Roman Numerals 800 to 900

Roman Numerals use symbols to represent number systems. Ancient Romans used the letters I, V, X, L, C, D, and M to represent the number system. The unavailability of zero at that time and the lack of other mathematical operations made the Roman Numerals obsolete in recent times. For example, we write 815 as DCCCXV.

Roman numbers are used today in clocks, chapters in books, classrooms, etc. The following chart helps us to understand the numerals better.

List of Roman Numerals 800 to 900

The list of Roman Numerals provides an organized way to understand how those letters combine to represent a number. The given list starts from DCCC (800) to CM (900). Learning these numerals helps you in a deeper understanding of the numerical system.

Roman Numerals from 800 to 850

Roman Numerals from 851 to 900

Roman Numerals rely on specific symbols, and it has rules of addition and subtraction. The basic symbols in Roman Numerals are:
 

• I = 1
• V = 5
• X = 10
• L = 50
• C = 100
• D = 500
• M = 1000
   

Using the above symbols, we can combine the Roman Numerals for the numbers easily. There are two basic methods of writing Roman Numerals, they are:

• Expansion Method
   
• Grouping Method

Expansion Method

Through the expansion method, we break down the numbers into hundreds, tens, and ones parts and then convert them into numerals.

Step 1: Break the numbers into hundreds, tens, and ones parts.

Step 2: Write Roman Numerals for each part.

Step 3: Combine all the parts to get the numerals.
 

Example: For the number 899.

Step 1: Break the numbers 800 + 90 + 9 = 899

Step 2: Add Roman Numerals for each part The Roman Numeral of 800 is DCCC. The Roman Numeral of 90 is XC. The Roman Numeral of 9 is IX.

Step 3: Combine all the parts 800 (DCCC) + 90 (XC) + 9 (IX) = DCCCXCIX. Therefore, the Roman Numeral of 899 is DCCCXCIX.

Grouping Method

Grouping method directly from the number by combining Roman Numeral symbols directly. It uses addition and subtraction rules.

Step 1: Start writing numerals for the largest number.

Step 2: Smaller numbers are either getting added or subtracted. Following the rule of adding and subtraction is mandatory.

• Addition: smaller numeral after the larger numeral.
   
• Subtraction: smaller numeral before the large numeral.
   

Example: For the number 812.

Step 1: Start with the larger numbers. While splitting, we will get 800, 10, and 2 The Roman Numeral of 800 is DCCC

Step 2: Add or subtract the smaller number If we add 10 and 2 to 800, it will become 812. The Roman Numeral of 10 is X The Roman Numeral of 2 is II

Therefore, the Roman Numeral of 812 is DCCCXII.

Roman Numerals follow rules to make sure the number is written correctly. Here are some main rules given below:

• Rule 1: Addition Method
   
• Rule 2: Repetition Method
   
• Rule 3: Subtraction Method
   
• Rule 4: Limitation Rule

Rule 1: Addition Method

In Roman Numerals, if the smaller numeral comes after the large numeral, then we need to add their values.

Example: If the given number is DCCCLXII. We can see that the number DCCC refers to 800 and the other numbers refer to 62. So in this, the smaller numeral is after the large numeral, so we need to add them to get the value 862.

Rule 2: Repetition Method

The Roman Numeral can be repeated up to three times to increase its value. The numbers cannot be repeated after three times. Only symbols like I, X, C, and M can be repeated, while V, L, and D cannot be repeated.
 

Example: CCC = 100 + 100 + 100 = 300 repeating the numeral C for the fourth time is not allowed.

Rule 3: Subtraction Method

If the smaller numeral comes before the large numeral, then we need to subtract the smaller numeral from the larger numeral to get the number. There are three rules in subtraction, they are, I can be subtracted from V and X. X can be subtracted from L and C. C can be subtracted from D and M.
 

Example: In the number CM.

Here, M is the biggest numeral and C is the smallest numeral. As we see that the smaller numeral is before the larger numeral, we need to subtract to get the number. M (1000) - C (100) = CM (900).

Rule 4: Limitation Rule

Roman Numerals consist of several limitations, they are: A numeral cannot be repeated more than three times.

For example, III (3) cannot be repeated more than 3 times, instead we use IV for writing 4.

Subtraction cannot be done with non-pair numbers. For example, XC here X (10) - C (100) gives XC is applicable but IC, C (100) - I(1) is not applicable.

Only one subtraction can be allowed in one numeral. For example, XC (90), C (100) - X (10) is applicable to get 90 but XXC is not applicable to get the number 80.

Roman Numerals are fun to learn and easy to write when you know the following tips and tricks:

• Memorize the basic symbols like I (1), V (5), X (10), L (50), C (100), D (500), and M (1000), to write and read the other numerals easily.
   
• Always break the big numerals into smaller parts to make it easier to read and write.
   
• Remember the repetition rule, a number should not be added more than three times.
   
• Practice the smaller numerals and gradually move to the bigger values.
   
• We use numerals in clocks, classrooms, etc., and try to read from the numeral clock to make numerals easy to learn.

• Breaking Numbers: It is the process of splitting a larger number into smaller parts. For example, for multiplying 875 we can divide it as 800 + 70 + 5.
   
• Repetition: Using the same symbols more than once. For example, DCCC.
   
• Numerical System: The numbers used in ancient Rome, utilizing Latin letters rather than digits. For example, DCCC, DCCCL, etc.
   
• Grouping Method: A method to write numerals by directly combining symbols based on the rules of addition and subtraction.
   
• Expansion Method: A method where numbers are broken down into hundreds, tens, and ones before being converted into numerals.