Last updated on May 26th, 2025
To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. It used a combination of seven symbols — I, V, X, L, C, D, and M to represent numbers. Roman numerals were used to record transactions, keep track of data, and label military units. In this topic, we are going to learn about the Roman numeral CCXLVIII.
The 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. CCXLVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., CCXLVIII = 248.
Let us learn more about the Roman numeral CCXLVIII, how we write them, 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 XIII, we have 10 + 3 = 13.
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, 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, 100 is represented as C and not LL.
Let us learn about how to write CCXLVIII 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 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 CCXLVIII, Step 1: First, we break the Roman numerals. CCXLVIII = C + C + XL + V + I + I + I Step 2: Write the Roman Numerals for each part. The Roman Numeral C is 100 The Roman Numeral XL is 40 The Roman Numeral V is 5 The Roman Numeral I is 1 Step 3: Combine all the numbers. C + C + XL + V + I + I + I = 100 + 100 + 40 + 5 + 1 + 1 + 1 = 248. Therefore, the Roman Numeral CCXLVIII is 248.
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 CCXLVIII. Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are CC, XL, and VIII. The numeral for CC is 200 Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add XL and VIII to CC, and we will get CCXLVIII. The Roman numeral XL is 40 The Roman numeral VIII is 8 Therefore, the numeral of CCXLVIII is 248.
Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.
If CCXLVIII people attended a concert and 152 of them left early, how many people stayed until the end? Write the answer in Roman numerals.
XCVI
Convert CCXLVIII and the number 152 into decimal form: CCXLVIII = 248 152 is already in decimal form. Subtract the numbers: 248 - 152 = 96 Convert 96 into Roman numerals: 96 = 90 + 6 = XCVI
A book has CCXLVIII pages. If you read LXXVIII pages, how many pages do you have left? Write the answer in Roman numerals.
CLXX
Convert CCXLVIII and LXXVIII into decimal form: CCXLVIII = 248 LXXVIII = 78 Subtract the number of pages read: 248 - 78 = 170 Convert 170 into Roman numerals: 170 = 100 + 50 + 20 = CLXX
A theater can hold CCXLVIII people. If a play is scheduled to run for 4 days and the theater is expected to be full each day, how many total tickets will be sold? Write the answer in Roman numerals.
CMXCII
Convert CCXLVIII into decimal form: CCXLVIII = 248 Multiply by the number of days: 248 × 4 = 992 Convert 992 into Roman numerals: 992 = 900 (CM) + 90 (XC) + 2 (II) = CMXCII
A marathon is divided into CCXLVIII laps. If you have completed CXIX laps, how many more laps do you need to run? Write the answer in Roman numerals.
CXXIX
Convert CCXLVIII and CXIX into decimal form: CCXLVIII = 248 CXIX = 119 Subtract the completed laps from the total: 248 - 119 = 129 Convert 129 into Roman numerals: 129 = 100 + 20 + 9 = CXXIX
Convert CCXLVIII into its decimal form.
In decimal form, CCXLVIII is 248.
Break CCXLVIII into components: CC = 200 (100 + 100) XL = 40 (50 - 10) VIII = 8 (5 + 3) Add values: 200 + 40 + 8 = 248
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.