脫式計(jì)算 (能簡(jiǎn)算的要簡(jiǎn)算)
10.1×8.3
12.5×3.2×25
57.2×42+42.8×42
108.8-8.8×1.2.
解:(1)10.1×8.3,
=(10+0.1)×8.3,
=10×8.3+0.1×8.3,
=83+0.83,
=83.83;
(2)12.5×3.2×25,
=12.5×8×0.4×25,
=(12.5×8)×(0.4×25),
=100×10,
=1000;
(3)57.2×42+42.8×42
=(57.2+42.8)×42
=100×42
=4200;
(4)108.8-8.8×1.2
=108.8-10.56
=98.24.
分析:(1)把原式變形為(10+0.1)×8.3,然后根據(jù)乘法的分配律簡(jiǎn)算;
(2)把原式變形為12.5×8×0.4×25,然后根據(jù)乘法的結(jié)合律解答;
(3)直接利用乘法的分配律簡(jiǎn)算;
(4)先算乘法再算減法.
點(diǎn)評(píng):此題是考查簡(jiǎn)便計(jì)算,要仔細(xì)觀察算式的特點(diǎn),靈活運(yùn)用一些定律進(jìn)行簡(jiǎn)便計(jì)算.