计算下面各题,怎么简便就怎样算①9-(3+0.4)②1.8×+2.2×25%③(8-10.5×)÷4④2÷[5-4.5×(20%+)].

发布时间:2020-08-04 15:38:43

计算下面各题,怎么简便就怎样算 ①9-(3+0.4)②1.8×+2.2×25%③(8-10.5×)÷4④2÷[5-4.5×(20%+)].

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解:①9-(3+0.4),
=9-(3+),
=9-3-,
=(9-)-3,
=9-3,
=5;

②1.8×+2.2×25%,
=1.8×+2.2×,
=(1.8+2.2)×,
=4×,
=1;

③(8-10.5×)÷4,
=(8-×)÷4,
=(8-8)÷4,
=×,
=;

④2÷[5-4.5×(20%+)],
=2÷[5.6-4.5×(+)],
=2÷[5.6-(4.5×+4.5×)],
=2÷[5.6-(0.9+1.5)],
=2÷[5.6-(0.9+1.5)],
=2÷3.2,
=÷,
=×,
=.
解析分析:①把小数化为分数,先算括号内的,再算括号外的;②把百分数化为分数,运用乘法分配律简算;③先算括号内的乘法,再算括号内的减法,最后算括号外的除法;④先算小括号内的,再算括号内的乘法,然后算中括号内的减法,最后算括号外的除法.

点评:此题考查了分数的四则混合运算,特别注意运算顺序和运算法则,灵活运用所学的运算律简便计算.
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