下面各題怎樣簡(jiǎn)便就怎樣算.
①23+3.6-0.23+6.4
②5.12+5.12×99
③18÷0.45
④1.8÷[0.216÷(0.7-0.46)]
⑤8.5×6÷8.5×6
⑥50.8÷(26.5-7.5×3).
解:①23+3.6-0.23+6.4,
=(23-0.23)+(3.6+6.4),
=22.77+10,
=32.77;
②5.12+5.12×99,
=5.12×(1+99),
=5.12×100,
=512;
③18÷0.45,
=18
,
=18×
,
=40;
④1.8÷[0.216÷(0.7-0.46)],
=1.8÷[0.216÷0.24],
=1.8÷0.9,
=2;
⑤8.5×6÷8.5×6,
=(8.5÷8.5)×(6×6),
=1×36,
=36;
⑥50.8÷(26.5-7.5×3),
=50.8÷(26.5-22.5),
=50.8÷4,
=12.7.
分析:①運(yùn)用加法結(jié)合律簡(jiǎn)算,②運(yùn)用乘法分配律簡(jiǎn)算,③變成分?jǐn)?shù)再計(jì)算,⑤運(yùn)用乘法結(jié)合律簡(jiǎn)算,④、⑥按照先算乘除再算加減,有括號(hào)的先算括號(hào)里面的運(yùn)算順序計(jì)算.
點(diǎn)評(píng):運(yùn)算定律是常用的簡(jiǎn)便運(yùn)算的方法,要熟練掌握,靈活運(yùn)用.