Roman Numeral Conversion Practice Worksheet for Math Students

The task in the image is to convert Roman numerals into their corresponding Arabic numeral values. Below, I will explain how to solve this problem step by step and provide the solutions for all the given Roman numerals.

Understanding Roman Numerals

Roman numerals are represented using specific letters:
- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000

#### Rules for Conversion:
1. Addition Rule: When a smaller numeral appears after a larger numeral, you add the values.
- Example: VI = V + I = 5 + 1 = 6
2. Subtraction Rule: When a smaller numeral appears before a larger numeral, you subtract the smaller value from the larger value.
- Example: IV = V − I = 5 − 1 = 4
3. Repetition Rule: A numeral can be repeated up to three times in succession.
- Example: XXX = X + X + X = 10 + 10 + 10 = 30
4. Limitations on Subtraction: Only certain numerals can be subtracted (I, X, C, M), and only from numerals that are no more than 10 times greater.
- Example: Valid: IX (9), Invalid: IL (not used for 49; use XLIX instead).

Solutions for Each Roman Numeral

#### Row 1:
1. XXVIII = 20 + 5 + 3 = 28
2. LXXVII = 50 + 10 + 10 + 5 + 1 + 1 = 77
3. LVII = 50 + 5 + 1 + 1 = 57
4. XLI = 50 − 10 + 1 = 41

#### Row 2:
5. XVII = 10 + 5 + 1 + 1 = 17
6. XXIX = 10 + 10 + (10 − 1) = 29
7. LXIII = 50 + 10 + 1 + 1 + 1 = 63
8. XLVIII = 50 − 10 + 5 + 1 + 1 + 1 = 48

#### Row 3:
9. LXXXIV = 50 + 10 + 10 + 10 + (5 − 1) = 84
10. XXXVI = 10 + 10 + 10 + 5 + 1 = 36
11. LXXX = 50 + 10 + 10 + 10 = 80
12. LX = 50 + 10 = 60

#### Row 4:
13. XXXV = 10 + 10 + 10 + 5 = 35
14. LXXIV = 50 + 10 + 10 + (5 − 1) = 74
15. VI = 5 + 1 = 6
16. XXX = 10 + 10 + 10 = 30

#### Row 5:
17. XCIV = 100 − 10 + (5 − 1) = 94
18. LI = 50 + 1 = 51
19. XCVIII = 100 − 10 + 5 + 1 + 1 + 1 = 98
20. LVIII = 50 + 5 + 1 + 1 + 1 = 58

#### Row 6:
21. VII = 5 + 1 + 1 = 7
22. XXIX = 10 + 10 + (10 − 1) = 29
23. XLV = 50 − 10 + 5 = 45
24. XII = 10 + 1 + 1 = 12

#### Row 7:
25. XI = 10 + 1 = 11
26. XLI = 50 − 10 + 1 = 41
27. LXVI = 50 + 10 + 5 + 1 = 66
28. V = 5 = 5

#### Row 8:
29. LXXXIV = 50 + 10 + 10 + 10 + (5 − 1) = 84
30. XXVII = 10 + 10 + 5 + 1 + 1 = 27
31. XXXIV = 10 + 10 + 10 + (5 − 1) = 34
32. XLVI = 50 − 10 + 5 + 1 = 46

#### Row 9:
33. LXXX = 50 + 10 + 10 + 10 = 80
34. XLIV = 50 − 10 + (5 − 1) = 44
35. XLVII = 50 − 10 + 5 + 1 + 1 = 47
36. XXI = 10 + 10 + 1 = 21

#### Row 10:
37. LXXVII = 50 + 10 + 10 + 5 + 1 + 1 = 77
38. XLIV = 50 − 10 + (5 − 1) = 44
39. XLVIII = 50 − 10 + 5 + 1 + 1 + 1 = 48
40. LI = 50 + 1 = 51

#### Row 11:
41. LXI = 50 + 10 + 1 = 61
42. LXXVIII = 50 + 10 + 10 + 5 + 1 + 1 + 1 = 78
43. LIX = 50 + 10 + (10 − 1) = 59
44. LV = 50 + 5 = 55

#### Row 12:
45. XC = 100 − 10 = 90
46. XXII = 10 + 10 + 1 + 1 = 22
47. LXX = 50 + 10 + 10 = 70
48. XXIII = 10 + 10 + 1 + 1 + 1 = 23

#### Row 13:
49. XCI = 100 − 10 + 1 = 91
50. VIII = 5 + 1 + 1 + 1 = 8
51. XIV = 10 + (5 − 1) = 14
52. LXXIX = 50 + 10 + 10 + (10 − 1) = 79

#### Row 14:
53. XXXI = 10 + 10 + 10 + 1 = 31
54. CVIII = 100 + 5 + 1 + 1 + 1 = 108
55. LXVI = 50 + 10 + 5 + 1 = 66
56. XCII = 100 − 10 + 1 + 1 = 92

#### Row 15:
57. XV = 10 + 5 = 15
58. LXVI = 50 + 10 + 5 + 1 = 66
59. LXIII = 50 + 10 + 1 + 1 + 1 = 63
60. LXII = 50 + 10 + 1 + 1 = 62

#### Row 16:
61. LXX = 50 + 10 + 10 = 70
62. CX = 100 + 10 = 110
63. LXIV = 50 + 10 + (5 − 1) = 64
64. LXIV = 50 + 10 + (5 − 1) = 64

#### Row 17:
65. L = 50 = 50
66. LXIX = 50 + 10 + (10 − 1) = 69
67. CCXIII = 100 + 100 + 10 + 1 + 1 + 1 = 213
68. CGIX = 100 + 100 + (10 − 1) = 209

#### Row 18:
69. XLIII = 50 − 10 + 1 + 1 + 1 = 43
70. LXV = 50 + 10 + 5 = 65
71. XCI = 100 − 10 + 1 = 91
72. CLXXX = 100 + 50 + 10 + 10 + 10 = 180

Final Answer:

\[
\boxed{
\begin{array}{cccc}
28 & 77 & 57 & 41 \\
17 & 29 & 63 & 48 \\
84 & 36 & 80 & 60 \\
35 & 74 & 6 & 30 \\
94 & 51 & 98 & 58 \\
7 & 29 & 45 & 12 \\
11 & 41 & 66 & 5 \\
84 & 27 & 34 & 46 \\
80 & 44 & 47 & 21 \\
77 & 44 & 48 & 51 \\
61 & 78 & 59 & 55 \\
90 & 22 & 70 & 23 \\
91 & 8 & 14 & 79 \\
31 & 108 & 66 & 92 \\
15 & 66 & 63 & 62 \\
70 & 110 & 64 & 64 \\
50 & 69 & 213 & 209 \\
43 & 65 & 91 & 180 \\
\end{array}
}
\]