three times in continuation increases the numeral's value. For example, XXX = 30.

 

Rule 3: Subtraction Method:

We use the subtraction method when a larger symbol follows a smaller symbol. For example, XL = 40 (which is 50 – 10).

 

Rule 4: Limitation Rule:

Symbols cannot be repeated more than three times, and some symbols, such as V, L, and D, cannot be repeated more than once. For example, 10 is represented as X and not VV.

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How to Write CMLXXXVII in Roman Numerals?

Let us learn how to write CMLXXXVII in Roman numerals. There are two methods that we can use to write Roman numerals:

  • By Expansion Method
  • By Grouping Method
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CMLXXXVII in Roman Numeral by Expansion Method

The breaking down of Roman numerals into parts and then converting them into numerals is what we call the expansion method. The expansion method involves breaking down Roman numerals into numerical form and adding them to get the final number.

 

Step 1: Break the Roman numerals into parts.

 

Step 2: Write each Roman numeral with its numerical digit in the place value.

 

Step 3: Add the numerals together. For CMLXXXVII,

 

Step 1: First, we break the Roman numerals. CMLXXXVII = CM + L + X + X + X + V + I + I

 

Step 2: Write the Roman numerals for each part. The Roman Numeral CM is 900 The Roman Numeral L is 50 The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1

 

Step 3: Combine all the numbers. CM + L + X + X + X + V + I + I = 900 + 50 + 10 + 10 + 10 + 5 + 1 + 1 = 987. Therefore, the Roman Numeral CMLXXXVII is 987.

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CMLXXXVII in Roman Numeral by Grouping Method

Using subtraction and addition rules, we will apply the grouping method. This means we break the Roman numerals into smaller groups, making it easier to work with. This method groups the Roman numerals logically, and then we write the numbers for each group.

 

Step 1: Take the largest number and write the number for that Roman numeral.

 

Step 2: Write the Roman numeral using the subtraction and addition rules. Example: Let’s take the Roman numeral CMLXXXVII.

 

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are CM, LXXX, and VII. The numeral for CM is 900.

 

Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add LXXX and VII to CM, and we will get CMLXXXVII. The Roman numeral LXXX is 80. The Roman numeral VII is 7. Therefore, the numeral of CMLXXXVII is 987.

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Common Mistakes and How to Avoid Them in CMLXXXVII Roman Numerals

Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.

Mistake 1

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Mistakes when applying the repetition method

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It can be quite confusing for beginners to remember that Roman numerals cannot be repeated more than three times. Another thing to keep in mind is that Roman numerals such as V, L, and D cannot be repeated.

For example, writing LL as 100 is incorrect; the correct answer is C.

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CMLXXXVII Roman Numerals Examples

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Problem 1

You have a collection of CMLXXXVII coins. You find another CLXVIII coins. How many coins do you have in total? Provide the answer in Roman numerals.

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The total is MCLV

Explanation

Convert both Roman numerals into their decimal form: CMLXXXVII = 987

CLXVIII = 168

Now add both numbers: 987 + 168 = 1155

Convert 1155 into Roman numerals: 1155 = 1000 (M) + 100 (C) + 50 (L) + 5 (V) = MCLV

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Problem 2

If you have a ribbon that is CMLXXXVII cm long and you cut off DLIII cm, how much ribbon is left? Provide the answer in Roman numerals.

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The remaining length is CDXXXIV

Explanation

Convert the Roman numerals into their decimal form: CMLXXXVII = 987

DLIII = 553

Now subtract the numbers: 987 - 553 = 434

Convert 434 into Roman numerals: 434 = 400 (CD) + 30 (XXX) + 4 (IV) = CDXXXIV

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Problem 3

What is one-third of CMLXXXVII? Give the answer in Roman numerals.

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CCCXXIX

Explanation

Convert CMLXXXVII into its decimal form: CMLXXXVII = 987

Divide by 3: 987 / 3 = 329

Convert 329 into Roman numerals: 329 = 300 (CCC) + 20 (XX) + 9 (IX) = CCCXXIX

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Problem 4

Calculate the product of CMLXXXVII and III. Provide the answer in Roman numerals.

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The product is MMCMXLI

Explanation

Convert CMLXXXVII and III into numbers: CMLXXXVII = 987

III = 3

Multiply the numbers: 987 × 3 = 2961

Convert 2961 into Roman numerals: 2961 = 2000 (MM) + 900 (CM) + 60 (LX) + 1 (I) = MMCMXLI

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Problem 5

Convert CMLXXXVII into its decimal form.

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In decimal form, CMLXXXVII is 987

Explanation

Break CMLXXXVII into components: CM = 900

LXXX = 80 (L + X + X + X)

VII = 7 (V + I + I)

Add values: 900 + 80 + 7 = 987

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FAQs on CMLXXXVII in Roman Numerals

1.What is LXXXVII in Roman numerals?

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2.Is CMLXXXVII a prime number?

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3.What is CMLXXXVII + CMLXXXVII?

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4.What is CMXC?

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5.Subtract LXXXVII from CMLXXXVII

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6.How can children in India use numbers in everyday life to understand CMLXXXVII in Roman Numerals?

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7.What are some fun ways kids in India can practice CMLXXXVII in Roman Numerals with numbers?

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8.What role do numbers and CMLXXXVII in Roman Numerals play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve CMLXXXVII in Roman Numerals skills?

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Important Glossaries for CMLXXXVII in Roman Numerals

  • Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, LVV for 60 is wrong; the correct answer is LX.

 

  • Place value: The position of a digit in a number; this position determines its value. For example, the number 9 in 987 is in the hundred's place.

 

  • Subtraction Method: Used when a smaller symbol precedes a larger one to indicate subtraction. For example, IV (4) is 5 - 1.

 

  • Addition Method: Used when a smaller symbol follows a larger one to indicate addition. For example, VI (6) is 5 + 1.

 

  • Roman Numeral System: An ancient numeral system using combinations of letters from the Latin alphabet (I, V, X, L, C, D, M) to signify values.
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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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