Let’s solve each problem step by step. We’ll use the rules from the worksheet:
- Roman numerals: I=1, V=5, X=10, L=50, C=100
- If a smaller number comes BEFORE a larger one → subtract (like IV = 5 - 1 = 4)
- If a smaller number comes AFTER a larger one → add (like VI = 5 + 1 = 6)
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Part 1: Write Arabic numbers. Use addition for these.
These are all cases where we just add — no subtraction needed because smaller numbers come after larger ones.
1.
XI
X = 10, I = 1 → 10 + 1 =
11
2.
VII
V = 5, I = 1, I = 1 → 5 + 1 + 1 =
7
3.
CLV
C = 100, L = 50, V = 5 → 100 + 50 + 5 =
155
4.
III
I + I + I = 1 + 1 + 1 =
3
5.
CCX
C = 100, C = 100, X = 10 → 100 + 100 + 10 =
210
6.
CCCXVIII
C+C+C = 300, X = 10, V = 5, I+I+I = 3 → 300 + 10 + 5 + 3 =
318
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Part 2: Write Arabic numbers. These require subtraction.
Look for small before large → subtract.
7.
IX
I before X → 10 - 1 =
9
8.
XL
X before L → 50 - 10 =
40
9.
IV
I before V → 5 - 1 =
4
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Part 3: You may need to add and/or subtract.
Break them into parts. Look for subtraction pairs first.
10.
XXIX
XX = 20, IX = 9 → 20 + 9 =
29
11.
XIV
X = 10, IV = 4 → 10 + 4 =
14
12.
XVI
X = 10, V = 5, I = 1 → 10 + 5 + 1 =
16
13.
CIX
C = 100, IX = 9 → 100 + 9 =
109
14.
CCC
C + C + C = 100 + 100 + 100 =
300
15.
XLII
XL = 40, II = 2 → 40 + 2 =
42
16.
CXC
C = 100, XC = 90 → 100 + 90 =
190
17.
VIII
V = 5, I+I+I = 3 → 5 + 3 =
8
18.
CXCIX
C = 100, XC = 90, IX = 9 → 100 + 90 + 9 =
199
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Final Answer:
1. 11
2. 7
3. 155
4. 3
5. 210
6. 318
7. 9
8. 40
9. 4
10. 29
11. 14
12. 16
13. 109
14. 300
15. 42
16. 190
17. 8
18. 199
Parent Tip: Review the logic above to help your child master the concept of free roman numeral worksheet.