RS Aggarwal Solutions: Number System (Exercise 1G) | Mathematics (Maths) Class 6 PDF Download

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Q.1. Express each of the following as a Roman numeral :
(i) 2
(ii) 8
(iii) 14
(iv) 29
(v) 36
(vi) 43
(vii) 54

(viii) 61
(ix) 73

(x) 81
(xi) 9
(xii) 95

(xiii) 99

(xiv) 105

(xv) 114

Ans.
(i) 2 = II
(ii) 8 = VIII
(iii) 14 = XIV
(iv) 29 = XXIX

(v) 36 = XXXVI
(vi) 43 = XLIII

(vii) 54 = LIV

(viii) 61 = LXI

(ix) 73 = LXXIII
(x) 81 = LXXXI

(xi) 91 = XCI

(xii) 95 = XCV

(xiii) 99 = XCIX
(xiv) 105 = CV

(xv) 114 = CXIV

Q.2. Express each of the following as a Roman numeral :
(i) 164
(ii) 195
(iii) 226
(iv) 341
(v) 475
(vi) 596
(vii) 611
(viii) 759
Ans.
(i) 164 = CLXIV
(ii) 195 = CXCV

(iii) 226 = CCXXVI
(iv) 341 =CCCXLI

(v) 475 = CDLXXV
(vi) 596 = DXCVI
(vii) 611 = DCXI
(viii) 759 = DCCLIX

Q.3. Write each of the following as a Hindu-
Arabic numeral :
(i) XXVII
(ii) XXXIV
(iii) XLV
(iv) LIV
(v) LXXIV
(vi) XCI
(vii) XCVI
(viii) CXI
(ix) CLIV
(x) CCXXIV
(xi) CCCLXV
(xii) CDXIV
(xiii) CDLXIV
(xiv) DVI
(xv) DCCLXVI

Ans.
(i) XXVII = 27
(ii) XXXIV = 34

(iii) XLV = 45
(iv) LIV = 54

(v) LXXIV = 74
(vi) XCI = 91

(vii) XCVI = 96
(viii) CXI = 111

(ix) CLIV = 154
(x) CCXXIV = 224

(xi) CCCLXV = 365

(xii) CDXIV = 414

(xiii) CDLXIV = 464

(xiv) DVI = 506

(xv) DCCLXVI = 766

Q.4. Show that each of the following is meaningless. Give reason in each case.

(i) VC
(ii) IL
(iii) VVII
(iv) IXX
Ans. (i) V is never subtracted
∴ VC is wrong
(ii) I can be subtracted from V and X only
∴ IL is wrong
(iii) V, L, D are never repeated
∴ VVII is wrong
(iv) IX cannot occur to the left of X
∴ IXX is wrong