MCMX 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. MCMX in Roman numerals can be written in number form by evaluating the values based on the rules of Roman numeral composition, i.e. MCMX = 1910.

Let us learn more about the Roman numeral MCMX, 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 up to three times in continuation increases the total value. 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. For example, 10 is represented as X and not VV.

Let us learn about how to write MCMX 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. This method involves breaking down Roman numerals into numerical parts and adding 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: Add the numerals together.

For MCMX,

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

Step 2: Write the Roman Numerals for each part The Roman Numeral M is 1000 The Roman Numeral CM is 900 The Roman Numeral X is 10

Step 3: Combine all the numbers M + CM + X = 1000 + 900 + 10 = 1910. Therefore, the Roman Numeral MCMX is 1910.

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

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

Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we have CM, where C is subtracted from M, and we add X to the total. The Roman numeral CM is 900 The Roman numeral X is 10 Therefore, the numeral of MCMX is 1910.

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

Subtraction Method: The process of subtracting a smaller numeral from a larger numeral, such as CM (900), where C is subtracted from M. Place Value: The position of a digit in a number that determines its value, such as the digit 9 in 1900 being in the hundreds place. Combination: The act of combining different Roman numerals to form numbers, like combining M, C, M, and X to form MCMX. Prime Number: A number that has only two factors, 1 and itself. For example, 11 is a prime number. Numerical Form: The representation of a Roman numeral in modern number format, such as MCMX being 1910.