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Evaluate the following:(i) 35 × 37(ii) 53 × 55(iii) 103 × 96 |
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Answer» (i) 35 × 37 We can express 35 as 30 + 5 and 37 as 30 + 7 = 35 × 37 = (30 + 5) (30 + 7) = 30 (30 + 7) + 5 (30 + 7) = 900 + 210 + 150 + 35 = 1295 (ii) 53 × 55 We can express 53 as 50 + 3 and 55 as 50 + 5 = 53 × 55 = (50 + 3) (50 + 5) = 50(50 + 5) + 3 (50 + 5) = 2500 + 250 + 150 + 15 = 2915 (iii) 103 × 96 We can express 103 as 100 + 3 and 96 as 100 – 4 = 103 × 96 = (100 + 3) (100 – 4) = 100 (100 – 4) + 3 (100 – 4) = 10000 – 400 + 300 – 12 = 10000 – 112 = 9888 |
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