135 LearnersLast updated on May 26th, 2025
175 in Roman Numerals
Roman numerals are a method of expressing numbers using specific symbols. The symbols I, V, X, L, C, D, and M are utilized to represent numbers. Roman numerals are prevalent in royal titles, book names, sequences, and more. Here, we will discuss Roman numerals, their rules, and examples.
What is 175 in Roman Numerals?
Royal titles, such as Henry I, Henry II, and so on, use Roman numerals. These symbols help in understanding the numbering system used by ancient Romans, who required a standard form to count as life became more complex. The Roman numeral system includes the symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
In Roman numerals, we use CLXXV to represent 175, where C is 100, L is 50, XX is 20, and V is 5. Let’s learn more about Roman numerals and how we write them.
Basic Rules for 175 in Roman Numerals
There are basic rules for writing numbers in Roman numerals. Below are some key rules to keep in mind:
Rule 1: Addition Method
When a smaller number is placed after a larger number, they are added. For example, CLXXV → C + L + X + X + V → 100 + 50 + 10 + 10 + 5 = 175.
Rule 2: Repetition Method
Certain Roman numerals can be repeated up to three times. For example, XXX → 30.
Rule 3: Subtraction Method
When a smaller number precedes a larger number, it is subtracted. For example, XL → 50 - 10 = 40.
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, instead of writing LLL for 150, we use CL.
How to Write 175 in Roman Numerals
Let’s learn how to write 175 in Roman Numerals using different methods.
- By Expansion Method
- By Grouping Method
175 in Roman Numeral by Expansion Method
In the expansion method, the number is broken down based on place value.
Step 1: Break down 175 into 100 + 50 + 20 + 5.
Step 2: Convert each number to Roman numerals:
100 is C
50 is L
20 is XX
5 is V
Step 3: Combine them: C + L + XX + V = CLXXV.
175 in Roman Numeral by Grouping Method
When writing large numbers in Roman numerals, we group them.
To write 175 as a Roman numeral, we group it as 100 + 50 + 20 + 5:
100 in Roman Numeral is C
50 in Roman Numeral is L
20 in Roman Numeral is XX
5 in Roman Numeral is V
So, 175 is written as CLXXV in Roman numerals.
Numbers Related to 175 in Roman Numerals
Roman numerals follow patterns, making them look similar. Here are some numbers related to 175:
CLXXIV = 174
CLXXV = 175
CLXXVI = 176
CLXXVII = 177
CLXXVIII = 178
CLXXIX = 179
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 100 | C | 100 |
| 110 | CX | 100 + 10 = 110 |
| 120 | CXX | 100 + 10 + 10 = 120 |
| 130 | CXXX | 100 + 10 + 10 + 10 = 130 |
| 140 | CXL | 100 + 50 - 10 = 140 |
| 150 | CL | 100 + 50 = 150 |
| 160 | CLX | 100 + 50 + 10 = 160 |
| 170 | CLXX | 100 + 50 + 10 + 10 = 170 |
| 175 | CLXXV | 100 + 50 + 10 + 10 + 5 = 175 |
Common Mistakes and How to Avoid Them in 175 Roman Numerals
Students often make mistakes when writing numbers in Roman numerals. Here are some common mistakes and tips to avoid them:
Mistake 1
Errors in repetition method
The repetition method can be confusing for beginners. Remember, symbols like V, L, and D cannot be repeated.
175 in Roman Numerals Examples
Problem 1
A historian is cataloging CLXXV ancient artifacts into V equal groups. How many artifacts will each group contain?
Each group will contain XXXV artifacts.
Explanation
The historian needs to divide the total number of artifacts by the number of groups.
CLXXV = 175
V = 5
Therefore, CLXXV / V = 175 / 5 = 35.
35 in Roman numerals can be written as XXXV.
Problem 2
Find the sum of CXXV and L.
The sum of CXXV and L is CLXXV.
Explanation
To find the sum, add the two numbers together.
CXXV = 125
L = 50
125 + 50 = 175
175 in Roman Numerals is CLXXV.
The sum of CXXV and L is CLXXV.
Problem 3
A puzzle requires arranging CLXXV tiles, each representing a unique letter, into XV rows. How many tiles will be in each row?
Each row will contain XI tiles.
Explanation
Divide the total number of tiles by the number of rows.
CLXXV = 175
XV = 15
175 / 15 = 11
11 in Roman numerals can be written as XI.
Problem 4
What is the difference between CC and CLXXV?
The difference between CC and CLXXV is XXV.
Explanation
Subtract the smaller number from the larger number.
CC = 200
CLXXV = 175
200 - 175 = 25
25 in Roman numerals can be written as XXV.
Problem 5
Write the Roman Numeral for 88 + 87 using the expansion method.
The Roman numeral for 88 + 87 is CLXXV.
Explanation
Step 1: Convert the numbers 88 and 87 into Roman numerals.
88 = LXXXVIII
87 = LXXXVII
Add the numbers together: 88 + 87 = 175
Using the expansion method: 175 = 100 + 70 + 5 = CLXXV.
FAQs on 175 in Roman Numerals
1.What is 170 in Roman numerals?
2.How to write 175 in Roman numerals?
3.What is 180 in Roman Numerals?
4.Is CLXXV a prime number?
5.What are the multiples of 175?
6.How can children in Australia use numbers in everyday life to understand 175 in Roman Numerals?
7.What are some fun ways kids in Australia can practice 175 in Roman Numerals with numbers?
8.What role do numbers and 175 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 175 in Roman Numerals skills?
Important Glossaries for 175 in Roman Numerals
- Addition rule: Used when a smaller numeral follows a larger one. For example, CLXXV = C + L + X + X + V = 175.
- Grouping method: Group numbers based on their place value, then convert each group to Roman numerals. For example, 175 = 100 + 50 + 20 + 5 = CLXXV.
- Repetition rule: Certain symbols (I, X, C, M) can be repeated up to three times. For example, XX = 20.
- Subtraction method: Used when a smaller numeral precedes a larger one. For example, XL = 50 - 10 = 40.
- Expansion method: Break down numbers by place value and convert each part to Roman numerals. For example, 175 = 100 + 50 + 20 + 5 = CLXXV.
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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.
