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102 LearnersLast updated on February 24th, 2025
168 in Roman Numerals
Roman numerals are a way of expressing numbers using symbols like I, V, X, L, C, D, and M. Roman numerals are used in various contexts such as royal titles, book names, and sequences. Here, we will discuss Roman numerals, their rules, and examples.
What is 168 in Roman Numerals?
Roman numerals like Henry I, Henry II, etc., use symbols to represent numbers. These symbols have historical significance as ancient people used physical objects like fingers and sticks for counting.
As life became more complex, a standardized counting system was needed, and the Romans developed the Roman numeral system. The symbols used are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
In Roman numerals, we use CLXVIII to represent 168. Here, C is 100, LX is 60, and VIII is 8. Let’s learn more about Roman numerals and how we write them.
Basic Rules for 168 in Roman Numerals
There are certain basic rules for writing a number in Roman numerals. Let's discuss these rules:
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number. For example, CLXVIII → C + LX + VIII → 100 + 60 + 8 = 168.
Rule 2: Repetition Method
Some Roman numerals can be repeated up to three times. For example, III → 3.
Rule 3: Subtraction Method
If a smaller number precedes a larger number, it is subtracted. For example, IX → X - I → 10 - 1 = 9.
Rule 4: Limitation Rule
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we don't write VV for 10; instead, we use X. Similarly, 8 is written as VIII, not IIIIIIII.
How to Write 168 in Roman Numerals
Let’s learn how to write 168 in Roman numerals using different methods.
- By Expansion Method
- By Grouping Method
168 in Roman Numerals by Expansion Method
In the expansion method, the number is broken down based on place value. Here's how:
Step 1: Break the number based on place value.
For 168, we write it as 100 + 60 + 8.
Step 2: Convert each component into Roman numerals.
100 in Roman numerals is C.
60 in Roman numerals is LX.
8 in Roman numerals is VIII.
Step 3: Combine them.
Thus, 168 in Roman numerals is C (100) + LX (60) + VIII (8) = CLXVIII.
168 in Roman Numerals by Grouping Method
When writing a large number in Roman numerals, we group the numbers:
100 in Roman numerals is C.
60 in Roman numerals is LX.
8 in Roman numerals is VIII.
Therefore, 168 is written as CLXVIII in Roman numerals.
Numbers Related to 168 in Roman Numerals
Roman numerals follow a pattern. Here are some related numbers:
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 160 | CLX | 100 + 50 + 10 = 160 |
| 161 | CLXI | 100 + 50 + 10 + 1 = 161 |
| 162 | CLXII | 100 + 50 + 10 + 2 = 162 |
| 163 | CLXIII | 100 + 50 + 10 + 3 = 163 |
| 164 | CLXIV | 100 + 50 + 10 + 5 - 1 = 164 |
| 165 | CLXV | 100 + 50 + 10 + 5 = 165 |
| 166 | CLXVI | 100 + 50 + 10 + 5 + 1 = 166 |
| 167 | CLXVII | 100 + 50 + 10 + 5 + 1 + 1 = 167 |
| 168 | CLXVIII | 100 + 50 + 10 + 5 + 1 + 1 + 1 = 168 |
Common Mistakes and How to Avoid Them in 168 Roman Numerals
168 in Roman Numerals Examples
Problem 1
A historian is compiling records of CLXVIII ancient artifacts from a collection and wants to categorize them into XIV groups. How many artifacts will each group contain?
Explanation
Problem 2
A treasure hunter discovers CLXVIII gold coins and wants to equally distribute them among VII friends. How many coins will each friend receive?
Explanation
Problem 3
Find the sum of LXXVIII and XC.
Explanation
Problem 4
A librarian has CLXVIII books and needs to shelve them in rows of XI. How many complete rows can be formed?
Explanation
Problem 5
Write the Roman Numeral for 168 - 7 using the subtraction method.
Explanation
FAQs on 168 in Roman Numerals
1.What is 9 in Roman numerals?
2.How to write 168 in Roman numerals?
3.What is 175 in Roman Numerals?
4.Is CLXVIII a prime number?
5.What are the multiples of 168?
Important Glossaries for 168 in Roman Numerals
- Addition rule: Used when a smaller numeral follows a larger numeral. For example, CLXVIII = C + LX + VIII = 168.
- Grouping method: Group numbers based on place value and convert each group into Roman numerals. For example, 168 = 100 + 60 + 8 = CLXVIII.
- Repetition rule: Symbols like I, X, C, and M can be repeated up to three times. For example, III = 3.
- Subtraction rule: Used when a smaller numeral precedes a larger numeral. For example, IX = 9 (10 - 1).
- Limitation rule: Certain symbols like V, L, and D cannot be repeated.
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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.
