Roman Numerals 100 to 200

Numbers in the Roman numeric system are represented using special symbols . I, V, X, L, C, D, and M are the seven symbols that were used by ancient Romans. When writing Roman numerals a few rules are followed. If a lower digit value is written to the right of a higher-value digit, we would need to add the two digits.

For example,  XXV we would add the values because V (5) is less than X (10). Such rules are the building blocks of the Roman numeric system. 
 

Numbers from 100 to 200 are represented slightly differently when compared to numbers from 1 to 100. For example, we represent 100 with the symbol C. Here we have a chart to help you understand the numerals from 100 to 200 for better understanding. 
 

To provide a small insight into the Roman numeric system we will go through a list of Roman numerals. This will help you better understand the different ways to combine the letters to represent a particular number. The list starts from I (1) to D (500). 

• Roman Numerals from 1 to 100
• Roman Numerals from 101 to 200
• Roman Numerals from 201 to 300
• Roman Numerals from 301 to 400
• Roman Numerals from 401 to 500

Specific symbols are used to represent the Roman numerals from 100 to 200. We can obtain the numeral by using any of the given methods:

• By Expansion Method
• By Grouping Method
   

A number is broken down into its hundreds, tens, and ones place values, which we then convert into Roman numerals. This method is what we call the expansion method  

Step 1: Numbers are broken down into hundreds, tens, and ones. Break the number down into its hundreds, tens, and ones place values.

Step 2: Take each part, and write the Roman numerals accordingly.

Step 3: Once done we will combine the numerals.

Example: Let’s take the number 121.

Step 1: First we break the numbers. 
100 + 20 +1 = 121 

Step 2: We identify the Roman numerals for each part

The Roman Numeral of 100 is C.
The Roman Numeral of 20 is XX.
The Roman Numeral of 1 is I.

Step 3: Combine all the parts

C (100) + XX (20) + I (1) = CXXI.

Therefore, the Roman Numeral of 121 is CXXI.
 

We use the grouping method to get the Roman Numerals directly from the number. This method uses addition and subtraction rules.

Step 1: Start writing numerals for the largest number.

Step 2: We follow the addition or subtraction rule accordingly. 

• Addition: The smaller numeral is added if it is after the larger numeral.
• Subtraction: We subtract only if the smaller value is before the larger value.

Example: Let’s take the number 105.

Step 1: The larger numerals are what we will begin with. 
Once split, the numerals we get are 100 and 5.
The Roman Numeral for 100 is C

Step 2: Now we need to either Add or subtract the smaller number
By adding 5 to 100 we will get 105.
The Roman Numeral of 5 is V

Therefore, the Roman Numeral of 105 is CV.
 

The Roman numeric system is structured by specific rules. We need these rules to make sure that we represent the numbers correctly. Below are some of the most important rules one must follow:

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

Let’s look into each rule separately:
 

In the Roman numeric system, when a bigger symbol such as C or X comes before a smaller symbol like I, we will add the values.

Example: If the given number is CXX. As we know the symbol C represents the number 100 and 20 is represented by XX. Since 20 is smaller and after the larger numeral which is C, we need to add the two numbers together. Once added we will get the value 120.
 

In Roman Numerals a symbol can be repeated only up to three times, this would increase its value accordingly. I, X, C, and M are symbols that can be repeated to increase their value. However, V, L, and D are symbols that cannot be repeated more than once.  For example, the Roman numeral symbol that represents the number 100 can be repeated three times CCC to make the number 300.
 

When a smaller symbol comes before the larger symbol, we must subtract the smaller number from the larger number. There are three sub-rules in subtraction that we use: 

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 IX. Here, X is the biggest numeral and I is the smallest numeral. As we see that the smaller numeral is before the larger numeral, we need to subtract to get the number. X (10) - I (1) = IX (9).
 

There are several limitations we need to keep in mind when learning Roman numerals, they are:

• We cannot write the same symbol more than three times. For example, I in III (3) cannot be repeated more than 3 times, instead we use IV for writing 4.

• Subtraction can only occur with specific pairs of numerals. For example, IX represents 9 (10 -1) but IC is invalid because we can not subtract C and I with each other.

• Subtraction is allowed in a numeral when the right conditions are met. For example, XL (40), L (50) — X (10) is applicable to get 40 but XXL is not applicable to get the number 30(XXX).
   

Learning Roman numerals can get confusing for children. Due to the amount of different symbols and combinations present. So here are tips and tricks we can use to make learning about Roman numerals much easier.

• Try to memorize the basic symbols like I (1), V (5), X (10), L (50), C (100), D (500), and M (1000), 

• Remember to break the big numerals into smaller parts. This makes it easier to read and write the symbols and numbers.

• We cannot repeat the same symbol more than three times. So keep this in mind when writing Roman numerals.

• Expansion Method: This method involves the numbers being broken down into their place values (thousands, hundreds…ones), after which we convert them into their Roman numeral equivalent. The last step would be for us to combine the numerals. For example, 167 → 100 + 60 + 7 = C + LX = CLXVII.

• Grouping Method: This method focuses on forming Roman numerals by using rules of addition and subtraction. We group Roman numerals starting from the larger symbols to the smaller symbols. For example, 105 → 100 + 5 = CV

• Limitation rule: There are certain restrictions that we must keep in mind. Some restrictions like not repeating the same symbol more than three times or once for symbols like V, L, and D. For example, writing 10 as VV is incorrect, X is the correct representation.