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    				| 1. | Find the squares of the given numbers by using simple calculations.(i) 52(ii) 105(iii) \(20\frac{1}{2}\)(iv) 10.2 | 
| Answer» (i) 522 = (50 + 2)2 = 502 + 2 × 50 × 2 + 22 = 2500 + 200 + 4 = 2704 (ii) 1052 = (100 + 5)2 = 1002 + 2 × 100 × 5 + 52 = 10000 + 1000 + 25 = 11025 (iii) \((20\frac{1}{2})^2\) = \((20+\frac{1}{2})^2\) = 202 + 2 × 20 × \(\frac{1}{2}\) + \((\frac{1}{2})^2\) = 400 + 20 + \(\frac{1}{4}\) = 420\(\frac{1}{4}\) (iv) (10.2)2 = (10 + 0.2)2 = 102 + 2 × 10 × 0.2 + (0.2)2 = 100 + 4 + 0.04 = 104.04 | |