(1)75×4.67+17.9×2.5
(2)數(shù)學(xué)公式
(3)456÷123×789÷456÷789×123
(4)數(shù)學(xué)公式

解:(1)75×4.67+17.9×2.5,
=(25×3)×4.67+1.79×25,
=25×14.01+1.79×25,
=25×(14.01+1.79),
=25×15.8,
=395;

(2),
=,
=(÷)×(1÷)×(÷),
=2×5××2,
=10×2,
=20;

(3)456÷123×789÷789×123,
=(456÷456)×(123÷123)×(789÷789),
=1×1×1,
=1;

(4),
=3+11.55-0.02
=15.3-0.02,
=15.28.
分析:(1)75=25×5,然后再根據(jù)乘法分配律進(jìn)行簡(jiǎn)算;
(2)根據(jù)除法的性質(zhì)進(jìn)行簡(jiǎn)算;
(3)根據(jù)乘法交換律和結(jié)合律進(jìn)行簡(jiǎn)算;
(4)先算乘法和除法,再算加法,最后算減法.
點(diǎn)評(píng):考查了運(yùn)算定律與簡(jiǎn)便運(yùn)算,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)算律簡(jiǎn)便計(jì)算.
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