999.9*999.9+199.99巧算

问题描述:

999.9*999.9+199.99巧算
顺便一起接了!
(10.1-1.009-2)*0.49+0.51*(10.1-1.009+1)
111.1(2002个)*999...9(2002个)
越快越好!
1个回答 分类:数学 2014-10-23

问题解答:

我来补答
999.9*999.9+199.99
=(1000-0.1)*999.9+199.99
=999900-99.99+199.99
=999900+100
=1000000
(10.1-1.009-2)*0.49+0.51*(10.1-1.009+1)
=10.1*0.49-1.009*0.49-2*0.49+0.51*10.1-0.51*1.009+0.51*1
=10.1*(0.49+0.51)-1.009*(0.49*0.51)-2*(0.49+0.51)+0.51*3
=10.1-1.009-2+1.51
=10.1-1.009-0.49
=10.1-1.499
=10.1-1.5+0.001
=8.6+0.001
=8.601
111.1(2002个)*999...9(2002个)
=111.1(2002个)*1000000(2002个0)-111.1(2002个)*1
=111.1(2002个1)00000...00(2002个)-111.1(2002个)
=111...1(2001个1)888888(2001个8)9
 
 
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