45 in Roman Numerals

The number 45 is written as XLV in Roman numerals. Roman numerals are a number system that dates back to ancient Rome, where letters from the Latin alphabet were used to represent values instead of the digits we use today. Each letter has a fixed value, for example, I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, and M = 1000. By combining these letters and following specific rules of addition and subtraction, any number can be represented.

 

In this guide, we will get to learn how to write 45 in Roman numerals, understand the fundamental rules for writing Roman numerals, and practice step-by-step examples for better clarity.

 

Table of Contents

 

• How to Write 45 in Roman Numerals?
• Basic Rules to Write Roman Numerals
• Roman Numerals Associated with the Number 45
• Solved Examples on Roman Numerals
• Conclusion
• FAQs on 45 in Roman Numerals

 

How to Write 45 in Roman Numerals?

Writing 45 in Roman numerals means learning to write numbers with the standard Roman numeral symbols. The main symbols that we will use are:

 

I = 1

V = 5

X = 10

L = 50

C = 100

D = 500

M = 1000

 

Now, to write the number 45:

 

50 is written as L 

10 is written as X

As 45 is 5 less than 50, we subtract 10 from 50 → XL

5 is written as V

So, 45 = XL + V = XLV

 

This follows the standard Roman numeral rule that when a lower value symbol precedes a higher one, it is subtracted. X (10) precedes L (50) here, yielding 40 (XL), and the addition of V (5) yields 45.

 

Basic Roman Numeral Rules

• A symbol is repeated when added:

Example: II = 2, XX = 20, CC = 200

• A symbol can be repeated a maximum of 3 times:

Example: XXX = 30, CCC = 300

• Symbols V (5), L (50), and D (500) are never repeated.

• When a smaller symbol comes after a larger one, we add:

Example: VI = 5 + 1 = 6

• When a smaller symbol comes before a larger one, we subtract

Example: XC = 100 – 10 = 90

 

• Symbols V, L, and D are never subtracted.

• I can only be subtracted from V and X.

• X can only be subtracted from L and C.

Roman Numerals Associated with the Number 45

Let’s look at some numbers around 45 and see how they are written in Roman numerals:

• 40 in Roman Numerals = XL

L = 50, and X = 10. Since 10 comes before 50, we subtract 10 from 50 → 50 – 10 = 40 → XL.

• 41 in Roman Numerals = XLI

XL = 40, and I = 1. Adding them gives 40 + 1 = 41 → XLI.

• 42 in Roman Numerals = XLII

XL = 40, and II = 2. Adding them gives 40 + 2 = 42 → XLII.

• 43 in Roman Numerals = XLIII

XL = 40, and III = 3. Adding them gives 40 + 3 = 43 → XLIII.

• 44 in Roman Numerals = XLIV

XL = 40, and IV = 4 (I comes before V, so 5 – 1 = 4). Adding them gives 40 + 4 = 44 → XLIV.

• 45 in Roman Numerals = XLV

XL = 40, and V = 5. Adding them gives 40 + 5 = 45 → XLV.

• 50 in Roman Numerals = L

L represents 50 directly → L.

This clearly shows how Roman numerals are formed by combining symbols according to the rules of addition and subtraction. Smaller values before larger ones are subtracted, while smaller values after larger ones are added, allowing numbers to be written logically and systematically.

45 in Roman Numerals - Examples

 

Example 1: Write the addition of XX (20) and XXV (25) in Roman numerals.

Solution:

We know:

XX = 20

XXV = 25

 

Adding them results in:

20 + 25 = 45

Now, write 45 in Roman numerals:

45 = XLV

 

Therefore,

XX + XXV = XLV

 

Example 2: Add what to XL (40) to get XLV?

Solution:

We know:

XLV = 45

XL = 40

 

To get the number to add, subtract 40 from 45:

45 – 40 = 5

Now, write 5 in Roman numerals:

5 = V

 

So,

XL + V = XLV

 

Example 3: Write the difference between L (50) and V (5) in Roman numerals.

Solution:

We know:

L = 50

V = 5

 

Subtract:

50 – 5 = 45

 

Now, write 45 in Roman numerals:

45 = XLV

 

So,

L – V = XLV

 

Example 4: Multiply IX (9) × V (5) in Roman numerals.

Solution:

We know:

IX = 9

V = 5

 

Multiply:

9 × 5 = 45

 

Now, express 45 in Roman numerals:

45 = XLV

 

Thus,

IX × V = XLV

 

Conclusion

 

The Roman numeral for 45 is XLV. It is constructed by adding XL (40) and V (5). Roman numerals also have some fixed rules for addition and subtraction, which become easy after practice. Numbers such as 40 (XL), 44 (XLIV), and 50 (L) can be easily written and read once the rules are known.

 

Frequently Asked Questions on 45 in Roman Numerals

 

1. What is 45 in Roman numerals?

Answer: 45 in Roman numerals is represented XLV.

 

2. How is 45 written in Roman numerals?

Answer: 40 is XL and 5 is V. So, 45 = XL + V = XLV.

 

3. What follows XLV in Roman numerals?

Answer: Following XLV (45), we have XLVI (46).

 

4. Can Roman numerals be applied to large numbers?

Answer: Roman numerals can be used for very large numbers. For numbers greater than 3999, a bar is placed over the numeral, and its value is multiplied by 1000.

 

Learn 45 in Roman Numerals and more math concepts at Orchids The International School.