看谁算得准.
4.2-1.38+5.8-3.62???????20112-2011×2010???????1-(-)×34×0.8×2.5×1.25????(+)×〔(+)÷〕×.
网友回答
解:(1)4.2-1.38+5.8-3.62,
=(4.2+5.8)-(1.38+3.62),
=10-5,
=5;
(2)20112-2011×2010,
=2011×2011-2011×2010,
=2011×(2011-2010),
=2011×1,
=2011;
(3)1-(-)×3,
=1-×3,
=1-,
=;
(4)4×0.8×2.5×1.25,
=(4×2.5)×(0.8×1.25),
=10×1,
=10;
(5)(+)×,
=×+×,
=2+,
=2;
(6)[(+)÷]×,
=[]×,
=××,
=×,
=.
解析分析:(1)运用加法结合律与减法的性质简算;
(2)20112分解成2011×2011,然后用乘法分配律简算;
(3)先算小括号里面的减法,再算括号外的乘法,最后算括号外的减法;
(4)运用乘法结合律简算;
(5)运用乘法分配律简算;
(6)先算小括号里面的加法,然后把除法变成乘法,去掉括号,运用乘法交换律简算.
点评:运算定律是常用的简便运算的方法,要熟练掌握,灵活运用.