巧算(1)1.33-0.76+5.67-2.24(2)0.25×3.75+0.75×3.75(3)1.25×2.5×8×0.4(4)1+5+9+13+…+3997+4

发布时间:2020-08-09 13:37:14

巧算
(1)1.33-0.76+5.67-2.24
(2)0.25×3.75+0.75×3.75(3)1.25×2.5×8×0.4(4)1+5+9+13+…+3997+4001.

网友回答

解:(1)1.33-0.76+5.67-2.24,
=(1.33+5.67)-(0.76+2.24),
=7-3,
=4;

(2)0.25×3.75+0.75×3.75,
=(0.25+0.75)×3.75,
=1×3.75,
=3.75;

(3)1.25×2.5×8×0.4,
=(1.25×8)×(2.5×0.4),
=10×1,
=10;

(4)1+5+9+13+…+3997+4001,
=(1+4001)+(5+3997)+…+(1997+2005)+2001,
=4002×500+2001,
=2001000+2001,
=2003001.
解析分析:(1)根据加法交换律和结合律进行计算,
(2)根据乘法分配律进行计算,
(3)根据乘法交换律和结合律进行计算,
(4)根据高斯求和的方法进行计算.

点评:本题综合考查了学生的计算能力,以及在四则运算中灵活运用简便算法的能力.
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