Roman numerals comparison worksheet for educational practice.

Let's solve the Roman numeral comparison problem step by step.

We need to convert each Roman numeral to its Arabic (standard) number, then compare it with the other number using `<`, `>`, or `=`.

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🔢 Roman Numeral Basics:

- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000

Rules:
- When a smaller numeral comes before a larger one, subtract it (e.g., IV = 4).
- Otherwise, add them (e.g., VI = 6).

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Now let’s go through each row:

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First Column

1. XXXV □ 28
XXXV = 10 + 10 + 10 + 5 = 35
35 > 28 → >

2. VIII □ 7
VIII = 5 + 1 + 1 + 1 = 8
8 > 7 → >

3. XXIX □ 36
XXIX = 10 + 10 + (10 - 1) = 20 + 9 = 29
29 < 36 → <

4. XVIII □ 15
XVIII = 10 + 5 + 1 + 1 + 1 = 18
18 > 15 → >

5. III □ 9
III = 1 + 1 + 1 = 3
3 < 9 → <

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Second Column

6. XIV □ 31
XIV = 10 + (5 - 1) = 10 + 4 = 14
14 < 31 → <

7. XXXI □ 12
XXXI = 10 + 10 + 10 + 1 = 31
31 > 12 → >

8. IV □ 4
IV = 5 - 1 = 4
4 = 4 → =

9. XX □ 25
XX = 10 + 10 = 20
20 < 25 → <

10. XVII □ 17
XVII = 10 + 5 + 1 + 1 = 17
17 = 17 → =

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Third Column (Roman vs Roman)

11. XXII □ XXII
XXII = 20 + 2 = 22
XXII = 22 → 22 = 22 → =

12. IX □ VI
IX = 10 - 1 = 9
VI = 5 + 1 = 6
9 > 6 → >

13. IV □ XIX
IV = 4
XIX = 10 + (10 - 1) = 10 + 9 = 19
4 < 19 → <

14. XXV □ XXXI
XXV = 20 + 5 = 25
XXXI = 30 + 1 = 31
25 < 31 → <

15. XXXVI □ XXI
XXXVI = 30 + 5 + 1 = 36
XXI = 20 + 1 = 21
36 > 21 → >

16. XXVI □ I
XXVI = 20 + 5 + 1 = 26
I = 1
26 > 1 → >

17. XXIX □ VIII
XXIX = 20 + 9 = 29
VIII = 8
29 > 8 → >

18. XXXIV □ XII
XXXIV = 30 + 4 = 34
XII = 10 + 2 = 12
34 > 12 → >

19. XVII □ XXXI
XVII = 17
XXXI = 31
17 < 31 → <

20. XVIII □ XIII
XVIII = 18
XIII = 10 + 3 = 13
18 > 13 → >

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✔ Final Answer Key:

```
XXXV > 28
VIII > 7
XXIX < 36
XVIII > 15
III < 9

XIV < 31
XXXI > 12
IV = 4
XX < 25
XVII = 17

XXII = XXII
IX > VI
IV < XIX
XXV < XXXI
XXXVI > XXI
XXVI > I
XXIX > VIII
XXXIV > XII
XVII < XXXI
XVIII > XIII
```

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📝 Summary:

You compare Roman numerals by converting them to numbers first, then applying the correct inequality sign.

Let me know if you'd like this as a printable answer sheet!