(i) 2.5 × 0.3 = \(\frac{25}{10}\) × \(\frac{3}{10}\) = \(\frac{75}{100}\) = 0.75
(ii) 0.1 × 51.7 = \(\frac{1}{10}\) × \(\frac{517}{10}\) = 5.17
(iii) 0.2 × 316.8 = \(\frac{2}{10}\)× \(\frac{3168}{10}\) = \(\frac{6336}{100}\) = 63.36
(iv) 1.3 × 3.1 = \(\frac{13}{10}\) × \(\frac{31}{10}\) = \(\frac{403}{100}\) = 4.03
(v) 0.5 × 0.05 = \(\frac{5}{10}\) × \(\frac{5}{100}\) = \(\frac{25}{1000}\)= 0.025
(vi) 11.2 × 0.15 = \(\frac{112}{10}\) × \(\frac{15}{100}\) = \(\frac{1680}{1000}\) = 1.680 = 1.68
(vii) 1.07 × 0.02 = \(\frac{107}{100}\) × \(\frac{2}{100}\) = \(\frac{214}{10000}\) = 0.0214
(viii) 10.05 × 1.05 = \(\frac{1005}{100}\) ×\(\frac{105}{100}\) = \(\frac{105525}{10000}\)= 10.5525
(ix) 101.01 × 0.01 = \(\frac{10101}{100}\) × \(\frac{1}{100}\) = \(\frac{10101}{10000}\) = 1.0101
(x)100.01×1.1 = \(\frac{100001}{100}\) × \(\frac{11}{10}\) = \(\frac{110011}{1000}\) = 110.011
Match the items given in Column I with one or more items of Column II.
Column I | Column II |
(a) A plane mirror | (i) Used as a magnifying glass. |
(b) A convex mirror | (ii) Can form image of objects spread over a large area. |
(c) A convex lens | (iii) Used by dentists to see enlarged image of teeth. |
(d) A concave mirror | (iv) The image is always inverted and magnified. |
(e) A concave lens | (v) The image is erect and of the same size as the object. |
- | (vi) The image is erect and smaller in size than the object. |