132 LearnersLast updated on May 26th, 2025
167 in Roman Numerals
Roman numerals are a way of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols we use. Roman numerals are used in royal titles, book names, sequences, and so on. Here we will be discussing Roman numerals, rules, and examples.
What is 167 in Roman Numerals?
The royal titles, such as Henry I, Henry II, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman numerals.
Earlier, people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required for counting. Ancient Romans used the Roman numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols used in this system.
In Roman numerals, we use CLXVII to represent 167, where C is 100, L is 50, X is 10, V is 5, and II is 2. Let’s learn more about Roman numerals and how we write them.
Basic Rules for 167 in Roman Numerals
There are certain basic rules to write a number in Roman numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman numerals.
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number. For example, CLXVII → C + L + X + V + I + I → 100 + 50 + 10 + 5 + 1 + 1 = 167.
Rule 2: Repetition Method
To write a large number, there are certain Roman numerals that can be repeated three times. III → 3.
Rule 3: Subtraction Method
If a smaller number is followed by a larger number in Roman numerals, we subtract the smaller number from the larger number. 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 won't write VV for 10; instead, we use X, and 8 is written as VIII, not IIIIIIII.
How to Write 167 in Roman Numerals
Let’s now learn how to write 167 in Roman numerals. Follow these methods to write the number in Roman numerals.
- By Expansion Method
- By Grouping Method
167 in Roman Numerals by Expansion Method
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 167 in Roman numerals using the expansion method.
To write 167 in Roman numerals, follow these steps:
Step 1: Break the number based on place value: hundreds, tens, and ones.
For 167, we write it as 100 + 50 + 10 + 5 + 2.
Step 2: Convert each number into Roman numerals.
100 in Roman numerals is C.
50 in Roman numerals is L.
10 in Roman numerals is X.
5 in Roman numerals is V.
2 in Roman numerals is II.
Step 3: Combine the Roman numerals together.
Therefore, 167 in Roman numerals is C (100) + L (50) + X (10) + V (5) + II (2) = CLXVII.
167 in Roman Numerals by Grouping Method
When writing a large number in Roman numerals, we group the number. To write 167 in Roman numerals, we group 167 as 100 + 50 + 10 + 5 + 2.
100 in Roman numerals is C.
50 in Roman numerals is L.
10 in Roman numerals is X.
5 in Roman numerals is V.
2 in Roman numerals is II.
So, 167 is written as CLXVII in Roman numerals.
Numbers Related to 167 in Roman Numerals
Roman numerals follow a certain pattern, making them look similar. In this section, we will learn some numbers related to the Roman numeral 167.
| 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 |
Common Mistakes and How to Avoid Them in 167 Roman Numerals
Students often make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and the ways to avoid them.
Mistake 1
Errors in the Repetition Method
The repetition method can be confusing for beginners, as it states that Roman numerals cannot be repeated more than three times. Additionally, some Roman numerals, such as V, L, and D, cannot be repeated.
167 in Roman Numerals Examples
Problem 1
A historian discovers CLXVII ancient coins in a buried chest and wants to distribute them equally among IX researchers. How many coins will each researcher receive?
Each researcher will receive XVIII coins.
Explanation
To determine the number of coins each researcher receives, divide the total number of coins by the number of researchers.
CLXVII = 167
IX = 9
167 ÷ 9 = 18.
18 in Roman numerals can be written as XVIII.
Problem 2
An archaeologist found CLXVII pieces of pottery and wants to display them in groups of XIII per shelf. How many full shelves can be filled?
The number of full shelves that can be filled is XII.
Explanation
To find how many full shelves can be filled, divide the total number of pottery pieces by the number per shelf.
CLXVII = 167
XIII = 13
167 ÷ 13 = 12.
12 in Roman numerals can be written as XII.
Problem 3
A museum exhibit features CCXLV artifacts on display, but CLXXVIII are temporarily removed for restoration. How many artifacts remain on display?
The number of artifacts remaining on display is LXVII.
Explanation
Subtract the number of removed artifacts from the total number on display.
CCXLV = 245
CLXXVIII = 178
245 - 178 = 67.
67 in Roman numerals is LXVII.
Problem 4
A library has acquired a collection of CXCIV rare books. If the library decides to add CLXVII more books, how many rare books will the library have in total?
The total number of rare books will be CCCLXI.
Explanation
Add the initial number of rare books to the additional books acquired.
CXCIV = 194
CLXVII = 167
194 + 167 = 361.
361 in Roman numerals can be written as CCCLXI.
Problem 5
Convert 167 into Roman numerals using the expansion method.
CLXVII
Explanation
Break down the number 167 into its components.
167 = 100 + 50 + 10 + 7
100 in Roman numerals is C, 50 is L, 10 is X, and 7 is VII.
Combine these to form CLXVII.
FAQs on 167 in Roman Numerals
1.What is 9 in Roman numerals?
2.How to write 167 in Roman numerals?
3.What is 16 in Roman Numerals?
4.Is CLXVII a prime number?
5.What are the multiples of 167?
6.How can children in Australia use numbers in everyday life to understand 167 in Roman Numerals?
7.What are some fun ways kids in Australia can practice 167 in Roman Numerals with numbers?
8.What role do numbers and 167 in Roman Numerals play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve 167 in Roman Numerals skills?
Important Glossaries for 167 in Roman Numerals
- Addition Rule: The addition method is used when a larger numeral is followed by a smaller numeral, and their values are added. For example, CLXVII = C + L + X + V + I + I = 167.
- Grouping Method: Here, the given number is grouped based on its place value and then converted into its Roman numerals. For example, 167 = 100 + 50 + 10 + 5 + 2 = CLXVII.
- Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, III = 3 (I is repeated three times to represent the number 3).
- Subtraction Method: When a smaller numeral precedes a larger numeral, the smaller numeral is subtracted from the larger one. For example, IX = X - I = 9.
- Place Value: This refers to the value of a digit in a numeral, depending on its position within the number. For example, in the number 167, the place values are 100 (hundreds), 60 (tens), and 7 (ones).
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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
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