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Last updated on February 27th, 2025

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XXXVI in Roman Numerals

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Foundation
Intermediate
Advance Topics

To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. They 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 XXXVI.

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What is XXXVI 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. XXXVI in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. XXXVI = 36.

 

Let us learn more about the Roman numeral XXXVI, how we write them, the mistakes we usually make, and ways to avoid these mistakes.xxxvi roman numerals

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Basic Rules for XXXVI 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.

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How to Write XXXVI in Roman Numerals?

Let us learn about how to write XXXVI in Roman numerals. There are two methods that we can use to write Roman numerals:

 

  • By Expansion Method
  • By Grouping Method
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XXXVI 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 XXXVI,

 

Step 1: First we break the Roman numerals. XXXVI = X+X+X+V+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+X+X+V+I = 10+10+10+5+1 = 36. Therefore, the Roman Numeral XXXVI is 36.

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XXXVI 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 XXXVI.

 

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are XXX and VI. The numeral for XXX is 30.

 

Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add VI to XXX, and we will get XXXVI. The Roman numeral VI is 6. Therefore, the numeral of XXXVI is 36.

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Common Mistakes and How to Avoid Them in XXXVI 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

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Mistakes when applying the repetition method

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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.

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XXXVI Roman Numerals Examples

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Problem 1

Calculate the sum of XXXVI and XII. Write the answer in Roman numerals.

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The sum is XLVIII

Explanation

Convert both Roman numerals into their decimal form:

XXXVI = 36

XII = 12

Now add both numbers: 36 + 12 = 48

Convert the sum into its Roman numeral: 48 = 40 + 8 = XLVIII

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Problem 2

What is the difference between L and XXXVI? Write your answer in Roman numerals.

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The difference is XIV

Explanation

Convert the Roman numerals into their decimal form:

L = 50

XXXVI = 36

Subtract the numbers: 50 - 36 = 14

Convert the result into Roman numerals: 14 = 10 + 4 = XIV

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Problem 3

Divide LXXII by 2 and write the answer in Roman numerals.

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XXXVI

Explanation

Convert LXXII into its decimal form:

LXXII = 72

Divide by 2: 72 / 2 = 36

Convert 36 into Roman numerals: 36 = 30 + 6 = XXXVI

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Problem 4

Find the product of IX and XXXVI.

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CCCXXIV is the product of IX and XXXVI.

Explanation

Convert IX and XXXVI into numbers:

IX = 9

XXXVI = 36

Multiply the numbers: 9 × 36 = 324

Convert 324 into Roman numerals: 300 (CCC) + 20 (XX) + 4 (IV) = CCCXXIV

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Problem 5

Convert XXXVI into its decimal form.

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In decimal form, XXXVI is 36

Explanation

Break XXXVI into components:

XXX = 30 (X + X + X)

VI = 6 (V + I)

Add values: 30 + 6 = 36

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FAQs on XXXVI in Roman Numerals

1.What is XVI in Roman numerals?

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2.Is XXXVI a prime number?

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3.What is XXXVI + XXXVI?

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4.What is XLVI?

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5.Subtract XIV from XXXVI

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Important Glossaries for XXXVI 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 3 in 36 is in the ten's place.
  • Addition Method: When a larger symbol is followed by a smaller symbol, the values are added. For example, VI = 6.
  • Repetition Method: Repeating a symbol increases the value based on the number of repetitions. For example, XXX = 30.
  • Subtraction Method: A smaller numeral placed before a larger numeral is subtracted from the larger. For example, XC = 90 (100–10).
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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.

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Fun Fact

: She loves to read number jokes and games.

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