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118 LearnersLast updated on February 27th, 2025
XVII in Roman Numerals
To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. It used a combination of seven symbols — I, V, X, L, C, D, and M to represent numbers. Roman numerals were used to record transactions, keep track of data, and label military units. In this topic, we are going to learn about the Roman numeral XVII.
What is XVII in Roman Numerals?
Ancient Romans discovered that counting fingers could get very complicated after 10. So to overcome the complexity, the Roman numeric system was developed. This was widely used throughout Europe as a standard writing system until the late Middle Ages.
Seven symbols are used to represent numbers in the Roman numeric system — I, V, X, L, C, D, and M. The numerals are made up of different combinations of these symbols. XVII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., XVII = 17.
Let us learn more about the Roman numeral XVII, how we write it, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for XVII in Roman Numerals
When writing Roman numerals, there are a few rules that we need to follow based on the Roman numerals we are trying to write. In this section, we will learn about the rules when writing Roman numerals and how to represent them.
Rule 1: Addition Method:
When a larger symbol is followed by a smaller symbol, we add the numerals to each other. For example, in VIII, we have 5+3=8.
Rule 2: Repetition Method:
A symbol that is repeated three times in continuation increases the value of the numeral. For example, XXX=30.
Rule 3: Subtraction:n Method:
We use the subtraction method when a larger symbol follows a smaller symbol. For example, XL=40 (which is 50–10).
Rule 4: Limitation Rule:
Symbols cannot be repeated more than three times, and some symbols, such as V, L, and D, cannot be repeated more than once. For example, 10 is represented as X and not VV.
How to Write XVII in Roman Numerals?
Let us learn about how to write XVII in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
XVII in Roman Numeral by Expansion Method
The breaking down of Roman numerals into parts and then converting them into numerals is what we call the expansion method. The expansion method is the breaking down of Roman numerals into numerical form and adding them to get the final number.
Step 1: Break the Roman numerals into parts.
Step 2: Now write each of the Roman numerals with its numerical digit in the place value. Step 3: Add the numerals together.
For XVII,
Step 1: First we break the Roman numerals. XVII = X + V + I + I
Step 2: Write the Roman Numerals for each part The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1
Step 3: Combine all the numbers X + V + I + I = 10 + 5 + 1 + 1 = 17. Therefore, the Roman Numeral XVII is 17.
XVII in Roman Numeral by Grouping Method
Using subtraction and addition rules, we will apply the grouping method. This means we break the Roman numerals into smaller groups, which makes it easier to work with. This method groups the Roman numerals logically, and then we write the numbers for each group.
Step 1: Take the largest number and write the number for that Roman numeral.
Step 2: Write the Roman numeral using the subtraction and addition rules.
Example: Let’s take the Roman numeral XVII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are XV and II. The numeral for XV is 15
Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add II to XV and we will get XVII. The Roman numeral II is 2 Therefore, the numeral of XVII is 17.
Numbers Related to XVII in Roman Numerals
We follow a pattern when it comes to writing Roman numerals. In this section, we will write some numbers related to the Roman numeral XVII:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| XVII | 17 | X + V + I + I |
| XVIII | 18 | X + V + I + I + I |
| XIX | 19 | X + IX |
| XX | 20 | X + X |
| XXI | 21 | X + X + I |
| XXII | 22 | X + X + I + I |
| XXIII | 23 | X + X + I + I + I |
| XXIV | 24 | X + X + IV |
Common Mistakes and How to Avoid Them in XVII Roman Numerals
Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.
Mistake 1
Mistakes when applying the repetition method
It can be quite confusing for beginners to remember that Roman Numerals cannot be repeated more than three times. Another thing to keep in mind is that Roman Numerals such as V, L, and D cannot be repeated.
For example, writing LL as 100 is incorrect; the correct answer is C.
XVII Roman Numerals Examples
Problem 1
If you add XVII and IX, what will be the result in Roman numerals?
The sum is XXVI
Explanation
Convert both Roman numerals into their decimal form:
XVII = 17
IX = 9
Add both numbers: 17 + 9 = 26
Convert the number into its Roman numeral: 26 = 20 + 6 = XXVI
Problem 2
Subtract V from XVII and express the answer in Roman numerals.
The difference is XII
Explanation
Convert the Roman numerals into decimal form:
XVII = 17
V = 5
Subtract the numbers: 17 - 5 = 12
Convert the number into its Roman numeral: 12 = 10 + 2 = XII
Problem 3
Multiply XVII by III and write the answer in Roman numerals.
LI
Explanation
Convert XVII and III into decimal form:
XVII = 17
III = 3
Multiply the numbers: 17 × 3 = 51
Convert 51 into its Roman numeral: 50 (L) + 1 (I) = LI
Problem 4
Divide LXVIII by IV and write the answer in Roman numerals.
XVII
Explanation
Convert LXVIII into decimal form: LXVIII = 68
Convert IV into decimal form: IV = 4
Divide the numbers: 68 ÷ 4 = 17
Convert 17 into its Roman numeral: 17 = 10 + 5 + 2 = XVII
Problem 5
Convert XVII into its decimal form.
In decimal form, XVII is 17
Explanation
Break XVII into components:
X = 10
V = 5
II = 2
Add values: 10 + 5 + 2 = 17
FAQs on XVII in Roman Numerals
1.What is VII in Roman numerals?
2.Is XVII a prime number?
3.What is XVII + XVII?
4.What is XXVII?
5.Subtract VII from XVII
Important Glossaries for XVII in Roman Numerals
- Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, LVV for 60 is wrong; the correct answer is LX.
- Place Value: The position of a digit in a number, this position determines its value. For example, the number 1 in 17 is the ten's place.
- Prime Number: A number that has only two factors or multiples is called a prime number. For example, 17 is a prime number that has only two factors: 1 and itself.
- Addition Method: A rule in Roman numerals where smaller values after larger ones are added, such as in VI (5+1=6).
- Subtraction Method: A rule in Roman numerals where smaller values before larger ones are subtracted, such as in IV (5-1=4).
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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.
