脱式计算(其中④、⑤两小题必须简算).
①730-240÷15×16??????????????????
②[2.06-(1.73-0.29)]×1.5
③÷[(+)×]
④6.8+2.37+7.63+4.2??????
⑤×17÷9+3÷8×.
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解:①730-240÷15×16,
=730-256,
=474;
②[2.06-(1.73-0.29)]×1.5,
=[2.06-1.44]×1.5,
=0.62×1.5,
=0.93;
③÷[(+)×],
=÷[×],
=÷,
=×6,
=;
④6.8+2.37+7.63+4.2,
=(6.8+4.2)+(2.37+7.63),
=11+10,
=21;
⑤×17÷9+3÷8×,
=×17×+3××,
=×+×,
=(+)×,
=.
解析分析:①先算除法和乘法,再算减法;②③先算小括号内的,再算中括号内的,最后算括号外的;④运用加法交换律和结合律简算;⑤把除法改为乘法,运用乘法分配律简算.
点评:此题考查了四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.