RS Aggarwal Solutions Class 6 Chapter 1 Number System Exercise 1G

  

EXERCISE-1G

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Question 1

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) $2=11$

(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) $91=\mathrm{XCl}$

(xii) $95=X C V$

(xiii) $99=$ XCIX

(xiv) $105=$ CV

(xv) $114=$ CXIV

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Question 2

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

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Question 3

Q.3. Write each of the following as a HinduArabic 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) $X X V I I=27$
(ii) $\operatorname{XXXIV}=34$
(iii) $X L V=45$
(iv) LIV $=54$
(v) LXXIV $=74$
(vi) $\mathrm{XCI}=91$
(vii) $X C V I=96$
(viii) CXI = 111
(ix) CLIV = 154
(x) CCXXIV = 224
(xi) $C C C L X V=365$
(xii) CDXIV $=414$
(xiii) CDLXIV $=464$
(xiv) DVI = 506
(xv) DCCLXVI $=766$

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Question 4

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
$\therefore \mathrm{VC}$ is wrong
(ii) I can be subtracted from $V$ and $X$ only
$\therefore \mathrm{IL}$ is wrong
(iii) $\mathrm{V}, \mathrm{L}, \mathrm{D}$ are never repeated
$\therefore \mathrm{VVII}$ is wrong
(iv) IX cannot occur to the left of $X$
$\therefore \mathrm{IXX}$ is wrong