题目内容
2.简算.0.2222×0.76+0.8888×0.06
9.9+99.9+999.9+9999.9+0.4.
分析 1、把0.8888分成0.2222乘4,0.8888×0.06变成0.2222×4×0.06=0.2222×0.24,再用乘法分配律计算.
2、把0.4变成0.1+0.1+0.1+0.1,再用加法结合律和加法交换律计算.
解答 解:1、0.2222×0.76+0.8888×0.06
=0.2222×0.76+0.2222×4×0.06
=0.2222×0.76+0.2222×0.24
=0.2222×(0.76+0.24)
=0.2222×1
=0.2222
2、9.9+99.9+999.9+9999.9+0.4
=9.9+99.9+999.9+9999.9+0.1+0.1+0.1+0.1
=(9.9+0.1)+(99.9+0.1)+(999.9+0.1)+(9999.9+0.1)
=10+100+1000+10000
=11110.
点评 关于巧算的题目,数字都有一定的特点,所以要注意审题,从数字特点出发,巧妙灵活地应用运算性质、定律得以简算.
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