Let's solve this step-by-step. The worksheet asks you to:
1.
Convert Roman numerals to Arabic numbers (e.g., CC → 200).
2.
Convert Arabic numbers to Roman numerals (e.g., 150 → CL).
We’ll use the reference chart at the top:
-
1s: I=1, II=2, III=3, IV=4, V=5, VI=6, VII=7, VIII=8, IX=9, X=10
-
10s: X=10, XX=20, XXX=30, XL=40, L=50, LX=60, LXX=70, LXXX=80, XC=90, C=100
-
100s: C=100, CC=200, CCC=300, CD=400, D=500, DC=600, DCC=700, DCCC=800, CM=900, M=1000
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Part 1: Convert Roman Numerals to Numbers
1)
CC = 200
→ C = 100, so CC = 100 + 100 =
200
2)
CL = 150
→ C = 100, L = 50 → 100 + 50 =
150
3)
CDV = 405
→ CD = 400 (C before D means 500 - 100), V = 5 → 400 + 5 =
405
4)
DLX = 560
→ D = 500, L = 50, X = 10 → 500 + 50 + 10 =
560
5)
CML = 950
→ CM = 900 (C before M = 1000 - 100), L = 50 → 900 + 50 =
950
6)
CXXV = 125
→ C = 100, XX = 20, V = 5 → 100 + 20 + 5 =
125
7)
DLVI = 556
→ D = 500, L = 50, V = 5, I = 1 → 500 + 50 + 5 + 1 =
556
8)
CXC = 190
→ C = 100, XC = 90 (X before C = 100 - 10) → 100 + 90 =
190
9)
DCCX = 710
→ D = 500, CC = 200, X = 10 → 500 + 200 + 10 =
710
10)
DLXXII = 572
→ D = 500, L = 50, XX = 20, II = 2 → 500 + 50 + 20 + 2 =
572
11)
CLXXIX = 179
→ C = 100, L = 50, XX = 20, IX = 9 → 100 + 50 + 20 + 9 =
179
12)
DCCLXX = 770
→ D = 500, CC = 200, L = 50, XX = 20 → 500 + 200 + 50 + 20 =
770
13)
CMXXXVII = 937
→ CM = 900, XXX = 30, VII = 7 → 900 + 30 + 7 =
937
14)
DCLXXXIV = 684
→ D = 500, C = 100, L = 50, XXX = 30, IV = 4 → 500 + 100 + 50 + 30 + 4 =
684
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Part 2: Convert Numbers to Roman Numerals
Now we go the other way.
1)
150 =
CL
→ 100 (C) + 50 (L) = CL
2)
320 =
CCCXX
→ 300 (CCC) + 20 (XX) = CCCXX
3)
615 =
DCXV
→ 500 (D) + 100 (C) + 10 (X) + 5 (V) = DCXV
4)
94 =
XCIV
→ 90 (XC) + 4 (IV) = XCIV
5)
412 =
CDXII
→ 400 (CD) + 10 (X) + 2 (II) = CDXII
6)
541 =
DXLI
→ 500 (D) + 40 (XL) + 1 (I) = DXLI
7)
225 =
CCXXV
→ 200 (CC) + 20 (XX) + 5 (V) = CCXXV
8)
532 =
DXXXII
→ 500 (D) + 30 (XXX) + 2 (II) = DXXXII
9)
809 =
DCCCIX
→ 800 (DCCC) + 9 (IX) = DCCCIX
10)
674 =
DCLXXIV
→ 600 (DC) + 70 (LXX) + 4 (IV) = DCLXXIV
11)
298 =
CCXCVIII
→ 200 (CC) + 90 (XC) + 8 (VIII) = CCXCVIII
12)
943 =
CMXLIII
→ 900 (CM) + 40 (XL) + 3 (III) = CMXLIII
13)
477 =
CDLXXVII
→ 400 (CD) + 70 (LXX) + 7 (VII) = CDLXXVII
14)
839 =
DCCCXXXIX
→ 800 (DCCC) + 30 (XXX) + 9 (IX) = DCCCXXXIX
---
✔ Final Answers:
#### Part 1: Roman to Arabic
1) CC =
200
2) CL =
150
3) CDV =
405
4) DLX =
560
5) CML =
950
6) CXXV =
125
7) DLVI =
556
8) CXC =
190
9) DCCX =
710
10) DLXXII =
572
11) CLXXIX =
179
12) DCCLXX =
770
13) CMXXXVII =
937
14) DCLXXXIV =
684
#### Part 2: Arabic to Roman
1) 150 =
CL
2) 320 =
CCCXX
3) 615 =
DCXV
4) 94 =
XCIV
5) 412 =
CDXII
6) 541 =
DXLI
7) 225 =
CCXXV
8) 532 =
DXXXII
9) 809 =
DCCCIX
10) 674 =
DCLXXIV
11) 298 =
CCXCVIII
12) 943 =
CMXLIII
13) 477 =
CDLXXVII
14) 839 =
DCCCXXXIX
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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 numeral practice worksheet.