计算下面各题,能简算的要简算
①31.9×18-8×31.9
②21÷(+)÷
③(+)×45
④(1-×70)÷
⑤12×(+-)
⑥(-0.125)÷0.5.
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解:①31.9×18-8×31.9,
=31.9×(18-8),
=31.9×10,
=319;
②21÷(+)÷,
=21÷÷,
=21××,
=35;
③(+)×45,
=×45+×45,
=30+6,
=36;
④(1-×70)÷,
=(1-)÷,
=×,
=;
⑤12×(+-),
=12×+12×-12×,
=3+2-4,
=1;
⑥(-0.125)÷0.5,
=(0.375-0.125)÷0.5,
=0.25÷0.5,
=0.5.
解析分析:①③⑤运用乘法分配律简算;②先算括号内的,把除法改为乘法,约分计算;④先算括号内的乘法,再算括号内的减法,最后算括号外的除法;⑥把分数化为小数,先算括号内的,再算括号外的.
点评:此题是考查四则混合运算的运算顺序,仔细观察算式的特点,灵活运用一些定律进行简便计算.