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113 LearnersLast updated on February 25th, 2025
948 in Roman Numerals
Roman numerals are a system of expressing numbers using symbols such as I, V, X, L, C, D, and M. They are used in various contexts, including royal titles, book names, and sequences. Here, we will discuss Roman numerals, their rules, and examples related to the number 948.
What is 948 in Roman Numerals?
Roman numerals, like those in royal titles such as Henry I, Henry II, etc., represent numbers using specific symbols. Ancient Romans developed this numeral system to count and represent numbers. The symbols include I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). For 948 in Roman numerals, we use CMXLVIII, where CM is 900, XL is 40, and VIII is 8.
Let’s learn more about Roman numerals and their formation.
Basic Rules for 948 in Roman Numerals
Writing numbers in Roman numerals follows certain rules. Below are some basic rules to remember:
Rule 1: Addition Method
This method is used when a smaller number follows a larger one, adding their values. For example, VI → V + I → 5 + 1 = 6.
Rule 2: Repetition Method
Certain Roman numerals can be repeated up to three times to form numbers. For example, III → 3.
Rule 3: Subtraction Method
This rule applies when a smaller numeral precedes a larger one, subtracting the smaller from the larger. For instance, IX → X - I → 10 - 1 = 9.
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times, and some like V, L, and D cannot be repeated at all. For example, we write 10 as X, not VV.
How to Write 948 in Roman Numerals
Let's learn how to write 948 in Roman numerals using two methods:
- By Expansion Method
- By Grouping Method
948 in Roman Numeral by Expansion Method
In the expansion method, the number is broken down based on place value.
Step 1: Break down the number based on place value (hundreds, tens, and ones). For 948, we write it as 900 + 40 + 8.
Step 2: Convert each part into Roman numerals.
- 900 in Roman Numerals - CM
- 40 in Roman Numerals - XL
- 8 in Roman Numerals - VIII
Step 3: Combine these Roman numerals. Therefore, 948 in Roman numerals is CM + XL + VIII = CMXLVIII.
948 in Roman Numeral by Grouping Method
When writing large numbers in Roman numerals, we group the numbers. To write 948 in Roman numerals, we group it as 900 + 40 + 8.
- 900 in Roman Numerals - CM
- 40 in Roman Numerals - XL
- 8 in Roman Numerals - VIII
So, 948 is written as CMXLVIII in Roman numerals.
Numbers Related to 948 in Roman Numerals
Roman numerals follow a specific pattern. Here are some numbers related to 948:
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 940 | CMXL | 900 + 40 = 940 |
| 941 | CMXLI | 900 + 40 + 1 = 941 |
| 942 | CMXLII | 900 + 40 + 2 = 942 |
| 943 | CMXLIII | 900 + 40 + 3 = 943 |
| 944 | CMXLIV | 900 + 40 + 4 = 944 |
| 945 | CMXLV | 900 + 40 + 5 = 945 |
| 946 | CMXLVI | 900 + 40 + 6 = 946 |
| 947 | CMXLVII | 900 + 40 + 7 = 947 |
| 948 | CMXLVIII | 900 + 40 + 8 = 948 |
| 949 | CMXLIX | 900 + 40 + 9 = 949 |
Common Mistakes and How to Avoid Them in 948 Roman Numerals
948 in Roman Numerals Examples
Problem 1
A historian discovers that a manuscript contains CMXLVIII references to a particular event. If each reference is mentioned in III separate volumes, how many references are there per volume?
Explanation
Problem 2
During an excavation, archaeologists find CMXLVIII coins, which are to be distributed equally among XII museums. How many coins will each museum receive?
Explanation
Problem 3
An ancient text mentions that a city was founded DCCC years before a landmark event that occurred CMXLVIII years ago. How many years ago was the city founded?
Explanation
Problem 4
A rare artifact is estimated to weigh CMXLVIII grams. If it is split into four equal parts, what is the weight of each part in Roman numerals?
Explanation
Problem 5
A historian records that the reign of a particular king lasted CCL years and ended in the year CMXLVIII. In what year did the king's reign begin?
Explanation
FAQs on 948 in Roman Numerals
1.What is 900 in Roman numerals?
2.How to write 948 in Roman numerals?
3.What is 1000 in Roman Numerals?
4.Is CMXLVIII a prime number?
5.What are the multiples of 948?
Important Glossaries for 948 in Roman Numerals
- Addition Rule: Used when a larger numeral follows a smaller one, adding their values. Example: VI = 5 + 1 = 6.
- Grouping Method: Numbers are grouped by place value and converted into Roman numerals. Example: 948 = 900 + 40 + 8 = CMXLVIII.
- Repetition Rule: Certain symbols (I, X, C, M) can be repeated up to three times. Example: III = 3.
- Subtraction Rule: A smaller numeral preceding a larger one indicates subtraction. Example: IX = 10 - 1 = 9.
- Limitation Rule: Certain symbols (V, L, D) cannot be repeated. Example: 10 is X, not VV.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
