简便计算
5.68-1.57-1.436.9×0.9960×(+-)??×+×.
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解:(1)5.68-1.57-1.43
=5.68-(1.57+1.43),
=5.68-3,
=2.68;
(2)6.9×0.99,
=6.9×(1-0.01),
=6.9-6.9×0.01,
=6.9-0.069,
=6.831;
(3)60×(+-),
=60×+60×-60×,
=36+10-16,
=30;
(4)×+×,
=×(+),
=×1,
=.
解析分析:(1)利用减法的简便方法,把1.57+1.43括起来;
(2)把0.99写成1-0.01,再利用乘法分配律的逆运算计算;
(3)利用乘法分配律的逆运算,把60和括号内的分数逐个相乘,再求和或差;
(4)利用乘法分配律,把公因数提取出来;
点评:灵活应用运算定律可使问题简单化.