用遞等式計(jì)算,能簡(jiǎn)便的用簡(jiǎn)便方法計(jì)算:
916-816÷48×8
73×2.87+2.87×26+2.87
1.56÷0.24×(7-6.8)
0.9×[0.8-(0.2÷0.5+0.3)]
當(dāng)a=2.5、b=9、c=0.4時(shí),求abc的值.
解:(1)916-816÷48×8,
=916-17×8,
=916-136,
=780;
(2)73×2.87+2.87×26+2.87,
=(73+26)×2.87,
=100×2.87,
=287;
(3)1.56÷0.24×(7-6.8),
=6.5×0.2,
=1.3;
(4)0.9×[0.8-(0.2÷0.5+0.3)],
=0.9×[0.8-(0.4+0.3)],
=0.9×[0.8-0.7],
=0.9×0.1,
=0.09;
(5)abc=2.5×9×0.4,
=(2.5×0.4)×9,
=1×9
=9.
分析:(1)先算除法和乘法,再算減法;
(2)運(yùn)用乘法分配律簡(jiǎn)算;
(3)先算括號(hào)內(nèi)的,再算除法和乘法;
(4)先算小括號(hào)內(nèi)的除法,再算小括號(hào)內(nèi)的加法,然后算中括號(hào)內(nèi)的減法,最后算括號(hào)外的乘法;
(5)把a(bǔ)、b、c的值代入abc中,運(yùn)用乘法交換律與結(jié)合律計(jì)算即可.
點(diǎn)評(píng):此題主要考查小數(shù)的四則混合運(yùn)算的運(yùn)算順序,以及應(yīng)用運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.