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0.1÷(0.2÷0.3)÷(0.3÷0.4)÷(0.4÷0.5)÷(0.5÷0.6)÷(0.6÷0.7)÷(0.7÷0.8)÷(0.8÷0.9)
分析:原题=
1
10
÷
2
3
÷
3
4
÷
4
5
÷
5
6
÷
6
7
÷
7
8
÷
8
9
,然后根据除以一个数等于乘除数的倒数,都转化为乘法,然后约分即可.
解答:解:0.1÷(0.2÷0.3)÷(0.3÷0.4)÷(0.4÷0.5)÷(0.5÷0.6)÷(0.6÷0.7)÷(0.7÷0.8)÷(0.8÷0.9),
=
1
10
÷
2
3
÷
3
4
÷
4
5
÷
5
6
÷
6
7
÷
7
8
÷
8
9

=
1
10
×
3
2
×
4
3
×
5
4
×
6
5
×
7
6
×
8
7
×
9
8

=
9
20
点评:把本题中的除法根据除以一个数等于乘除数的倒数,都转化为乘法,是解答此题的关键.
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