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CMXC Roman Numerals
CMXC Roman Numerals can be written as numbers by combining the transformed roman numerals i.e. CMXC = CM + XC = 900 + 90 = 990. The higher roman numerals precede the lower numerals resulting in the correct translation of CMXC Roman Numerals. In this article, we will explain how to convert CMXC Roman numerals in the correct number translation.
- CMXC = (M - C) + (C - X)
- CMXC = (1000 - 100) + (100 - 10)
- CMXC = 990
How to Write CMXC Roman Numerals?
The numerical value of CMXC Roman Numerals can be obtained by using any of the two methods given below:
Method 1: In this method, we break the roman numerals into single letters, write the numerical value of each letter and add/subtract them.
- CMXC = (M - C) + (C - X) = (1000 - 100) + (100 - 10) = 990
Method 2: In this method, we consider the groups of roman numerals for addition or subtraction such as,
- CMXC = CM + XC = 900 + 90 = 990
Therefore, the numerical value of CMXC roman numerals is 990.
☛ Also Check: Roman Numerals Calculator
What are the Basic Rules to Write Roman Numerals?
- When a bigger letter precedes a smaller letter, the letters are added. For example: LI, L > I, so LI = L + I = 50 + 1 = 51
- When a smaller letter precedes a bigger letter, the letters are subtracted. For example: CD, C < D, so CD = D - C = 500 - 100 = 400
- When a letter is repeated 2 or 3 times, they get added. For example: MMM = M + M + M = 1000 + 1000 + 1000 = 3000
- The same letter cannot be used more than three times in succession.
Numbers Related to CMXC Roman Numerals
Roman numerals were used in ancient Rome and utilized combinations of letters using the Latin alphabets I, V, X, L, C, D, and M. It may seem different than numbers, but they are similar. For example, CMXC Roman numerals are equivalent to the number 990. The roman numerals related to CMXC are given below:
- CMXC = 900 + 90 = 990
- CMXCI = 900 + 90 + 1 = 991
- CMXCII = 900 + 90 + 2 = 992
- CMXCIII = 900 + 90 + 3 = 993
- CMXCIV = 900 + 90 + 4 = 994
- CMXCV = 900 + 90 + 5 = 995
- CMXCVI = 900 + 90 + 6 = 996
- CMXCVII = 900 + 90 + 7 = 997
- CMXCVIII = 900 + 90 + 8 = 998
- CMXCIX = 900 + 90 + 9 = 999
CMXC Roman Numerals Examples
Example 1: Find the Sum of CMII and CMXC Roman Numerals.
CMII = 900 + 2 = 902 and CMXC = 900 + 90 = 990
Now, CMII + CMXC = 902 + 990 = 1892
Since, MDCCCXCII = 1000 + 800 + 90 + 2 = 1892
Therefore, the sum of CMII and CMXC roman numerals is MDCCCXCII
Example 3: Find the Product of Roman Numerals CMXC and II.
CMXC = 900 + 90 = 990 and II = 2
Now, CMXC × II = 990 × 2 = 1980
Since, MCMLXXX = 1000 + 900 + 80 = 1980
Therefore, CMXC × II = MCMLXXX
Example 4: Find the Difference Between CMXC and CMXXXVI.
Roman Numeral CMXC is equal to 990 and CMXXXVI is 936.
Now, CMXC - CMXXXVI = 990 - 936 = 54
Since, 54 = LIV
Therefore, CMXC - CMXXXVI = LIV
FAQs on CMXC Roman Numerals
What does CMXC Roman Numerals Mean?
We will write CMXC Roman numerals in the expanded form to determine its value. CMXC = CM + XC = 900 + 90 = 990. Hence, the value of Roman Numerals CMXC is 990.
Why is 990 Written in Roman Numerals as CMXC?
We know that in roman numerals, we write 90 as XC, and 900 as CM. Therefore, 990 in roman numerals is written as CMXC = CM + XC = 900 + 90 = CMXC.
How to Convert CMXC Roman Numerals to Arabic Number?
To convert CMXC Roman Numerals to numbers, the conversion involves breaking the Roman numerals on the basis of place values (ones, tens, hundreds, thousands), like this:
- Hundreds = 900 = CM
- Tens = 90 = XC
- Number = 990 = CMXC
What is the Remainder when CMXC is Divided by VII?
CMXC = 990 and VII = 7 in numbers. On dividing 990 by 7, it leaves a remainder of 7. Now, 3 = III Therefore, when CMXC is divided by VII, the remainder is III.
What Should be Added to Roman Numerals CMXC to Get MMDCCXCI?
First, we will write MMDCCXCI and CMXC in numbers, i.e. CMXC = 990 and MMDCCXCI = 2791. Now, 2791 - 990 = 1801. And, 1801 = MDCCCI. Therefore, MDCCCI should be added to 990 roman numerals to get MMDCCXCI.
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