CCCXC Roman Numerals: Rules, Solved Examples & Practice Questions

CCCXC Roman numeral is a combination of symbols C(100) and X(10). Roman numerals such as CCCXC were historically used by Romans to name events, Kings or chapters and are still seen today on clock faces, monuments, and book volumes. Understanding how to write CCCXC in numbers will help you decode similar Roman numerals easily.


Table of Contents

How to Write CCCXC Roman Numeral in Numbers?

CCCXC Roman Numerals represent 390. To convert CCCXC Roman numerals in number, separate the symbols and apply Roman numeral rules.

  1. Analyse the symbols used in CCCXC Roman numeral
    Symbols: C = 100 and X = 10
  2. Write CCCXC Roman numeral in expanded form: CCCXC = C + C + C + (C-X)
  3. Add the values together: C + C + C + (C - X) = 100 + 100 + 100 + (100 - 10) = 390

Hence, CCCXC = 390


Basic Rules to Write Roman Numerals

There are 4 fundamental Roman numerals rules that we need to follow for writing or converting Roman numbers correctly.

  • Addition Rule: When smaller numerals follow larger ones, their values are added.
    Example: VI = 5 + 1 = 6
  • Subtraction Rule: When a smaller numeral comes before a larger one, it is subtracted.
    Example: IX = 10 - 1 = 9
  • Repetition Rule: Symbols I, X, C, and M can be repeated up to three times.
    Example: XXX = 30
  • Non-Repetition Rule: Symbols V, L, and D cannot be repeated.

 
Roman Numerals Related to CCCXC Roman Numerals

Roman Numeral

Expanded Form

Calculation

Number

CCCXC

C + C + C + (C - X)

300 + 90

390

CCCXCI

C + C + C + (C - X) + I

300 + 90 + 1

391

CCCXCII

C + C + C + (C - X) + II

300 + 90 + 2

392

CCCXCIII

C + C + C + (C - X) + III

300 + 90 + 3

393

CCCXCIV

C + C + C + (C - X) + IV

300 + 90 + 4

394

CCCXCV

C + C + C + (C - X) + V

300 + 90 + 5

395


Solved Examples on CCCXC Roman Numeral

Example 1. Write the numerical value of CCCXC Roman numeral.

Solution: CCCXC = C + C + C + (C − X)
= 100 + 100 + 100 + (100 − 10)
= 300 + 90
= 390

Therefore, CCCXC = 390


Example 2. Write 390 in Roman numerals.

Solution: 390 = 300 + 90
300 = CCC
90 = XC

Therefore, 390 = CCCXC


Example 3. Find the value of CCCXC + X.

Solution: CCCXC = 390, X = 10

390 + 10 = 400

400 in Roman numerals = CD

Therefore, CCCXC + X = CD


Example 4. Subtract XC from CCCXC.

Solution: CCCXC = 390, XC = 90

390 − 90 = 300

300 in Roman numerals = CCC

Therefore, CCCXC − XC = CCC


Example 5. 
What is the sum of CCC + XC?

Solution: CCC = 300, XC = 90

300 + 90 = 390

390 in Roman numerals = CCCXC

Therefore, CCC + XC = CCCXC


Practice Questions on CCCXC Roman Numeral

  1. Fill in the blank: CCCXC = ______ (in numbers).
  2. Fill in the blank: ______ = CCCXC (in Roman numerals).
  3. True or False: CCCXC represents 400.
  4. Choose the correct option: The value of CCCXC is
    (a) 380
    (b) 390
    (c) 400
    (d) 410
  5. Complete the sequence: CCCLXXX, CCCLXXXV, CCCXC, ______.
  6. Match the following:
    (i) CCCXC → (a) 390
    (ii) CD → (b) 400
  7. Fill in the blank: CCCXC + X = ______ (in Roman numerals).
  8. True or False: CCCXC − XC = CCC.
  9. Choose the correct Roman numeral for 395:
    (a) CCCXCV
    (b) CCCXC
    (c) CDV
    (d) CCCLXXXV
  10. Fill in the blank: The number just before CCCXC is ______ (in Roman numerals).

Conclusion

Ancient Romans used a unique number system called Roman numerals centuries ago. We can still find  these numerals used around us in many things including clocks, books, movies, etc. Converting Roman numerals CCCXC into numbers we can understand the basic Roman numerals rules.

Frequently Asked Questions on CCCXC Roman Numerals

1. What is the value of CCCXC in number?

CCCXC is equal to 390 in Hindu-Arabic numerals.

2. How is 390 written in Roman numerals?

390 is written as CCCXC in Roman numerals.

3. What does each letter in CCCXC represent?

C = 100 and X = 10  So, 100 + 100 + 100 + ( 100 - 10 )= 390.

4. What comes after CCCXC in Roman numerals?

CCCXCI (391) comes after CCCXC (390).

5. What comes before CCCXC in Roman numerals?

CCCLXXXIX (389) comes before CCCXC (390).

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