183 LearnersLast updated on May 26th, 2025
118 in Roman Numerals
Roman numerals are a system of expressing numbers using specific symbols: I, V, X, L, C, D, and M. These numerals appear in various contexts, such as royal titles, book chapters, and sequences. Here, we will discuss Roman numerals, their rules, and examples.
What is 118 in Roman Numerals?
When you see royal titles like Henry VIII, you might wonder what the symbols (VIII) represent. Those are Roman numerals. In ancient times, people counted using fingers, sticks, and bones. As life became more complex, a standardized form was needed. The ancient Romans developed the Roman numeral system: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
For 118, we use CXVIII in Roman numerals, where C represents 100, X is 10, and VIII is 8. Let’s delve deeper into Roman numerals and how we write them.
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Basic Rules for 118 in Roman Numerals
There are basic rules for writing numbers using Roman numerals. Let's discuss these rules:
Rule 1: Addition Method
When a smaller numeral is placed after a larger one, their values are added. For example, CXVIII → C + X + VIII → 100 + 10 + 8 = 118.
Rule 2: Repetition Method
Certain Roman numerals can be repeated up to three times. For example, VIII → 8, using V (5) and III (3).
Rule 3: Subtraction Method
If a smaller numeral precedes a larger numeral, the smaller is subtracted from the larger. For example, IX → X - I → 10 - 1 = 9.
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, we use X for 10 instead of VV, and for 8, we write VIII, not IIIIIIII.
How to Write 118 in Roman Numerals
Let’s learn how to write 118 in Roman numerals using different methods:
118 in Roman Numerals by Expansion Method
In this method, numbers are broken down based on place value:
Step 1: Break down the number by place value. For 118, it’s 100 + 10 + 8.
Step 2: Convert each part into Roman numerals:
- 100 in Roman numerals — C
- 10 in Roman numerals — X
- 8 in Roman numerals — VIII
Step 3: Combine them: C + X + VIII = CXVIII.
118 in Roman Numerals by Grouping Method
For larger numbers, group them:
To write 118 in Roman numerals, group it as 100 + 10 + 8.
- 100 in Roman numerals — C
- 10 in Roman numerals — X
- 8 in Roman numerals — VIII
Therefore, 118 is written as CXVIII.
Numbers Related to 118 in Roman Numerals
Roman numerals follow patterns, which make them similar. Here are some numbers related to 118:
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 110 | CX | 100 + 10 = 110 |
| 111 | CXI | 100 + 10 + 1 = 111 |
| 112 | CXII | 100 + 10 + 2 = 112 |
| 113 | CXIII | 100 + 10 + 3 = 113 |
| 114 | CXIV | 100 + 10 + 5 - 1 = 114 |
| 115 | CXV | 100 + 10 + 5 = 115 |
| 116 | CXVI | 100 + 10 + 5 + 1 = 116 |
| 117 | CXVII | 100 + 10 + 5 + 1 + 1 = 117 |
| 118 | CXVIII | 100 + 10 + 5 + 1 + 1 + 1 = 118 |
| 119 | CXIX | 100 + 10 + 9 = 119 |
Common Mistakes and How to Avoid Them in 118 Roman Numerals
Students often make mistakes when writing Roman numerals. Here are some common errors and how to avoid them:
Mistake 1
Errors in the Repetition Method
The repetition rule can be confusing. Roman numerals cannot be repeated more than three times; some, like V, L, and D, cannot be repeated.
Mistake 2
Subtracting the Wrong Numerals
Confusion arises with the subtraction method, which is used when a smaller numeral is before a larger one. For example, writing IL for 49 instead of XLIX.
Mistake 3
Incorrect Grouping
When converting large numbers, group them correctly. For example, writing 6 as IIIIII instead of VI.
Mistake 4
Confusing Arabic and Roman Numerals
Students often confuse Arabic and Roman numerals. Arabic numbers use 1, 2, 3, etc., while Roman numerals use symbols like I, V, X, L.
Mistake 5
Confusing Subtraction and Addition
Understanding when to use addition or subtraction is crucial. Add if the smaller numeral follows the larger; subtract if the smaller precedes the larger. For example, IV = 4, but XV = 15.
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118 in Roman Numerals Examples
Problem 1
A historian wants to divide a collection of MMCCCXVII artifacts among XIX museums. How many artifacts does each museum receive?
Each museum receives CXXIII artifacts.
Explanation
To find the number of artifacts per museum, divide the total artifacts by the number of museums.
MMCCCXVII = 2317
XIX = 19
2317 ÷ 19 = 122
122 in Roman numerals is CXXII.
Thus, each museum receives CXXII artifacts.
Problem 2
Find the sum of LIX and LIX.
The sum of LIX and LIX is CXVIII
Explanation
Sum is the result of adding two numbers.
LIX = 59
59 + 59 = 118
118 in Roman Numerals is CXVIII.
The sum of LIX and LIX is CXVIII.
Problem 3
A clock shows the time as VII. What will be the time in Roman numerals if 111 more minutes have passed?
The time will be IX.
Explanation
111 minutes is 1 hour and 51 minutes. Adding this to VII (7 AM or PM):
VII = 7 (7 AM or PM)
7 + 2 = 9
9 in Roman numerals is IX.
Therefore, the time will be IX.
Problem 4
Calculate the difference between CL and XXXII.
The difference between CL and XXXII is CXVIII.
Explanation
The difference of two numbers is obtained by subtracting the smaller from the larger.
CL = 150
XXXII = 32
150 - 32 = 118
118 in Roman Numerals can be written as CXVIII.
The difference between CL and XXXII is CXVIII.
Problem 5
Write the Roman Numeral for 60 + 58 using the expansion method.
The Roman for 60 + 58 is CXVIII.
Explanation
First convert the numbers 60 and 58 into Roman numerals.
60 - LX
58 - LVIII
Add the numbers together: 60 + 58 = 118
Using expansion method: 118 = 100 + 10 + 8 = CXVIII
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FAQs on 118 in Roman Numerals
1.What is 9 in Roman numerals?
2.How to write 118 in Roman numerals?
3.What is 16 in Roman Numerals?
4.Is CXVIII a prime number?
5.What are the multiples of 118?
6.How can children in Canada use numbers in everyday life to understand 118 in Roman Numerals?
7.What are some fun ways kids in Canada can practice 118 in Roman Numerals with numbers?
8.What role do numbers and 118 in Roman Numerals play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve 118 in Roman Numerals skills?
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Important Glossaries for 118 in Roman Numerals
- Addition Rule: When a larger numeral is followed by a smaller one, add their values. For example, CXVIII = C + X + VIII = 100 + 10 + 8 = 118.
- Grouping Method: Numbers are grouped by place value and converted to Roman numerals. For example, 118 = 100 + 10 + 8 = CXVIII.
- Repetition Rule: Certain symbols like I, X, C, and M can be repeated up to three times. For example, III = 3 (I repeated three times).
- Subtraction Rule: A smaller numeral before a larger one indicates subtraction. For example, IX = 9 (10 - 1).
- Limitation Rule: Symbols like V, L, and D cannot be repeated; others cannot be repeated more than three times.
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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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