Table Of Contents
123 LearnersLast updated on February 26th, 2025
LXVIII 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 LXVIII.
What is LXVIII 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. LXVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., LXVIII = 68.
Let us learn more about the Roman numeral LXVIII, how we write it, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for LXVIII 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 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 LXVIII in Roman Numerals?
Let us learn about how to write LXVIII in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
LXVIII in Roman Numerals 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 LXVIII,
Step 1: First we break the Roman numerals. LXVIII = L + X + V + I + I + I
Step 2: Write the Roman Numerals for each part The Roman Numeral L is 50 The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1
Step 3: Combine all the numbers L + X + V + I + I + I = 50 + 10 + 5 + 1 + 1 + 1 = 68. Therefore, the Roman Numeral LXVIII is 68.
LXVIII in Roman Numerals 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 LXVIII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are L, X, and VIII. The numeral for L is 50, and for X it is 10.
Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add VIII to LX and we will get LXVIII. The Roman numeral VIII is 8. Therefore, the numeral of LXVIII is 68.
Numbers Related to LXVIII 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 LXVIII:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| LXVIII | 68 | L + X + V + I + I + I |
Common Mistakes and How to Avoid Them in LXVIII 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.
LXVIII Roman Numerals Examples
Problem 1
What is the result of adding LXVIII and XIV? Write the answer in Roman numerals.
The result is LXXXII
Explanation
Convert the Roman numerals into their decimal form:
LXVIII = 68
XIV = 14
Now add the numbers: 68 + 14 = 82
Convert 82 into its Roman numeral: 80 = LXXX, 2 = II, so 82 = LXXXII
Problem 2
Subtract XX from LXVIII and write in Roman numerals.
The difference is XLVIII
Explanation
Convert the Roman numerals into their decimal form:
LXVIII = 68
XX = 20
Now subtract the numbers: 68 - 20 = 48
Convert 48 into its Roman numeral: 40 = XL, 8 = VIII, so 48 = XLVIII
Problem 3
Divide LXVIII by 4 and express the answer in Roman numerals.
XVII
Explanation
Convert LXVIII into its decimal form:
LXVIII = 68
Divide by 4: 68 ÷ 4 = 17
Write 17 in Roman numerals: 10 = X, 5 = V, 2 = II, so 17 = XVII
Problem 4
Multiply LXVIII by II and write the product in Roman numerals.
CXXXVI is the product of LXVIII and II.
Explanation
Convert LXVIII and II into numbers:
LXVIII = 68
II = 2
Multiply the numbers: 68 × 2 = 136
Convert 136 into its Roman numerals: 100 (C) + 30 (XXX) + 6 (VI) = CXXXVI
Problem 5
Convert LXVIII into its decimal form.
In decimal form, LXVIII is 68.
Explanation
Break LXVIII into components:
L = 50, X = 10, VIII = 8
Add values: 50 + 10 + 8 = 68
FAQs on LXVIII in Roman Numerals
1.What is XIII in Roman numerals?
2.Is LXVIII a prime number?
3.What is LXVIII + LXVIII?
4.What is LXXVIII?
5.Subtract XVIII from LXVIII
Important Glossaries for LXVIII in Roman Numerals
- Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, LL for 100 is wrong, the correct answer is C
- Place value: The position of a digit in a number, this position determines its value.
- Prime Number: A number that has only two factors or multiples is called a prime number. LXVIII is not prime as it has factors other than 1 and itself.
- Subtraction Method: This rule applies when a smaller numeral is placed before a larger numeral to indicate subtraction.
- Addition Method: This rule applies when numerals are added together to form a number by placing them in descending order.
Explore More numbers
Previous to LXVIII Roman Numerals
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.
