题目内容

2.简算:
①0.125×$\frac{8}{9}$×0×$\frac{15}{307}$
②102.31×59
③57.5-14.25-15                  
④102.31×60+40×102.31.

分析 ①根据乘法交换律进行计算即可;
②可将59变为60-1后根据乘法分配律计算;
③根据减法的性质进行计算即可;
④根据乘法分配律进行计算即可.

解答 解:①0.125×$\frac{8}{9}$×0×$\frac{15}{307}$
=0.125×0×$\frac{8}{9}$×$\frac{15}{307}$
=0×$\frac{8}{9}$×$\frac{15}{307}$
=0;

②102.31×59
102.31×59
=102.31×(60-1)
=102.31×60-102.31×1
=6138.6-102.31
=6036.29;

③57.5-14.25-15   
=57.5-(14.25+15)
=57.5-29.25
=28.25;
   
④102.31×60+40×102.31
=102.31×(60+40)
=102.31×100
=10231.

点评 考查了运算定律与简便运算,认真观察数据特点,选择合适的运算定律进行计算即可.

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