用简便方法计算下列各题,并说说所应用的运算定律.(1)78×92+78×8(2)127×24-24×27(3)(25+20)×4(4)(125-30)×80(5)39

发布时间:2020-08-08 17:48:39

用简便方法计算下列各题,并说说所应用的运算定律.
(1)78×92+78×8
(2)127×24-24×27
(3)(25+20)×4
(4)(125-30)×80
(5)39×56+56×56+5×56
(6)24×45-45×9+85×45
(7)43×99
(8)207×101.

网友回答

解:(1)78×92+78×8,
=78×(92+8),
=78×100,
=7800;

(2)127×24-24×27,
=(127-27)×24,
=100×24,
=2400;

(3)(25+20)×4,
=25×4+20×4,
=100+80,
=180;

(4)(125-30)×80,
=125×80-30×80,
=10000-2400,
=7600;

(5)39×56+56×56+5×56,
=(39+56+5)×56,
=100×56,
=5600;

(6)24×45-45×9+85×45,
=45×(24-9+85),
=45×100,
=4500;

(7)43×99,
=43×(100-1),
=43×100-43,
=4300-43,
=4257;

(8)207×101,
=207×(100+1),
=207×100+207,
=20700+207,
=20907.
解析分析:根据乘法分配律:(a+b)c=ac+bc,计算即可.

点评:此题是考查运算定律与简便运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.
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