题目内容

简便计算:
0.36×72+8.4×3.6-560×0.036
999.99×222.22+333.33×333.34.
分析:①可将算式中的8.4×3.6转化为84×0.36,把560×0.036转化为56×0.36,然后再据分配律进行巧算;
②可将算式中的999.99×222.22分解为(333.33×3)×222.22,进而转化为333.33×666.66,然后再据分配律进行巧算.
解答:解:①0.36×72+8.4×3.6-560×0.036,
=0.36×72+8.4×(10×3.6)-(56×10)×0.036,
=0.36×72+(8.4×10)×0.36-56×(10×0.036),
=0.36×72+84×0.36-56×0.36,
=0.36×(72+84-56),
=0.36×100,
=36;

②999.99×222.22+333.33×333.34,
=(333.33×3)×222.22+333.33×333.34,
=333.33×(3×222.22)+333.33×333.34,
=333.33×666.66+333.33×333.34,
=333.33×(666.66+333.34),
=333.33×1000,
=333330.
点评:完成本题要认真分析式中数据,然后找出合适的巧算方法.
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