脱式计算(能简算的要简算)①3-2+5-1②14.85-1.58×8+31.2÷1.2③(1+2)÷(2-1)④2.25×+2.75÷1+60%⑤9.81×0.1+0

发布时间:2020-08-05 08:32:50

脱式计算(能简算的要简算)
①3-2+5-1
②14.85-1.58×8+31.2÷1.2
③(1+2)÷(2-1)
④2.25×+2.75÷1+60%
⑤9.81×0.1+0.5×98.1+0.049×981
⑥1000+999-998-997+996+995-994-993+…+104+103-102-101.

网友回答

解:①3-2+5-1,
=(3+5)-(2+1),
=9-4,
=5;

②14.85-1.58×8+31.2÷1.2,
=14.85-12.64+26,
=2.21+26,
=28.21;

③(1+2)÷(2-1),
=÷,
=7;

④2.25×+2.75÷1+60%,
=2.25×+2.75×+,
=(2.25+2.75+1)×,
=6×,
=3;

⑤9.81×0.1+0.5×98.1+0.049×981,
=9.81×0.1+5×9.81+4.9×9.81,
=9.81×(0.1+5+4.9),
=9.81×10,
=98.1;

⑥1000+999-998-997+996+995-994-993+…+104+103-102-101,
=(1000+999-998-997)+(996+995-994-993)+…+(104+103-102-101),
=4×225,
=900.
解析分析:①根据加法的交换律和连减的简便方法计算即可;
②先算乘除,再算加减;
③先计算括号里面的,再计算括号外面的除法;
④根据乘法分配律简便计算;
⑤先变形为9.81×0.1+5×9.81+4.9×9.81,再根据乘法分配律简便计算;
⑥将算式四个分为一组,然后找一下共有几组这样的数,然后根据规律解答.

点评:考查了运算定律与简便运算,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律简便计算.
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