用简便方法计算 574+498487-305395-395733+260+67998+98+82596-68-432786-299-98237-196+63-4.
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解:(1)574+498,
=574+(500-2),
=574+500-2,
=1074-2,
=1072;
(2)487-305,
=487-(300+5),
=487-300-5,
=187-5,
=182;
(3)395-395=0;
(4)733+260+67,
=733+67+260,
=800+260,
=1060;
(5)998+98+8,
=(1000-2)+(100-2)+(10-2),
=(1000+100+10)-(2+2+2),
=1110-6,
=1104;
(6)2596-68-432,
=2596-(68+432),
=2596-500,
=2096;
(7)786-299-98,
=786-(300-1)-(100-2),
=786-300+1-100+2,
=(786-300-100)+(1+2),
=386+3,
=389;
(8)237-196+63-4,
=(237+64)-(196+4),
=300-200,
=100.
解析分析:(1)(2)(5)(7)运用凑整法简算;
(3)根据减数和被减数相等,差是0计算;
(4)运用加法交换律简算;
(6)根据减法的性质简算;
(8)根据加法结合律和减法的性质简算.
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.