(1)738+123+362
(2)1184-816-284+116
(3)207×(410-290)
(4)862+38×(1886÷46)
(5)6000÷(7500÷25+7500÷75)
(6)492÷[(459-159)÷25].
解:(1)738+123+362,
=738+362+123,
=1100+123,
=1223;
(2)1184-816-284+116,
=(1184-284)-(816-116),
=900-700,
=200;
(3)207×(410-290),
=207×120,
=200×120+7×120,
=24000+840,
=24840;
(4)862+38×(1886÷46),
=862+38×41,
=862+1558,
=2420;
(5)6000÷(7500÷25+7500÷75),
=6000÷(300+100),
=6000÷400,
=15;
(6)492÷[(459-159)÷25],
=492÷[300÷25],
=492÷12,
=41.
分析:(1)运用加法交换律即可解答,
(2)运用减法性质即可解答,
(3)运用乘法分配律解答,
(4)(5)(6)依据四则混合运算顺序解答:先算第二级运算,再算第一级运算,如果只含有同一级运算,按照从左到右顺序计算,有括号先算括号里面的.
点评:(1)依据四则混合运算顺序正确进行计算,(2)正确运用简便方法解决问题,是本题考查知识点.