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Without making any actual division, show that each of the following numbers is divisible by 11.(i) 11011(ii) 110011(iii) 11000011 |
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Answer» (i) 11011 = 11000+ 11 = 11 x (1000+ 1) = 11 x 1001 Clearly, 11011 is divisible by 11. (ii) 110011 = 110000+ 11 = 11 x (10000+ 1) = 11 x 10001 Clearly, 110011 is divisible by 11. (iii) 11000011 = 11000000+ 11 = 11 x (1000000+ 1) = 11 x 1000001 Clearly, 110000 is divisible by 11. |
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