下面各题,怎样算简便就怎样算. ①×②÷③×+÷④÷(+)⑤(-)÷⑥÷+×⑦÷[(+)×]⑧[-(+)]×15.
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解:①×=;
②÷,
=×,
=1;
③×+÷,
=+×,
=+,
=;
④÷(+),
=÷,
=×,
=;
⑤(-)÷,
=×,
=;
⑥÷+×,
=×+×,
=(+)×,
=×,
=;
⑦÷[(+)×],
=÷[×],
=÷,
=×15,
=3;
⑧[-(+)]×15,
=[-]×15,
=×15,
=4.
解析分析:①约分计算;②把除法改为乘法,约分计算;③先算乘法和除法,再算加法;④⑤先算括号内的,再算括号外的;⑥把除法改为乘法,运用乘法分配律简算;⑦⑧先算小括号内的,再算中括号内的,最后算括号外的.
点评:此题考查了四则混合运算,注意运算顺序,同时要仔细观察算式的特点,灵活运用一些定律进行简便计算.