Roman Numerals 1 to 30
Question 1: Write the following in Roman numerals :
(a) 258
(b) 410
(c) 285
(d) 335
(e) 444
(f) 247
(g) 438
(h) 365
(i) 495
(j) 466
(a) 258 = 200 + 50 + 8 = CC + L + VIII = CCLVIII
View Answer- Break down 258 into its parts: 200 + 50 + 8.
- Roman numeral for 200 is CC.
- Roman numeral for 50 is L.
- Roman numeral for 8 is VIII.
- Combine them: CC + L + VIII = CCLVIII.
(b) 410 = 400 + 10 = CD + X = CDX
View Answer- Break down 410 into its parts: 400 + 10.
- Roman numeral for 400 is CD.
- Roman numeral for 10 is X.
- Combine them: CD + X = CDX.
(c) 285 = 200 + 80 + 5 = CC + LXXX + V = CCLXXXV
View Answer- Break down 285 into its parts: 200 + 80 + 5.
- Roman numeral for 200 is CC.
- Roman numeral for 80 is LXXX.
- Roman numeral for 5 is V.
- Combine them: CC + LXXX + V = CCLXXXV.
(d) 335 = 300 + 30 + 5 = CCC + X X X + V = CCCXXXV
View Answer- Break down 335 into its parts: 300 + 30 + 5.
- Roman numeral for 300 is CCC.
- Roman numeral for 30 is XXX.
- Roman numeral for 5 is V.
- Combine them: CCC + XXX + V = CCCXXXV.
(e) 444 = 400 + 40 + 4 = CD + XL + IV = CDXLIV
View Answer- Break down 444 into its parts: 400 + 40 + 4.
- Roman numeral for 400 is CD.
- Roman numeral for 40 is XL.
- Roman numeral for 4 is IV.
- Combine them: CD + XL + IV = CDXLIV.
(f) 247 = 200 + 40 + 7 = CC + X L + VII = CCXLVII
View Answer- Break down 247 into its parts: 200 + 40 + 7.
- Roman numeral for 200 is CC.
- Roman numeral for 40 is XL.
- Roman numeral for 7 is VII.
- Combine them: CC + XL + VII = CCXLVII.
(g) 438 = 400 + 30 + 8 = CD + X X X + VIII = CDXXXVIII
View Answer- Break down 438 into its parts: 400 + 30 + 8.
- Roman numeral for 400 is CD.
- Roman numeral for 30 is XXX.
- Roman numeral for 8 is VIII.
- Combine them: CD + XXX + VIII = CDXXXVIII.
(h) 365 = 300 + 60 + 5 = CCC + LX + V = CCCLXV
View Answer- Break down 365 into its parts: 300 + 60 + 5.
- Roman numeral for 300 is CCC.
- Roman numeral for 60 is LX.
- Roman numeral for 5 is V.
- Combine them: CCC + LX + V = CCCLXV.
(i) 495 = 400 + 90 + 5 = CD + X C + V = CDXCV
View Answer- Break down 495 into its parts: 400 + 90 + 5.
- Roman numeral for 400 is CD.
- Roman numeral for 90 is XC.
- Roman numeral for 5 is V.
- Combine them: CD + XC + V = CDXCV.
(j) 466 = 400 + 60 + 6 = CD +LX + VI = CDLXVI
View Answer- Break down 466 into its parts: 400 + 60 + 6.
- Roman numeral for 400 is CD.
- Roman numeral for 60 is LX.
- Roman numeral for 6 is VI.
- Combine them: CD + LX + VI = CDLXVI.
Question 2: Write the following in Roman numerals :
(a) 42
(b) 63
(c) 85
(d) 99
(e) 105
(f) 109
(g) 115
(h) 136
(i) 171
(j) 184
(k) 197
(l) 200
(a) 42 = 40 + 2 = X L + II = XLII
View Answer- Break down 42 into its parts: 40 + 2.
- Roman numeral for 40 is XL.
- Roman numeral for 2 is II.
- Combine them: XL + II = XLII.
(b) 63 = 60 + 3 = LX + III = LXIII
View Answer- Break down 63 into its parts: 60 + 3.
- Roman numeral for 60 is LX.
- Roman numeral for 3 is III.
- Combine them: LX + III = LXIII.
(c) 85 = 80 + 5 = LXXX + V = LXXXV
View Answer- Break down 85 into its parts: 80 + 5.
- Roman numeral for 80 is LXXX.
- Roman numeral for 5 is V.
- Combine them: LXXX + V = LXXXV.
(d) 99 = 90 + 9 = X C + IX = XCIX
View Answer- Break down 99 into its parts: 90 + 9.
- Roman numeral for 90 is XC.
- Roman numeral for 9 is IX.
- Combine them: XC + IX = XCIX.
(e) 105 = 100 + 5 = C + V = CV
View Answer- Break down 105 into its parts: 100 + 5.
- Roman numeral for 100 is C.
- Roman numeral for 5 is V.
- Combine them: C + V = CV.
(f) 109 = 100 + 9 = C + IX = CIX
View Answer- Break down 109 into its parts: 100 + 9.
- Roman numeral for 100 is C.
- Roman numeral for 9 is IX.
- Combine them: C + IX = CIX.
(g) 115 = 100 + 10 + 5 = C + X + V = CXV
View Answer- Break down 115 into its parts: 100 + 10 + 5.
- Roman numeral for 100 is C.
- Roman numeral for 10 is X.
- Roman numeral for 5 is V.
- Combine them: C + X + V = CXV.
(h) 136 = 100 + 30 + 6 = C + XXX + VI = CXXXVI
View Answer- Break down 136 into its parts: 100 + 30 + 6.
- Roman numeral for 100 is C.
- Roman numeral for 30 is XXX.
- Roman numeral for 6 is VI.
- Combine them: C + XXX + VI = CXXXVI.
(i) 171 = 100 + 70 + 1 = C + LXX + I = CLXXI
View Answer- Break down 171 into its parts: 100 + 70 + 1.
- Roman numeral for 100 is C.
- Roman numeral for 70 is LXX.
- Roman numeral for 1 is I.
- Combine them: C + LXX + I = CLXXI.
(j) 184 = 100 + 80 + 4 = C + LXXX + IV = CLXXXIV
View Answer- Break down 184 into its parts: 100 + 80 + 4.
- Roman numeral for 100 is C.
- Roman numeral for 80 is LXXX.
- Roman numeral for 4 is IV.
- Combine them: C + LXXX + IV = CLXXXIV.
(k) 197 = 100 + 90 + 7 = C + XC + VII = CXCVII
View Answer- Break down 197 into its parts: 100 + 90 + 7.
- Roman numeral for 100 is C.
- Roman numeral for 90 is XC.
- Roman numeral for 7 is VII.
- Combine them: C + XC + VII = CXCVII.
(l) 200 = 100 + 100 = C + C = CC
View Answer- Break down 200 into its parts: 100 + 100.
- Roman numeral for 100 is C.
- Combine them: C + C = CC.
Question 3: Write the Hindu-Arabic numerals for each of the following :
(a) CCCXIV
(b) CDXL
(c) DCI
(d) CCCLXXVI
(e) DXVIII
(f) CCCXX XVIII
(g) CDXXXVIII
(a) CCCXIV = CCC + X + IV = 300 + 10 + 4 = 314
View Answer- Roman numerals: CCC + X + IV.
- CCC = 300, X = 10, IV = 4.
- Combine them: 300 + 10 + 4 = 314.
(b) CDXL = CD + XL = 400 + 40 = 440
View Answer- Roman numerals: CD + XL.
- CD = 400, XL = 40.
- Combine them: 400 + 40 = 440.
(c) DCI = D + C + 1 = 500 + 100 + 1 = 601
View Answer- Roman numerals: D + C + I.
- D = 500, C = 100, I = 1.
- Combine them: 500 + 100 + 1 = 601.
(d) CCCLXX VI = CCC + L + XX + VI = 300 + 70 + 6 = 376
View Answer- Roman numerals: CCC + L + XX + VI.
- CCC = 300, L = 50, XX = 20, VI = 6.
- Combine them: 300 + 50 + 20 + 6 = 376.
(e) DXVIII = D + X + VIII = 500 + 10 + 8 = 518
View Answer- Roman numerals: D + X + VIII.
- D = 500, X = 10, VIII = 8.
- Combine them: 500 + 10 + 8 = 518.
(f) CCCXXXVII = CCC + XXX + VII = 300 + 30 + 7 = 337
View Answer- Roman numerals: CCC + XXX + VII.
- CCC = 300, XXX = 30, VII = 7.
- Combine them: 300 + 30 + 7 = 337.
(g) CDX X X VIII = CD + XXX + VIII = 400 + 30 + 8 = 438
View Answer- Roman numerals: CD + XXX + VIII.
- CD = 400, XXX = 30, VIII = 8.
- Combine them: 400 + 30 + 8 = 438.
Question 4: Write the Hindu-Arabic numerals for each of the following:
(a) XLV
(b) LVII
(c) XCVIII
(d) LXXXVI
(e) CIV
(f) CXVI
(g) CXXXIX
(h) CLVIII
(i) CLXII
(j) CLXXVI
(k) CXCVIII
(l) CXCIX
(a) XLV = XL + V = 40 + 5 = 45
View Answer- XL = 40 (since X (10) before L (50) means subtract 10 from 50)
- V = 5
- Total: 40 + 5 = 45
(b) LVII = L + VII = 50 + 7 = 57
View Answer- L = 50
- VII = 7 (V = 5 and II = 2)
- Total: 50 + 7 = 57
(c) XCVIII = XC + VIII = 90 + 8 = 98
View Answer- XC = 90 (since X (10) before C (100) means subtract 10 from 100)
- VIII = 8 (V = 5 and III = 3)
- Total: 90 + 8 = 98
(d) LX X X VI = L + XXX + VI = 50 + 30 + 6 = 86
View Answer- L = 50
- XXX = 30 (X = 10, so XXX = 10 + 10 + 10 = 30)
- VI = 6 (V = 5 and I = 1)
- Total: 50 + 30 + 6 = 86
(e) CIV = C + IV = 100 + 4 = 104
View Answer- C = 100
- IV = 4 (since I (1) before V (5) means subtract 1 from 5)
- Total: 100 + 4 = 104
(f) CXVI = C + X + VI = 100 + 10 + 6 = 116
View Answer- C = 100
- X = 10
- VI = 6 (V = 5 and I = 1)
- Total: 100 + 10 + 6 = 116
(g) CXXXIX = C + XXX + IX = 100 + 30 + 9 = 139
View Answer- C = 100
- XXX = 30 (X = 10, so XXX = 10 + 10 + 10 = 30)
- IX = 9 (since I (1) before X (10) means subtract 1 from 10)
- Total: 100 + 30 + 9 = 139
(h) CLVIII = C + L + VIII = 100 + 50 + 8 = 158
View Answer- C = 100
- L = 50
- VIII = 8 (V = 5 and III = 3)
- Total: 100 + 50 + 8 = 158
(i) CLX II = C + LX + II = 100 + 60 + 2 = 162
View Answer- C = 100
- LX = 60 (L = 50 and X = 10)
- II = 2
- Total: 100 + 60 + 2 = 162
(j) CLXXVI = C + LXX + VI = 100 + 70 + 6 = 176
View Answer- C = 100
- LXX = 70 (L = 50 and XX = 20)
- VI = 6 (V = 5 and I = 1)
- Total: 100 + 70 + 6 = 176
(k) CXCVIII = C + XC + VIII = 100 + 90 + 8 = 198
View Answer- C = 100
- XC = 90 (since X (10) before C (100) means subtract 10 from 100)
- VIII = 8 (V = 5 and III = 3)
- Total: 100 + 90 + 8 = 198
(l) CXCIX = C + XC + IX = 100 + 90 + 9 = 199.
View Answer- C = 100
- XC = 90 (since X (10) before C (100) means subtract 10 from 100)
- IX = 9 (since I (1) before X (10) means subtract 1 from 10)
- Total: 100 + 90 + 9 = 199