题目内容
简算下面各题
(1)333×334+999×222
(2)0.125×32×2.5
(3)5.7×7.5+5.7×1.5+5.7.
分析:(1)通过观察可知,999是333的倍数,若将999×222转化为333×3×222,就可根据乘法分配律求出结果;
(2)根据数字特点,把32拆成8×4,运用乘法结合律简算;
(3)把5.7看作5.7×1,然后运用乘法分配律的逆运算简算.
解答:解:(1)333×334+999×222,
=333×334+333×(3×222),
=333×334+333×666,
=333×(334+666),
=333×1000,
=333000;
(2)0.125×32×2.5,
=0.125×8×4×2.5,
=0.125×8×(4×2.5),
=1×10,
=10;
(3)5.7×7.5+5.7×1.5+5.7,
=(7.5+1.5+1)×5.7,
=10×5.7,
=57.
点评:此题主要考查学生根据数的特点,巧妙灵活地运用运算定律,进行简算的能力.
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