CM in Roman Numerals

Ancient Romans discovered that counting fingers could get very complicated after 10. So to overcome the 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 are used to represent numbers in the Roman numeric system — I, V, X, L, C, D, and M. The numerals are made up of different combinations of these symbols. CM in Roman numerals can be written in number form by applying the subtraction rule, i.e., CM = 900.

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

When writing Roman numerals, there are a few rules that we need to follow based on the Roman 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 value of the numeral. For example, XXX = 30.

Rule 3: Subtraction Method:

We use the subtraction method when a smaller symbol precedes a larger 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.

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

• By Expansion Method
   
• By Grouping 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 subtracting them to get the final number.

Step 1: Break the Roman numerals into parts.

Step 2: Now write each of the Roman numerals with its numerical digit in the place value.

Step 3: Subtract the numerals as required.

For CM,

Step 1: First, we break the Roman numerals. CM = C + M

Step 2: Write the Roman Numerals for each part

The Roman Numeral C is 100

The Roman Numeral M is 1000

Step 3: Apply the subtraction rule M - C = 1000 - 100 = 900.

Therefore, the Roman Numeral CM is 900.

Using subtraction and addition rules, we will apply the grouping method. This means we break the Roman numerals into smaller groups, which makes 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 CM.

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are C and M. The numeral for M is 1000.

Step 2: Now we need to subtract the smaller number, depending on its place. Here we subtract C from M to get CM. The Roman numeral C is 100.

Therefore, the numeral of CM is 900.

We follow a pattern when it comes to writing Roman numerals. In this section, we will write some numbers related to the Roman numeral CM: 

• Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, VV for 10 is wrong; the correct answer is X.

• Place Value: The position of a digit in a number, this position determines its value. For example, the number 9 in 900 is at the hundred's place.

• Subtraction Method: A rule where a smaller numeral is placed before a larger numeral to indicate subtraction. For example, CM is 900.

• Addition Method: A rule where numerals are added to each other when a larger symbol precedes a smaller one. For example, VI is 6.

• Roman Numerals: An ancient numeric system using combinations of letters from the Latin alphabet (I, V, X, L, C, D, M) to represent numbers.