Let's solve the Roman numeral problems step by step.
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Part 1: Write the correct number next to each Roman numeral
We are given a chart of Roman numerals and need to convert them to Arabic (standard) numbers.
#### Reference:
- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000
Rules:
- When a smaller numeral appears before a larger one, it is subtracted.
- e.g., IV = 4 (5 - 1), IX = 9 (10 - 1)
- Otherwise, add the values.
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Now, let’s convert each:
1.
CL = 100 + 50 =
150
2.
XL = 50 - 10 =
40
3.
DCX = 500 + 100 + 10 =
610
4.
CXXV = 100 + 10 + 10 + 5 =
125
5.
CML = 900 + 50 =
950
- CM = 900 (1000 - 100), then L = 50 → 950
6.
DCCXL = 500 + 100 + 100 + 40 =
740
- DCC = 700, XL = 40 → 740
7.
CMXXX = 900 + 30 =
930
8.
DCXXXIX = 500 + 100 + 10 + 10 + 10 + 9 =
639
- XXX = 30, IX = 9 → 639
9.
CDLXXXVII = 400 + 80 + 7 =
487
- CD = 400, LXXX = 80, VII = 7 → 487
10.
DCLXXXIX = 500 + 100 + 80 + 9 =
689
- LXXX = 80, IX = 9 → 689
✔ Part 1 Answers:
1. 150
2. 40
3. 610
4. 125
5. 950
6. 740
7. 930
8. 639
9. 487
10. 689
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Part 2: Write the correct Roman numeral next to each number
Now convert Arabic numbers to Roman numerals.
#### Step-by-step conversions:
1.
310
- 300 = CCC, 10 = X →
CCCX
2.
490
- 400 = CD, 90 = XC →
CDXC
3.
615
- 600 = DC, 15 = XV →
DCXV
4.
162
- 100 = C, 60 = LX, 2 = II →
CLXII
5.
542
- 500 = D, 40 = XL, 2 = II →
DXLII
6.
474
- 400 = CD, 70 = LXX, 4 = IV →
CDLXXIV
7.
296
- 200 = CC, 90 = XC, 6 = VI →
CCXCVI
8.
451
- 400 = CD, 50 = L, 1 = I →
CDLI
9.
477
- 400 = CD, 70 = LXX, 7 = VII →
CDLXXVII
10.
619
- 600 = DC, 10 = X, 9 = IX →
DCXIX
✔ Part 2 Answers:
1. CCCX
2. CDXC
3. DCXV
4. CLXII
5. DXLII
6. CDLXXIV
7. CCXCVI
8. CDLI
9. CDLXXVII
10. DCXIX
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✔ Final Answer Key:
#### Part 1: Roman Numeral to Number
1. 150
2. 40
3. 610
4. 125
5. 950
6. 740
7. 930
8. 639
9. 487
10. 689
#### Part 2: Number to Roman Numeral
1. CCCX
2. CDXC
3. DCXV
4. CLXII
5. DXLII
6. CDLXXIV
7. CCXCVI
8. CDLI
9. CDLXXVII
10. DCXIX
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of roman numeral worksheet high school.