Operations on Roman Numerals |Add |Subtraction|Multiplication|Division - Free Printable

The image presents four operations involving Roman numerals: Addition, Multiplication, Subtraction, and Division. Let's go through each one step by step, verify the solutions, and explain the logic behind them.

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🔹 1. Addition of Roman Numerals

Problem: Find the sum of LXXX and VI.

#### Step-by-step:
- LXXX = 50 + 10 + 10 + 10 = 80
- VI = 5 + 1 = 6
- Sum: 80 + 6 = 86

Now convert 86 to Roman numerals:
- 86 = 50 + 30 + 6 = L + XXX + VI = LXXXVI

✔ Answer: LXXXVI

✔️ Correct.

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🔹 2. Multiplication of Roman Numerals

Problem: Find the product of IX and XC.

#### Step-by-step:
- IX = 10 - 1 = 9 (since I before X means subtract)
- XC = 100 - 10 = 90 (C before X means subtract)
- Product: 9 × 90 = 810

Now convert 810 to Roman numerals:
- 810 = 500 + 300 + 10 = D + CCC + X = DCCCX

✔ Answer: DCCCX

✔️ Correct.

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🔹 3. Subtraction of Roman Numerals

Problem: Subtract LI from XCV.

#### Step-by-step:
- LI = 50 + 1 = 51
- XCV = 100 - 10 + 5 = 95 (because XC = 90, then V = 5 → 95)
- Now: 95 - 51 = 44

Convert 44 to Roman numerals:
- 44 = 40 + 4 = XL + IV = XLIV

✔ Answer: XLIV

✔️ Correct.

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🔹 4. Division of Roman Numerals

Problem: Find the quotient of MCXI and XI.

#### Step-by-step:
- MCXI = 1000 + 100 + 10 + 1 = 1111
- XI = 10 + 1 = 11
- Now divide: 1111 ÷ 11 = 101

Convert 101 to Roman numerals:
- 101 = 100 + 1 = CI

✔ Answer: CI

✔️ Correct.

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✔ Final Summary:

| Operation | Problem | Answer |
|---------|--------|--------|
| Addition | LXXX + VI | LXXXVI |
| Multiplication | IX × XC | DCCCX |
| Subtraction | XCV - LI | XLIV |
| Division | MCXI ÷ XI | CI |

All calculations are correct and well-explained in the image.

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📝 Key Concepts Used:

- Roman Numeral Values:
- I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000
- Subtractive Notation:
- IV = 4, IX = 9, XL = 40, XC = 90, CD = 400, CM = 900
- Conversion between Arabic and Roman numerals is essential for arithmetic.
- Perform arithmetic in Arabic numbers, then convert back to Roman numerals.

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