42÷[14-(50-39)]0.25×12.5×4×89.8-2.36-1.64+4.236×(+-)×+÷[1-(+)]×24.
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解:(1)42÷[14-(50-39)],
=42÷[14-11],
=42÷3,
=14;
(2)0.25×12.5×4×8,
=(0.25×4)×(12.5×8),
=1×100,
=100;
(3)9.8-2.36-1.64+4.2,
=(9.8+4.2)-(2.36+1.64),
=14-4,
=10;
(4)36×(+-),
=36×+36×-36×,
=21+20-9,
=41-9,
=32;
(5)×+÷,
=×+×,
=(+)×,
=1×,
=;
(6)[1-(+)]×24,
=[1-]×24,
=×24,
=4.
解析分析:(1)先算小括号里面的减法,再算中括号里面的减法,最后算括号外的除法;
(2)运用乘法交换律和结合律简算;
(3)根据加法结合律以及减法的性质简算;
(4)运用乘法分配律简算;
(5)先把除法变成乘法,再运用乘法分配律简算;
(6)先算小括号里面的加法,再算中括号里面的减法,最后算括号外的乘法.
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.