用简便方法计算下面各题.2.42×10.1
1个回答

解题思路: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.

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.

点评:

本题考点: 运算定律与简便运算.

考点点评: 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.