简便方法计算①245-65-35②186+82+18③25×(4×27)④8×(25+20)⑤24×56+44×24⑥700÷4÷25⑦0.9+99×0.9⑧8.5

发布时间:2020-07-30 20:25:21

简便方法计算 ①245-65-35②186+82+18③25×(4×27)④8×(25+20)⑤24×56+44×24⑥700÷4÷25⑦0.9+99×0.9⑧8.59-4.1×0.1-4.59⑨5.4×10.2⑩2.5×(40-4)

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解:①245-65-35,
=245-(65+35),
=245-100,
=145;

②186+82+18,
=186+(82+18),
=186+100,
=286;

③25×(4×27),
=(25×4)×27,
=100×27,
=2700;

④8×(25+20),
=8×25+20×8,
=200+160,
=360;

⑤24×56+44×24,
=24×(56+44),
=24×100,
=2400;

⑥700÷4÷25,
=700÷(4×25),
=700÷100,
=7;

⑦0.9+99×0.9,
=0.9×(1+99),
=0.9×100,
=90;

⑧8.59-4.1×0.1-4.59,
=8.59-0.41-4.59,
=8.59-(0.41+4.59),
=8.59-5,
=3.59;

⑨5.4×10.2,
=5.4×(10+0.2),
=54+1.08,
=55.08;

⑩2.5×(40-4),
=2.5×40-4×2.5,
=100-10,
=90.
解析分析:①运用减法的性质简算;②运用加法结合律简算;③运用乘法结合律简算;④⑤⑦⑩运用乘法分配律简算;⑥运用除法的性质简算;⑧先算乘法,原式变为8.59-0.41-4.59,再运用减法的性质简算;⑨把10.2看作10+0.2,运用乘法分配律简算.

点评:完成本题要注意分析式中数据,运用合适的简便方法计算.
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