MXC in Roman Numerals

Ancient Romans discovered that counting fingers could get very complicated after 10. To overcome this 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. MXC in Roman numerals can be written in number form by adding and subtracting the values of each Roman numeral, i.e. MXC = 1090.

Let us learn more about the Roman numeral MXC, 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 VI, we have 5 + 1 = 6.

Rule 2: Repetition Method:

A symbol that is repeated three times in continuation increases the value of the numeral. For example, CCC = 300.

Rule 3: Subtraction Method:

We use the subtraction method when a larger symbol follows a smaller symbol. For example, XC = 90 (which is 100 – 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, 1000 is represented as M and not DDD.

Let us learn about how to write MXC 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 is the breaking down of Roman numerals into numerical form and adding or 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: Add or subtract the numerals together.

For MXC,

Step 1: First we break the Roman numerals. MXC = M + XC

Step 2: Write the Roman Numerals for each part The Roman Numeral M is 1000 The Roman Numeral XC is 90

Step 3: Combine all the numbers M + XC = 1000 + 90 = 1090. Therefore, the Roman Numeral MXC is 1090.

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 MXC.

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M and XC. 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 subtract 10 from 100 to get XC. The Roman numeral XC is 90 Therefore, the numeral of MXC is 1090.

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

• Subtraction Method: A method used in Roman numerals where a smaller numeral precedes a larger numeral, indicating subtraction, e.g., XC is 90 (100 - 10).
   
• Place Value: The numerical value that a digit has by virtue of its position in a number, e.g., the number 9 in 90 is in the tens place.
   
• Even Number: A number that is divisible by 2 without a remainder, e.g., 1090 is an even number.
   
• Expansion Method: The process of breaking down Roman numerals into individual components to find their numerical equivalent, e.g., M + XC = 1090.
   
• Grouping Method: A method of writing Roman numerals by logically grouping symbols for easier conversion to numbers.