脱式计算:131.2÷82+10.4×4.5÷0.75÷[-(0.375+0.25)][-(1.125-)]÷5.

发布时间:2020-07-30 11:59:08

脱式计算:131.2÷82+10.4×4.5÷0.75÷[-(0.375+0.25)][-(1.125-)]÷5.

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解:(1)131.2÷82+10.4×4.5,
=1.6+46.8,
=48.4;

(2)÷0.75,
=÷,
=×,
=(+)×,
=×,
=;

(3)÷[-(0.375+0.25)],
=÷[-0.625],
=÷[-],
=÷,
=×,
=;

(4)[-(1.125-)]÷5,
=[-(1.125-0.125)]÷5,
=[-1]÷5,
=×,
=.

解析分析:(1)先算除法和乘法,再算加法;(2)把小数化为分数,然后把除法改为乘法,运用乘法分配律简算;(3)(4)先算小括号内的,再算中括号内的,最后算括号外的.

点评:此题考查了小数、分数的四则混合运算,注意运算顺序和运算法则,同时注意数字的转化.
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