用遞等式計(jì)算(能簡(jiǎn)算的要簡(jiǎn)算)
(1)13.56-0.56×6.8
(2)1.25×0.96×8
(3)4.85×3.9+6.1×4.85
(4)7.8÷[1÷(1.1-1.09)]
(5)8.56+10.35-2.56+8.65.
解:(1)13.56-0.56×6.8,
=13.56-3.808,
=9.752;
(2)1.25×0.96×8,
=12.5×8×0.96,
=100×0.96,
=96;
(3)4.85×3.9+6.1×4.85,
=(3.9+6.1)×4.85,
=10×4.85,
=48.5;
(4)7.8÷[1÷(1.1-1.09)],
=7.8÷(1÷0.01),
=7.8÷100,
=0.078;
(5)8.56+10.35-2.56+8.65,
=(8.56-2.56)+(10.35+8.65),
=6+19,
=25.
分析:(1)(4)根據(jù)四則混合運(yùn)算的運(yùn)算順序計(jì)算即可:先算乘除,再算加減,有括號(hào)的要先算括號(hào)里面的.
(2)可根據(jù)乘法交換律計(jì)算;
(3)可根據(jù)乘法分配律計(jì)算;
(5)可根據(jù)加法交換律,結(jié)合律計(jì)算.
點(diǎn)評(píng):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(jiǎn)便計(jì)算.