解:①85×54÷18+745,
=4590÷18+745,
=255+745,
=1000;
②3.4÷[(1.25+0.45)×2],
=3.4÷[1.7×2],
=3.4÷3.4,
=1;
③1080+270÷18-864,
=1080+15-864,
=1095-864,
=231;
④7.54+
+2.46+
,
=(7.54+2.46)+(
+
),
=10+4,
=14;
⑤(2.4-
)÷0.625+
,
=1.25÷0.625+0.8,
=2+0.8,
=2.8;
⑥98.9×99+98.9,
=98.9×(99+1),
=98.9×100,
=9890.
分析:①先算乘法,再算乘法,最后算加法;
②先算小括號(hào)里面的加法,再算中括號(hào)里面的乘法,最后算括號(hào)外的除法;
③先算除法,再算加法,最后算減法;
④根據(jù)加法交換律和結(jié)合律簡算;
⑤先算小括號(hào)里面的減法,再算括號(hào)外的除法,最后算括號(hào)外的加法;
⑥運(yùn)用乘法分配律簡算.
點(diǎn)評:本題考查了四則混合運(yùn)算,注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算定律進(jìn)行簡便計(jì)算.