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1000.9+999.1+99.91+100.09+10.009+1.0009+0.9991 ...

(1)原式=1.0009×(1000+100+10+1)+0.9991×(1000+100+10+1) =1111×(1.009+0.9991) =2222(2)原式=3.33×2.4+3.33×7.6=33.3(3)原式=(23.4+0.1)×5.66-23.4 ×(5.66+0.01) =23.4×5.66 +5.66×0.l-23.4×5 66-23.4×0.01 =0.332(4)原式 =...

(1000.9+999.1)+(99.91+100.09)+(10.009+9.991)+(1.0009+0.9991)

设这里每项构成的数列为{an}, a1=1.1(0个9)(1) a2=1.91(1个9)(2) ......a 101=1.(100个9)1(101) b1=a2-a1=1.91-1.1=0.81(1)(1个0) b2=a3-a2=1.991-1.91=0.081(2)(2个0) b3=a4-a3=1.9991-1.991=0.0081(3)(3个0) ... b99=a100-a99=...

=99.91^5=9955080927.133 如满意,请采纳!

9991+999.1+99.91+9.991 =(10000-9)+(1000-0.9)+(100-0.09)+(10-0.009) =(10000+1000+100+10)-(9+0.9+0.09+0.009) =11110-9.999 =11100.001

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