计算:(1)(-17)+59+(-37);(2)(-18.65)+(-6.15)+18.15+6.15;(3)(-4)+(-3)+6+(-2);(4)(-0.5)+3

发布时间:2020-08-08 04:59:44

计算:
(1)(-17)+59+(-37);
(2)(-18.65)+(-6.15)+18.15+6.15;
(3)(-4)+(-3)+6+(-2);
(4)(-0.5)+3+2.75+(-5).

网友回答

解:(1)(-17)+59+(-37)
=[(-17)+(-37)]+59
=(-54)+59
=5;
(2)(-18.65)+(-6.15)+18.15+6.15
=[(-6.15)+6.15]+[(-18.65)+18.15]
=0+(-0.5)
=-0.5;
(3)(-4)+(-3)+6+(-2)
=[(-4)+(-3)+(-2)]+6
=(-10)+6
=-3;
(4)(-0.5)+3+2.75+(-5)
=[(-0.5)+(-5)]+(3+2.75)
=-6+6
=0.
解析分析:此题可以运用加法的交换律交换加数的位置,
(1)原式可变为[(-17)+(-37)]+59;
(2)原式可变为[(-6.15)+6.15]+[(-18.65)+18.15];
(3)原式可变为[(-4)+(-3)+(-2)]+6;
(4)原式可变为[(-0.5)+(-5)]+(3+2.75);
然后利用加法的结合律相加即可.

点评:本题考查了加法运算律.解题关键是综合应用加法交换律和结合律,简化计算.注意题中是否有互为相反数,互为相反数的两个数和为0.
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