请用简便方法计算(请把过程写出来)
(1)1-0.1-0.01-0.001-0.0001(2)0.9+0.99+0.999+0.9999...
(1)1-0.1-0.01-0.001-0.0001
(2)0.9+0.99+0.999+0.9999 展开
(2)0.9+0.99+0.999+0.9999 展开
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(2)=1-0.1+1-0.01+1-0.001+1-0.0001
=4-0.1111
=3.8889
(1)1-0.1-0.01-0.001-0.0001 =1-(0.1+0.01+0.001+0.0001 )
=1-0.1111=0.8889
=4-0.1111
=3.8889
(1)1-0.1-0.01-0.001-0.0001 =1-(0.1+0.01+0.001+0.0001 )
=1-0.1111=0.8889
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(1)1-0.1-0.01-0.001-0.0001
=1-(0.1+0.01+0.001+0.0001)
=1-0.1111
=0.8889
(2)0.9+0.99+0.999+0.9999
=(1-0.1)+(1-0.01)+(1-0.001)+(1-0.0001)
=1-0.1+1-0.01+1-0.001+1-0.0001
=1+1+1+1-(0.1+0.01+0.001+0.0001)
=4-0.1111
=3.8889
=1-(0.1+0.01+0.001+0.0001)
=1-0.1111
=0.8889
(2)0.9+0.99+0.999+0.9999
=(1-0.1)+(1-0.01)+(1-0.001)+(1-0.0001)
=1-0.1+1-0.01+1-0.001+1-0.0001
=1+1+1+1-(0.1+0.01+0.001+0.0001)
=4-0.1111
=3.8889
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方法是运算的先后顺序与数据的拆分与合并
(1)1-0.1-0.01-0.001-0.0001
=1-(0.1+0.01+0.001+0.0001)
=1-0.1111
=0.8889
(2)0.9+0.99+0.999+0.9999
=1-0.1+1-0.01+1-0.001+1-0.0001
=4-(0.1+0.01+0.001+0.0001)
=4-0.1111
=3.8889
(1)1-0.1-0.01-0.001-0.0001
=1-(0.1+0.01+0.001+0.0001)
=1-0.1111
=0.8889
(2)0.9+0.99+0.999+0.9999
=1-0.1+1-0.01+1-0.001+1-0.0001
=4-(0.1+0.01+0.001+0.0001)
=4-0.1111
=3.8889
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评论
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