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用简便方法计算下面各题.2.42×10.1 3.2×0.25×12.576.52+28.9×1.4+9.6×28.9-28.9.

编辑:chaxungu时间:2026-04-26 09:20:37分类:小学数学题库

用简便方法计算下面各题.
2.42×10.1            
3.2×0.25×12.5
76.52+(13.7-6.52)
28.9×1.4+9.6×28.9-28.9.解:①2.42×10.1,
=2.42×(10+0.1),
=2.42×10+2.42×0.1,
=24.2+0.242,
=24.442;

②3.2×0.25×12.5,
=4×0.8×0.25×12.5,
=(4×0.25)×(0.8×12.5),
=1×10,
=10;

③76.52+(13.7-6.52),
=76.52-6.52+13.7,
=70+13.7,
=83.7;

④28.9×1.4+9.6×28.9-28.9,
=28.9×(1.4+9.6-1),
=28.9×(11-1),
=28.9×10,
=289.
分析:①2.42×10.1 转化为:2.42×(10+0.1),再运用乘法分配律进行简算.
②3.2×0.25×12.5,转化为:4×0.8×0.25×12.5,再运用乘法交换律和结合律进行简算.
③76.52+(13.7-6.52),根据减法的运算性质进行简算.
④28.9×1.4+9.6×28.9-28.9,运用乘法分配律进行简算.
点评:此题考查的目的是理解掌握乘法的运算定律和减法的运算性质,并且能够灵活运用这些运算定律和运算性质进行简便计算.