2011-03-24
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三个数字中都是88个9么?
99......9=100......0-1 (88个0)
199......9 =(100......0+99......9)
原式=99......9*99......9+100......0+99......9
提取88个9
=99......9*(99......9+1)+10......0
=99......9*10......0+10......0
88个9 88个0
提取10......0,即10^88(10的88次方)
=10^88*(99......9+1)
=10^88*10^88
=10^176
99......9=100......0-1 (88个0)
199......9 =(100......0+99......9)
原式=99......9*99......9+100......0+99......9
提取88个9
=99......9*(99......9+1)+10......0
=99......9*10......0+10......0
88个9 88个0
提取10......0,即10^88(10的88次方)
=10^88*(99......9+1)
=10^88*10^88
=10^176
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