解:(1)2010-4848÷9.6×2.4,
=2010-505×2.4,
=2010-1212,
=798;
(2)(

-

×

)÷

,
=(

)

,
=

,
=2.25;
(3)

×[

-(

-

)],
=

×[

-

],
=

×

,
=0.5;
(4)(

+

+

)×12+

,
=

×12

×12

×12

,
=8+5+(

),
=13+1,
=14;
(5)設(shè)要求的數(shù)是x,
18+[

×1.25+(

+x×12)]÷0.125=86,
18+[

×1.25+

+12x]÷0.125=86,
18+[1+12x]÷0.125=86,
18+8+96x=86,
26+96x-26=86-26,
96x÷96=60÷96,
x=0.625.
答:要求的數(shù)是0.625,
故答案為:798,2.25,0.5,14,0.625.
分析:(1)(2)(3)依據(jù)四則運(yùn)算順序解答,
(4)先運(yùn)用乘法分配律算出(

+

+

)×12=8+5+

,再運(yùn)用加法結(jié)合律解答,
(5)設(shè)要求的數(shù)是x,再依據(jù)等式性質(zhì)解方程求解.
點(diǎn)評:(1)(2)(3)考查學(xué)生對于四則運(yùn)算計算方法掌握,
(4)考察運(yùn)用乘法分配律以及加法結(jié)合律能力,
(5)考查依據(jù)等式性質(zhì)解方程能力.