Let's solve this step-by-step. The worksheet asks you to:
1.
Convert Roman numerals to Arabic numbers (e.g., XVII → 17).
2.
Convert Arabic numbers to Roman numerals (e.g., 13 → XIII).
We'll use the basic Roman numeral symbols and their values:
| Symbol | Value |
|--------|-------|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
Rules for Roman Numerals:
- When a smaller numeral appears
before a larger one, it is
subtracted.
- e.g., IV = 5 - 1 = 4; IX = 10 - 1 = 9
- When a smaller numeral appears
after a larger one, it is
added.
- e.g., VI = 5 + 1 = 6; XV = 10 + 5 = 15
---
## Part 1: Convert Roman Numerals to Numbers
1)
XVII = 10 + 5 + 1 + 1 =
17
2)
XX = 10 + 10 =
20
3)
XIV = 10 + (5 - 1) = 10 + 4 =
14
4)
XXV = 10 + 10 + 5 =
25
5)
LI = 50 + 1 =
51
6)
XL = 50 - 10 =
40
7)
XXXVII = 10 + 10 + 10 + 5 + 1 + 1 =
37
8)
LXII = 50 + 10 + 1 + 1 =
62
9)
XLVI = (50 - 10) + 5 + 1 = 40 + 5 + 1 =
46
10)
XC = 100 - 10 =
90
11)
LXXIII = 50 + 10 + 10 + 1 + 1 + 1 =
73
12)
C =
100
13)
XXIX = 10 + 10 + (10 - 1) = 20 + 9 =
29
14)
XCVII = (100 - 10) + 5 + 1 + 1 = 90 + 7 =
97
---
## Part 2: Convert Numbers to Roman Numerals
1)
13 = 10 + 3 = X + III =
XIII
2)
30 = 10 × 3 =
XXX
3)
9 = 10 - 1 =
IX
4)
50 =
L
5)
25 = 10 + 10 + 5 =
XXV
6)
19 = 10 + (10 - 1) = X + IX =
XIX
7)
41 = (50 - 10) + 1 = XL + I =
XLI
8)
28 = 10 + 10 + 5 + 3 = XX + VIII =
XXVIII
9)
60 = 50 + 10 =
LX
10)
72 = 50 + 10 + 10 + 2 = L + XX + II =
LXXII
11)
80 = 50 + 10 + 10 + 10 =
LXXX
12)
59 = 50 + (10 - 1) = L + IX =
LIX
13)
90 = 100 - 10 =
XC
14)
88 = 50 + 10 + 10 + 10 + 5 + 3 = L + XXX + VIII =
LXXXVIII
---
Final Answers:
#### Part 1: Roman to Number
1) XVII =
17
2) XX =
20
3) XIV =
14
4) XXV =
25
5) LI =
51
6) XL =
40
7) XXXVII =
37
8) LXII =
62
9) XLVI =
46
10) XC =
90
11) LXXIII =
73
12) C =
100
13) XXIX =
29
14) XCVII =
97
#### Part 2: Number to Roman
1) 13 =
XIII
2) 30 =
XXX
3) 9 =
IX
4) 50 =
L
5) 25 =
XXV
6) 19 =
XIX
7) 41 =
XLI
8) 28 =
XXVIII
9) 60 =
LX
10) 72 =
LXXII
11) 80 =
LXXX
12) 59 =
LIX
13) 90 =
XC
14) 88 =
LXXXVIII
✔ All answers are now complete and correct! Let me know if you'd like a printable version or explanation of any specific conversion.
Parent Tip: Review the logic above to help your child master the concept of roman numerals worksheet for 6th grade.
