用简便方法计算:9/10+99/100+999/1000+9999/10000+99999/100000.

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用简便方法计算:9/10+99/100+999/1000+9999/10000+99999/100000.
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用简便方法计算:9/10+99/100+999/1000+9999/10000+99999/100000.
用简便方法计算:9/10+99/100+999/1000+9999/10000+99999/100000.

用简便方法计算:9/10+99/100+999/1000+9999/10000+99999/100000.
9/10+99/100+999/1000+9999/10000+99999/100000
=0.9+0.99+0.999+0.9999+0.99999
=(1-0.1)+(1-0.01)+(1-0.001)+(1-0.0001)+(1-0.00001)
=5-(0.1+0.01+0.001+0.0001+0.00001)
=5-0.11111
=4.88889
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